This paper presents the Solution to the “Three-body Problem” in the Light of the Maximum Ordinality Principle. In the first part, however, it starts with the Solution to the Solar System, made up of “11 Bodies”. T...This paper presents the Solution to the “Three-body Problem” in the Light of the Maximum Ordinality Principle. In the first part, however, it starts with the Solution to the Solar System, made up of “11 Bodies”. This is because, in such a context, the “Three-body Problem” can be analyzed in its all descriptive possibilities. Nonetheless, the paper also presents the Solution to the “Three-body Problem” with reference to Systems totally independent from the Solar System, such as, for example, the “Triple Stars” and the “Triple Galaxies”. In this way, the paper offers a sufficiently complete framework concerning the Solution to the “Three-body Problem”, always in the Light of the Maximum Ordinality Principle, described in detail in Appendix A.展开更多
We calculate the energy spectrum of three identical fermionic ultracold atoms in two different internal states confined in a two-dimensional anisotropic harmonic trap.Using the solutions of the corresponding two-body ...We calculate the energy spectrum of three identical fermionic ultracold atoms in two different internal states confined in a two-dimensional anisotropic harmonic trap.Using the solutions of the corresponding two-body problems obtained in our previous work(Chen et al 2020 Phys.Rev.A 101,053624),we derive the explicit transcendental equation for the eigen-energies,from which the energy spectrum is derived.Our results can be used for the calculation of the 3rd Virial coefficients or the studies of few-body dynamics.展开更多
We investigate low-lying bound states of the neutron-rich nucleus ^15B by assuming it is a three-body system made of an inert core 13 B and two valence neutrons. The three-body wave functions are obtained using the Fa...We investigate low-lying bound states of the neutron-rich nucleus ^15B by assuming it is a three-body system made of an inert core 13 B and two valence neutrons. The three-body wave functions are obtained using the Faddeev formalism. Special attention is paid to the excited state at 3.48（6） MeV observed in the 13 C（14 C,12 N）15 B reaction, whose properties are less clear theoretically. In our three-body model, besides the ground state 3/21, a second 3/22^-state is discovered at around 3.61 MeV, which might be identified with the excited state observed at3.48（6） MeV. We study this 3/22^-state in detail. It turns out to be a two-neutron halo state with a large matter radius rm≈4.770 fm. ＆nbsp展开更多
Abstract:The number of exotic candidates that are beyond the conventional quark model has increased dramatically over recent decades.Some of these can be viewed as analogues of the deuteron.Similarly,the existence of ...Abstract:The number of exotic candidates that are beyond the conventional quark model has increased dramatically over recent decades.Some of these can be viewed as analogues of the deuteron.Similarly,the existence of the triton indicates that bound states formed by three hadrons could also exist.To illustrate this possibility,we study the DD~*K and ■ systems using the Born-Oppenheimer approximation.To leading order,only one-pion exchange potentials are considered.This means that the three constituents share one virtual pion.This is similar to the role of the delocalizedπbond for the formation of benzene in chemistry.After solving the Schr?dinger equation,we find two three-body DD~*K and ■bound states with masses4317.92_(-4.32)^(+3.66)Me V and 11013.65_(-8.84)^(+8.49)Me V,respectively.The masses of their■and■ analogues are 4317.92~_(-6.55)(+6.13)Me V and 11013.65_(-9.02)^(+8.68)Me V,respectively.From the experimental side,the ■bound state could be found by analyzing the current world data on the B→J/ψππKprocess,by focusing on the J/ψπK channel.展开更多
The application of the diffusion Monte Carlo algorithm in three-body systems is studied. We develop a program and use it to cMculate the property of various three-body systems. Regular Coulomb systems such as atoms, m...The application of the diffusion Monte Carlo algorithm in three-body systems is studied. We develop a program and use it to cMculate the property of various three-body systems. Regular Coulomb systems such as atoms, molecules, and ions are investigated. The calculation is then extended to exotic systems where electrons are replaced by muons. Some nuclei with neutron halos are also calculated as three- body systems consisting of a core and two external nucleons. Our results agree well with experiments and others＇ work.展开更多
A complete potential harmonic scheme is presented,including the linked coupled hyperradial ordi nary differential equations and the secular equation of eigencnergy It has been used to directly solve the Scchrodinger e...A complete potential harmonic scheme is presented,including the linked coupled hyperradial ordi nary differential equations and the secular equation of eigencnergy It has been used to directly solve the Scchrodinger equations of helium-like three-body systems (nuclear charge Z=1-9),and very accurate ground state eigonenergies as well as low-lying singlet excited state ones have been obtained展开更多
文摘This paper presents the Solution to the “Three-body Problem” in the Light of the Maximum Ordinality Principle. In the first part, however, it starts with the Solution to the Solar System, made up of “11 Bodies”. This is because, in such a context, the “Three-body Problem” can be analyzed in its all descriptive possibilities. Nonetheless, the paper also presents the Solution to the “Three-body Problem” with reference to Systems totally independent from the Solar System, such as, for example, the “Triple Stars” and the “Triple Galaxies”. In this way, the paper offers a sufficiently complete framework concerning the Solution to the “Three-body Problem”, always in the Light of the Maximum Ordinality Principle, described in detail in Appendix A.
基金supported in part by the National Key Research and Development Program of China Grant No.2018YFA0306502NSAF(Grant No.U1930201)+1 种基金supported by the Fundamental Research Funds for the Central Universitiesthe Research Funds of Renmin University of China under Grant No.21XNH088。
文摘We calculate the energy spectrum of three identical fermionic ultracold atoms in two different internal states confined in a two-dimensional anisotropic harmonic trap.Using the solutions of the corresponding two-body problems obtained in our previous work(Chen et al 2020 Phys.Rev.A 101,053624),we derive the explicit transcendental equation for the eigen-energies,from which the energy spectrum is derived.Our results can be used for the calculation of the 3rd Virial coefficients or the studies of few-body dynamics.
基金Supported by National Natural Science Foundation of China(Grant No.11535004,11761161001,11375086,11120101005,11175085and 11235001)the National Major State Basic Research and Development of China,Grant No.2016YFE0129300the Science and Technology Development Fund of Macao under Grant No.068/2011/A
文摘We investigate low-lying bound states of the neutron-rich nucleus ^15B by assuming it is a three-body system made of an inert core 13 B and two valence neutrons. The three-body wave functions are obtained using the Faddeev formalism. Special attention is paid to the excited state at 3.48（6） MeV observed in the 13 C（14 C,12 N）15 B reaction, whose properties are less clear theoretically. In our three-body model, besides the ground state 3/21, a second 3/22^-state is discovered at around 3.61 MeV, which might be identified with the excited state observed at3.48（6） MeV. We study this 3/22^-state in detail. It turns out to be a two-neutron halo state with a large matter radius rm≈4.770 fm. ＆nbsp
基金Supported by the DFG(TR110)and the NSFC(11621131001)funds provided to the Sino-German CRC 110 "Symmetries and the Emergence of Structure in QCD"+1 种基金supported by the Chinese Academy of Sciences(CAS)President’s International Fellowship Initiative(PIFI)(2018DM0034)VolkswagenStiftung(93562)
文摘Abstract:The number of exotic candidates that are beyond the conventional quark model has increased dramatically over recent decades.Some of these can be viewed as analogues of the deuteron.Similarly,the existence of the triton indicates that bound states formed by three hadrons could also exist.To illustrate this possibility,we study the DD~*K and ■ systems using the Born-Oppenheimer approximation.To leading order,only one-pion exchange potentials are considered.This means that the three constituents share one virtual pion.This is similar to the role of the delocalizedπbond for the formation of benzene in chemistry.After solving the Schr?dinger equation,we find two three-body DD~*K and ■bound states with masses4317.92_(-4.32)^(+3.66)Me V and 11013.65_(-8.84)^(+8.49)Me V,respectively.The masses of their■and■ analogues are 4317.92~_(-6.55)(+6.13)Me V and 11013.65_(-9.02)^(+8.68)Me V,respectively.From the experimental side,the ■bound state could be found by analyzing the current world data on the B→J/ψππKprocess,by focusing on the J/ψπK channel.
基金Supported by National Natural Science Foundation of China(10735010,10975072,11035001,11120101005)973 National Major State Basic Research and Development of China(2007CB815004,2010CB327803)+2 种基金CAS Knowledge Innovation Project (KJCX2-SW-N02)Research Fund of Doctoral Point(20100091110028)Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions(PAPD)
文摘The application of the diffusion Monte Carlo algorithm in three-body systems is studied. We develop a program and use it to cMculate the property of various three-body systems. Regular Coulomb systems such as atoms, molecules, and ions are investigated. The calculation is then extended to exotic systems where electrons are replaced by muons. Some nuclei with neutron halos are also calculated as three- body systems consisting of a core and two external nucleons. Our results agree well with experiments and others＇ work.
基金Project supported hy the National Natural Science Foundation of Chinathe Science Foundation for Youth of Shandong University
文摘A complete potential harmonic scheme is presented,including the linked coupled hyperradial ordi nary differential equations and the secular equation of eigencnergy It has been used to directly solve the Scchrodinger equations of helium-like three-body systems (nuclear charge Z=1-9),and very accurate ground state eigonenergies as well as low-lying singlet excited state ones have been obtained
基金National Natural Science Foundation of China(10535010,10735010 ,10775068)Major State Basic Research and Development Programof China(973 Program)(2007CB815004)+1 种基金Knowledge Innvation Project of Chinese Academy of Sciences(KJCX2-SW-No2)Doctoral Fund of Ministry of Education of China(RFDP 20070284016)~~
