In order to maintain momentum conservation in collisions which undergo Lorentz transformation Einstein had to modify the Newtonian definition of momentum to relativistic domains. This resulted in his famous mass-energ...In order to maintain momentum conservation in collisions which undergo Lorentz transformation Einstein had to modify the Newtonian definition of momentum to relativistic domains. This resulted in his famous mass-energy equivalence relation E=mc2. We suggest here that Lorentz invariance offers a more general form of relativistic momentum which would give a more general expression for kinetic and total energy. We further suggest methods to test the validity of this generalized relativistic mechanics.展开更多
Generic axiomatic-nonextensive statistics introduces two asymptotic properties,to each of which a scaling function is assigned.The first and second scaling properties are characterized by the exponents c and d,respect...Generic axiomatic-nonextensive statistics introduces two asymptotic properties,to each of which a scaling function is assigned.The first and second scaling properties are characterized by the exponents c and d,respectively.In the thermodynamic limit,a grand-canonical ensemble can be formulated.The thermodynamic properties of a relativistic ideal gas of hadron resonances are studied,analytically.It is found that this generic statistics satisfies the requirements of the equilibrium thermodynamics.Essential aspects of the thermodynamic self-consistency are clarified.Analytical expressions are proposed for the statistical fits of various transverse momentum distributions measured in most-central collisions at different collision energies and colliding systems.Estimations for the freezeout temperature（T_（ch）） and the baryon chemical potential（μ_b） and the exponents c and d are determined.The earlier are found compatible with the parameters deduced from Boltzmann-Gibbs（BG） statistics（extensive）,while the latter refer to generic nonextensivities.The resulting equivalence class（c,d） is associated with stretched exponentials,where Lambert function reaches its asymptotic stability.In some measurements,the resulting nonextensive entropy is linearly composed on extensive entropies.Apart from power-scaling,the particle ratios and yields are excellent quantities to highlighting whether the particle production takes place（non）extensively.Various particle ratios and yields measured by the STAR experiment in central collisions at 200,62.4 and 7.7 GeV are fitted with this novel approach.We found that both c and d 〈 1,i.e.referring to neither BG-nor Tsallis-type statistics,but to（c,d）-entropy,where Lambert functions exponentially rise.The freezeout temperature and baryon chemical potential are found comparable with the ones deduced from BG statistics（extensive）.We conclude that the particle production at STAR energies is likely a nonextensive process but not necessarily BG or Tsallis type.展开更多
文摘In order to maintain momentum conservation in collisions which undergo Lorentz transformation Einstein had to modify the Newtonian definition of momentum to relativistic domains. This resulted in his famous mass-energy equivalence relation E=mc2. We suggest here that Lorentz invariance offers a more general form of relativistic momentum which would give a more general expression for kinetic and total energy. We further suggest methods to test the validity of this generalized relativistic mechanics.
文摘Generic axiomatic-nonextensive statistics introduces two asymptotic properties,to each of which a scaling function is assigned.The first and second scaling properties are characterized by the exponents c and d,respectively.In the thermodynamic limit,a grand-canonical ensemble can be formulated.The thermodynamic properties of a relativistic ideal gas of hadron resonances are studied,analytically.It is found that this generic statistics satisfies the requirements of the equilibrium thermodynamics.Essential aspects of the thermodynamic self-consistency are clarified.Analytical expressions are proposed for the statistical fits of various transverse momentum distributions measured in most-central collisions at different collision energies and colliding systems.Estimations for the freezeout temperature（T_（ch）） and the baryon chemical potential（μ_b） and the exponents c and d are determined.The earlier are found compatible with the parameters deduced from Boltzmann-Gibbs（BG） statistics（extensive）,while the latter refer to generic nonextensivities.The resulting equivalence class（c,d） is associated with stretched exponentials,where Lambert function reaches its asymptotic stability.In some measurements,the resulting nonextensive entropy is linearly composed on extensive entropies.Apart from power-scaling,the particle ratios and yields are excellent quantities to highlighting whether the particle production takes place（non）extensively.Various particle ratios and yields measured by the STAR experiment in central collisions at 200,62.4 and 7.7 GeV are fitted with this novel approach.We found that both c and d 〈 1,i.e.referring to neither BG-nor Tsallis-type statistics,but to（c,d）-entropy,where Lambert functions exponentially rise.The freezeout temperature and baryon chemical potential are found comparable with the ones deduced from BG statistics（extensive）.We conclude that the particle production at STAR energies is likely a nonextensive process but not necessarily BG or Tsallis type.
