This paper discusses the masses and possible members of 2^1S0 and 2^3S1 meson multiplets in the framework of meson-meson mixing and Regge phenomenology. For the 2^1S0 meson nonet, K＊ （1460） may be the observed stat...This paper discusses the masses and possible members of 2^1S0 and 2^3S1 meson multiplets in the framework of meson-meson mixing and Regge phenomenology. For the 2^1S0 meson nonet, K＊ （1460） may be the observed state of the 2^1S0 isodoublet with a mass of 1400 MeV and the mass of w（1420） is 1412 MeV. For the 2^3S1 meson nonet, K＊（1410） seems too light to be the 2^3S1 ns member. The fact that the agreement between the present findings and those given by experiments and other different approaches is satisfactory implies that the assignments in this paper may be reasonable.展开更多
In the framework of Regge phenomenology and meson meson mixing, this paper estimates the mass of isoscalar state （ss^-） of the 1^3D1 meson nonet, and the results given by two different approaches are 1735.51 ± ...In the framework of Regge phenomenology and meson meson mixing, this paper estimates the mass of isoscalar state （ss^-） of the 1^3D1 meson nonet, and the results given by two different approaches are 1735.51 ± 59MeV and 1730.29 ±46.SMeV.展开更多
We demonstrate a possibility of computation of inelastic scattering cross-section in a multi-peripheral model by application of the Laplace method to multidimensional integral over the domain of physical process. Foun...We demonstrate a possibility of computation of inelastic scattering cross-section in a multi-peripheral model by application of the Laplace method to multidimensional integral over the domain of physical process. Founded the constrained maximum point of scattering cross-section integral under condition of the energy-momentum conservation. The integrand is substituted for an expression of Gaussian type in the neighborhood of this point. It made possible to compute this integral numerically. The paper has two parts. The hunting procedure of the constrained maximum point is considered and the properties of this maximum point are discussed in the given part of the paper. It is shown that virtuality of all internal lines of the “comb” diagram reduced at the constrained maximum point with energy growth. In the second part of the paper we give some the arguments in favor of consideration of the mechanism of virtuality reduction as the mechanism of the total hadron scattering cross-section growth, which is not taken into account within the framework of Regge theory.展开更多
We present the masses of N baryons up to 3300 MeV. The radial and orbital excited states are determined using hypercentral constituent quark model with the first-order correction. The obtained masses are compared with...We present the masses of N baryons up to 3300 MeV. The radial and orbital excited states are determined using hypercentral constituent quark model with the first-order correction. The obtained masses are compared with the experimental results and other theoretical predictions. The Regge trajectories are also determined in(n, M^2) and(J, M^2) planes. Moreover, the magnetic moments with J^p =(1^+/2,1^-/2) are calculated. We also calculates the Nπ decay width of excited nucleons.展开更多
We calculate the mass spectra of the singly charmed baryons （∧＋ c, ∑0 c,[I]0c and Ω0 c） using the hypercentral constituent quark model （hCQM）. The hyper color Coulomb plus linear potential is used to calcula...We calculate the mass spectra of the singly charmed baryons （∧＋ c, ∑0 c,[I]0c and Ω0 c） using the hypercentral constituent quark model （hCQM）. The hyper color Coulomb plus linear potential is used to calculate the masses ofpositive （up to JP = 7＋/2 ）9 and negative （up to JP = 9-/2）parity excited states. The spin-spin, spin-orbital and tensorinteraction terms are-also incorporated for mass spectra. We have compared our results with other theoretical and lattice QCD predictions for each baryon. Moreover, the known experimental results are also reasonably close to our predicted masses. By using the radial and orbital excitation, we construct Regge trajectories for the baryons in the （n,M2） plane and find their slopes and intercepts. Other properties of these baryons, like magnetic moments, radiative transitions and radiative decay widths, are also calculated successfully.展开更多
We show that the model of discrete spaces that we have proposed in previous contributions gives a comprehensive and detailed interpretation of the properties of the standard model of particles. Moreover the model also...We show that the model of discrete spaces that we have proposed in previous contributions gives a comprehensive and detailed interpretation of the properties of the standard model of particles. Moreover the model also suggests the possible existence of a non-standard family of particles.展开更多
Based on the meson-meson mixing and Regge trajectory, this paper establishes the mass relations which can describe the mass spectrum of 1^1 P1 meson state. Using these mass relations, it obtains the mass of K1B, hi （...Based on the meson-meson mixing and Regge trajectory, this paper establishes the mass relations which can describe the mass spectrum of 1^1 P1 meson state. Using these mass relations, it obtains the mass of K1B, hi （1380） and hc（1P） to be 1358.5MeV, 1468 MeV and 3543.9 MeV, respectively. The results are compared with other theoretical results and should be tested by experiments in the future.展开更多
A Gaussian wave function is used for detailed study of the mass spectra of the B and Bs mesons using a Cornell potential incorporated with （1/m） correction in the potential energy term and expansion of the kinetic ...A Gaussian wave function is used for detailed study of the mass spectra of the B and Bs mesons using a Cornell potential incorporated with （1/m） correction in the potential energy term and expansion of the kinetic energy term up to （p10） for relativistic correction of the Hamiltonian. The predicted excited states for the B and Bs mesons are in very good agreement with results obtained by experiment. We assign B2（5747） and Bs2（5840） as the 1^3p2 state, B1（5721） and Bs1（5830） as the 1P1 state, B0（5732） as the 1^3P0 state, Bs1（5850） as the 1P1 state and B（5970） as the 23S1 state. We investigate the Regge trajectories in the （J,M2） and （nr,M2） planes with their corresponding parameters. The branching ratios for leptonic and radiative-leptonic decays are estimated for the B and Bs mesons. Our results are in good agreement with experimental observations as well as outcomes of other theoretical models.展开更多
We extract the mass spectrum of the triply heavy baryon ?ccbusing the hypercentral constituent quark model. The first order correction is also added to the potential term of the Hamiltonian. The radial and orbital exc...We extract the mass spectrum of the triply heavy baryon ?ccbusing the hypercentral constituent quark model. The first order correction is also added to the potential term of the Hamiltonian. The radial and orbital excited state masses are determined, and the Regge trajectories and magnetic moments for this baryon are also given.展开更多
The symmetry and |m| partial-wave analysis for two-dimensional (2D) Coulomb-scattering is investigated. As a function of energyE, the |m| partial-wave scattering amplitudef |m|(θ) is analytically continuated to the, ...The symmetry and |m| partial-wave analysis for two-dimensional (2D) Coulomb-scattering is investigated. As a function of energyE, the |m| partial-wave scattering amplitudef |m|(θ) is analytically continuated to the, negativeE (complexk) plane, and it is found that the bound state energy eigenvalues (E<0) are just located at the poles off |m|(θ) on the positive imaginaryk axis as is expected. In addition, as a function of |m|,f |m|(θ) is analytically continuated to the complex |m| plane, the bound state energy eigenvalues are just located at the poles off |m|(θ) on the positive real |m| axis.展开更多
The mass spectra of charmonium are investigated using a Coulomb plus linear（Cornell）potential.Gaussian wave functions in position space as well as in momentum space are employed to calculate the expectation values o...The mass spectra of charmonium are investigated using a Coulomb plus linear（Cornell）potential.Gaussian wave functions in position space as well as in momentum space are employed to calculate the expectation values of potential and kinetic energy respectively.Various experimental states（X（4660）（5^3S1）,X（3872）（2^3P1）,X（3900）（2^1P1）,X（3915）（2^3P0）and X（4274）（3^3P1）etc.）are assigned as charmonium states.We also study the Regge trajectories,pseudoscalar and vector decay constants,electric and magnetic dipole transition rates,and annihilation decay widths for charmonium states.展开更多
In this paper, we solve the eigen solutions to the Dirac equation with local parabolic potential which is approximately equal to the short distance potential generated by spinor itself. The energy spectrum is quite di...In this paper, we solve the eigen solutions to the Dirac equation with local parabolic potential which is approximately equal to the short distance potential generated by spinor itself. The energy spectrum is quite different from that with Coulomb potential. The mass spectrum of some bary-ons is similar to this one. The angular momentum-mass relation is quite similar to the Regge trajectories. The parabolic potential has a structure of asymptotic freedom near the center and confinement at a large distance. So, the results imply that, the local parabolic potential may be more suitable for describing the nuclear potential. The procedure of solving can also be used for some other cases of Dirac equation with complicated potential.展开更多
We present our recent study of pion-nucleon charge exchange amplitudes above 2 GeV. We analyze the forward pion-nucleon charge exchange reaction data in a Regge model and compare the resulting amplitudes with those fr...We present our recent study of pion-nucleon charge exchange amplitudes above 2 GeV. We analyze the forward pion-nucleon charge exchange reaction data in a Regge model and compare the resulting amplitudes with those from the Karlsruhe-Helsinki and George-Washington-University partial-wave analyses. We explore possible high-energy constraints for theoretical baryon resonance analyses in the energy region above 2 GeV. Our results show that for the pion-nucleon charge exchange reaction, the appropriate energy region for matching meson-nucleon dynamics to diffractive scattering should be around 3 GeV for the helicity flip amplitude.展开更多
The masses of some orbitally and radially excited heavy-light mesons are calculated in Regge phenomenol- ogy. The results are in reasonable agreement with the experimental data and those given in many other theoretica...The masses of some orbitally and radially excited heavy-light mesons are calculated in Regge phenomenol- ogy. The results are in reasonable agreement with the experimental data and those given in many other theoretical approaches. Based on the calculation, we suggest that the recently observed D（2550）, D（2600） and D（2760） can be assigned as the charmed members of the 21S0, 23S1 and 13D1 multiplets, respectively. D＇1（2700） may be assigned as the charm-strange member of the 23S1 state. The results may be helpful in understanding the nature of current and future experimentally observed heavy-light mesons.展开更多
We demonstrate a new technique for calculating proton-proton inelastic cross-section, which allows one by application of the Laplace' method replace the integrand in the integral for the scattering amplitude in th...We demonstrate a new technique for calculating proton-proton inelastic cross-section, which allows one by application of the Laplace' method replace the integrand in the integral for the scattering amplitude in the vicinity of the maximum point by expression of Gaussian type. This, in turn, allows us to overcome the computational difficulties for the calculation of the integrals expressing the cross section to sufficiently large numbers of particles. We have managed to overcome these problems in calculating the proton-proton inelastic cross-section for production (n ≤ 8) number of secondary particles in within the framework of φ3 model. As the result the obtained dependence of inelastic cross-section and total scattering cross-section on the energy √s are qualitative agrees with the experimental data. Such description of total cross-section behavior differs considerably from existing now description, where reggeons exchange with the intercept greater than unity is considered.展开更多
The well known finite elements Regge calculus is transformed to a triangulation in the hyperbolic plane using fractal Rindler wedges as tiling elements. The final result is an expanding de Sitter hyperbolic, i.e. Gaus...The well known finite elements Regge calculus is transformed to a triangulation in the hyperbolic plane using fractal Rindler wedges as tiling elements. The final result is an expanding de Sitter hyperbolic, i.e. Gauss-Bolyai-Lobachevsky universe with dark energy and ordinary energy densities in full agreement with cosmic observations and measurements. In the course of obtaining this vital result, the work addresses fundamental points connected to a host of subjects, namely Hardy’s quantum entanglement, an extension of Turing’s machine to a transfinite version, the phenomenon of measure concentration in the context of Banach-like spaces with high dimensionality as well as the pioneering work on the relation between quantum entanglement and computational efficiency.展开更多
The Darwin instability effect in the binary systems(di-planets, di-stars, and di-galaxies) is analyzed within the model based on the Regge-like laws. All possible binary stars are found satisfying the Darwin instabili...The Darwin instability effect in the binary systems(di-planets, di-stars, and di-galaxies) is analyzed within the model based on the Regge-like laws. All possible binary stars are found satisfying the Darwin instability condition that requires to search for other mechanism triggering the merger of the contact binary objects. New analytical formulas are obtained for the orbital rotation period and the relative distance between components of the binary system. The decreasing and increasing periods as functions of mass asymmetry are related, respectively, with the non-overlapping and overlapping stage of the binary object evolution.展开更多
Ω^(-)baryon with sss quarks has been investigated through many theoretical studies so far but scarcely observed in experiments.Here,an attempt has been made to explore properties of Ω with hypercentral Constituent Q...Ω^(-)baryon with sss quarks has been investigated through many theoretical studies so far but scarcely observed in experiments.Here,an attempt has been made to explore properties of Ω with hypercentral Constituent Quark Model(hCQM)with a linear confining term.The resonance mass spectra have been obtained for 1S-4S,1P-4P,1D-3D,and IF-2F.The Regge trajectory has been investigated for the linear nature based on calculated data along with the magnetic moment.The present work has been compared with various approaches and known experimental findings.展开更多
We develop a new method for taking into account the interference contributions to proton-proton inelastic cross-section within the framework of the simplest multi-peripheral model based on the self-interacting scalar ...We develop a new method for taking into account the interference contributions to proton-proton inelastic cross-section within the framework of the simplest multi-peripheral model based on the self-interacting scalar φ3 field theory, using Laplace’s method for calculation of each interference contribution. We do not know any works that adopted the inter- ference contributions for inelastic processes. This is due to the generally adopted assumption that the main contribution to the integrals expressing the cross section makes multi-Regge domains with its characteristic strong ordering of secon- dary particles by rapidity. However, in this work, we find what kind of space domains makes a major contribution to the integral and these space domains are not multi-Regge. We demonstrated that because these interference contributions are significant, so they cannot be limited by a small part of them. With the help of the approximate replacement the sum of a huge number of these contributions by the integral were calculated partial cross sections for such numbers of secondary particles for which direct calculation would be impossible. The offered model qualitative agrees with experimental dependence of total scattering cross-section on energy with a characteristic minimum in the range ≈ 10 GeV. However, quantitative agreement was not achieved;we assume that due to the fact that we have examined the simplest diagrams of theory.展开更多
文摘This paper discusses the masses and possible members of 2^1S0 and 2^3S1 meson multiplets in the framework of meson-meson mixing and Regge phenomenology. For the 2^1S0 meson nonet, K＊ （1460） may be the observed state of the 2^1S0 isodoublet with a mass of 1400 MeV and the mass of w（1420） is 1412 MeV. For the 2^3S1 meson nonet, K＊（1410） seems too light to be the 2^3S1 ns member. The fact that the agreement between the present findings and those given by experiments and other different approaches is satisfactory implies that the assignments in this paper may be reasonable.
文摘In the framework of Regge phenomenology and meson meson mixing, this paper estimates the mass of isoscalar state （ss^-） of the 1^3D1 meson nonet, and the results given by two different approaches are 1735.51 ± 59MeV and 1730.29 ±46.SMeV.
文摘We demonstrate a possibility of computation of inelastic scattering cross-section in a multi-peripheral model by application of the Laplace method to multidimensional integral over the domain of physical process. Founded the constrained maximum point of scattering cross-section integral under condition of the energy-momentum conservation. The integrand is substituted for an expression of Gaussian type in the neighborhood of this point. It made possible to compute this integral numerically. The paper has two parts. The hunting procedure of the constrained maximum point is considered and the properties of this maximum point are discussed in the given part of the paper. It is shown that virtuality of all internal lines of the “comb” diagram reduced at the constrained maximum point with energy growth. In the second part of the paper we give some the arguments in favor of consideration of the mechanism of virtuality reduction as the mechanism of the total hadron scattering cross-section growth, which is not taken into account within the framework of Regge theory.
文摘We present the masses of N baryons up to 3300 MeV. The radial and orbital excited states are determined using hypercentral constituent quark model with the first-order correction. The obtained masses are compared with the experimental results and other theoretical predictions. The Regge trajectories are also determined in(n, M^2) and(J, M^2) planes. Moreover, the magnetic moments with J^p =(1^+/2,1^-/2) are calculated. We also calculates the Nπ decay width of excited nucleons.
基金Supported in part(A.K.Rai)by DST,India(SERB Fast Track Scheme SR/FTP/PS-152/2012)
文摘We calculate the mass spectra of the singly charmed baryons （∧＋ c, ∑0 c,[I]0c and Ω0 c） using the hypercentral constituent quark model （hCQM）. The hyper color Coulomb plus linear potential is used to calculate the masses ofpositive （up to JP = 7＋/2 ）9 and negative （up to JP = 9-/2）parity excited states. The spin-spin, spin-orbital and tensorinteraction terms are-also incorporated for mass spectra. We have compared our results with other theoretical and lattice QCD predictions for each baryon. Moreover, the known experimental results are also reasonably close to our predicted masses. By using the radial and orbital excitation, we construct Regge trajectories for the baryons in the （n,M2） plane and find their slopes and intercepts. Other properties of these baryons, like magnetic moments, radiative transitions and radiative decay widths, are also calculated successfully.
文摘We show that the model of discrete spaces that we have proposed in previous contributions gives a comprehensive and detailed interpretation of the properties of the standard model of particles. Moreover the model also suggests the possible existence of a non-standard family of particles.
文摘Based on the meson-meson mixing and Regge trajectory, this paper establishes the mass relations which can describe the mass spectrum of 1^1 P1 meson state. Using these mass relations, it obtains the mass of K1B, hi （1380） and hc（1P） to be 1358.5MeV, 1468 MeV and 3543.9 MeV, respectively. The results are compared with other theoretical results and should be tested by experiments in the future.
基金the financial support extended by the Department of Science of Technology,India under SERB fast track scheme SR/FTP/PS-152/2012
文摘A Gaussian wave function is used for detailed study of the mass spectra of the B and Bs mesons using a Cornell potential incorporated with （1/m） correction in the potential energy term and expansion of the kinetic energy term up to （p10） for relativistic correction of the Hamiltonian. The predicted excited states for the B and Bs mesons are in very good agreement with results obtained by experiment. We assign B2（5747） and Bs2（5840） as the 1^3p2 state, B1（5721） and Bs1（5830） as the 1P1 state, B0（5732） as the 1^3P0 state, Bs1（5850） as the 1P1 state and B（5970） as the 23S1 state. We investigate the Regge trajectories in the （J,M2） and （nr,M2） planes with their corresponding parameters. The branching ratios for leptonic and radiative-leptonic decays are estimated for the B and Bs mesons. Our results are in good agreement with experimental observations as well as outcomes of other theoretical models.
文摘We extract the mass spectrum of the triply heavy baryon ?ccbusing the hypercentral constituent quark model. The first order correction is also added to the potential term of the Hamiltonian. The radial and orbital excited state masses are determined, and the Regge trajectories and magnetic moments for this baryon are also given.
文摘The symmetry and |m| partial-wave analysis for two-dimensional (2D) Coulomb-scattering is investigated. As a function of energyE, the |m| partial-wave scattering amplitudef |m|(θ) is analytically continuated to the, negativeE (complexk) plane, and it is found that the bound state energy eigenvalues (E<0) are just located at the poles off |m|(θ) on the positive imaginaryk axis as is expected. In addition, as a function of |m|,f |m|(θ) is analytically continuated to the complex |m| plane, the bound state energy eigenvalues are just located at the poles off |m|(θ) on the positive real |m| axis.
基金the financial support extended by the Department of Science of Technology,India under the SERB fast track scheme SR/FTP /PS152/2012
文摘The mass spectra of charmonium are investigated using a Coulomb plus linear（Cornell）potential.Gaussian wave functions in position space as well as in momentum space are employed to calculate the expectation values of potential and kinetic energy respectively.Various experimental states（X（4660）（5^3S1）,X（3872）（2^3P1）,X（3900）（2^1P1）,X（3915）（2^3P0）and X（4274）（3^3P1）etc.）are assigned as charmonium states.We also study the Regge trajectories,pseudoscalar and vector decay constants,electric and magnetic dipole transition rates,and annihilation decay widths for charmonium states.
文摘In this paper, we solve the eigen solutions to the Dirac equation with local parabolic potential which is approximately equal to the short distance potential generated by spinor itself. The energy spectrum is quite different from that with Coulomb potential. The mass spectrum of some bary-ons is similar to this one. The angular momentum-mass relation is quite similar to the Regge trajectories. The parabolic potential has a structure of asymptotic freedom near the center and confinement at a large distance. So, the results imply that, the local parabolic potential may be more suitable for describing the nuclear potential. The procedure of solving can also be used for some other cases of Dirac equation with complicated potential.
基金Supported by Helmholtz Association through funds provided to the virtual institute 'Spin and strong QCD' (VH-VI-231)EU Integrated Infrastructure Initiative Hadron Physics Project (RII3-CT-2004-506078), DFG (SFB/TR 16, 'Subnuclear Structure of Matter'), JLab (SURA-06-C0452) and COSY FFE (41760632)
文摘We present our recent study of pion-nucleon charge exchange amplitudes above 2 GeV. We analyze the forward pion-nucleon charge exchange reaction data in a Regge model and compare the resulting amplitudes with those from the Karlsruhe-Helsinki and George-Washington-University partial-wave analyses. We explore possible high-energy constraints for theoretical baryon resonance analyses in the energy region above 2 GeV. Our results show that for the pion-nucleon charge exchange reaction, the appropriate energy region for matching meson-nucleon dynamics to diffractive scattering should be around 3 GeV for the helicity flip amplitude.
基金Supported by National Natural Science Foundation of China (10975018, 11147197, 11104072, U1204115)Key Project of Scientific and Technological Research of Education Department of Henan Province (12B140001)
文摘The masses of some orbitally and radially excited heavy-light mesons are calculated in Regge phenomenol- ogy. The results are in reasonable agreement with the experimental data and those given in many other theoretical approaches. Based on the calculation, we suggest that the recently observed D（2550）, D（2600） and D（2760） can be assigned as the charmed members of the 21S0, 23S1 and 13D1 multiplets, respectively. D＇1（2700） may be assigned as the charm-strange member of the 23S1 state. The results may be helpful in understanding the nature of current and future experimentally observed heavy-light mesons.
文摘We demonstrate a new technique for calculating proton-proton inelastic cross-section, which allows one by application of the Laplace' method replace the integrand in the integral for the scattering amplitude in the vicinity of the maximum point by expression of Gaussian type. This, in turn, allows us to overcome the computational difficulties for the calculation of the integrals expressing the cross section to sufficiently large numbers of particles. We have managed to overcome these problems in calculating the proton-proton inelastic cross-section for production (n ≤ 8) number of secondary particles in within the framework of φ3 model. As the result the obtained dependence of inelastic cross-section and total scattering cross-section on the energy √s are qualitative agrees with the experimental data. Such description of total cross-section behavior differs considerably from existing now description, where reggeons exchange with the intercept greater than unity is considered.
文摘The well known finite elements Regge calculus is transformed to a triangulation in the hyperbolic plane using fractal Rindler wedges as tiling elements. The final result is an expanding de Sitter hyperbolic, i.e. Gauss-Bolyai-Lobachevsky universe with dark energy and ordinary energy densities in full agreement with cosmic observations and measurements. In the course of obtaining this vital result, the work addresses fundamental points connected to a host of subjects, namely Hardy’s quantum entanglement, an extension of Turing’s machine to a transfinite version, the phenomenon of measure concentration in the context of Banach-like spaces with high dimensionality as well as the pioneering work on the relation between quantum entanglement and computational efficiency.
基金Supported by Russian Foundation for Basic Research(Moscow),grant number 17-52-12015DFG(Bonn),contract Le439/16
文摘The Darwin instability effect in the binary systems(di-planets, di-stars, and di-galaxies) is analyzed within the model based on the Regge-like laws. All possible binary stars are found satisfying the Darwin instability condition that requires to search for other mechanism triggering the merger of the contact binary objects. New analytical formulas are obtained for the orbital rotation period and the relative distance between components of the binary system. The decreasing and increasing periods as functions of mass asymmetry are related, respectively, with the non-overlapping and overlapping stage of the binary object evolution.
基金support from the Department of Science and Technology(DST)under INSPIRE-FELLOWSHIP scheme for pursuing this work。
文摘Ω^(-)baryon with sss quarks has been investigated through many theoretical studies so far but scarcely observed in experiments.Here,an attempt has been made to explore properties of Ω with hypercentral Constituent Quark Model(hCQM)with a linear confining term.The resonance mass spectra have been obtained for 1S-4S,1P-4P,1D-3D,and IF-2F.The Regge trajectory has been investigated for the linear nature based on calculated data along with the magnetic moment.The present work has been compared with various approaches and known experimental findings.
文摘We develop a new method for taking into account the interference contributions to proton-proton inelastic cross-section within the framework of the simplest multi-peripheral model based on the self-interacting scalar φ3 field theory, using Laplace’s method for calculation of each interference contribution. We do not know any works that adopted the inter- ference contributions for inelastic processes. This is due to the generally adopted assumption that the main contribution to the integrals expressing the cross section makes multi-Regge domains with its characteristic strong ordering of secon- dary particles by rapidity. However, in this work, we find what kind of space domains makes a major contribution to the integral and these space domains are not multi-Regge. We demonstrated that because these interference contributions are significant, so they cannot be limited by a small part of them. With the help of the approximate replacement the sum of a huge number of these contributions by the integral were calculated partial cross sections for such numbers of secondary particles for which direct calculation would be impossible. The offered model qualitative agrees with experimental dependence of total scattering cross-section on energy with a characteristic minimum in the range ≈ 10 GeV. However, quantitative agreement was not achieved;we assume that due to the fact that we have examined the simplest diagrams of theory.
