Quantum statistical correlations and single-particle distributions for slowly expanding systems with temperature profile

Abstract

Competition among particle evaporation, temperature gradient and flow is investigated in a phenomenological manner, based on a simultaneous analysis of quantum statistical correlations and momentum distributions for a non-relativistic, spherically symmetric, three-dimensionally expanding, finite source. The parameters of the model emission function are constrained by fits to neutron and proton momentum distributions and correlation functions in intermediate energy heavy-ion collisions. The temperature gradient is related to the momentum dependence of the radius parameters of the two-particle correlation function, as well as to the momentum-dependent temperature parameter of the single particle spectrum, while a long duration of particle evaporation is found to be responsible for the low relative momentum behavior of the two-particle correlations.

Hydrodynamic approaches in relativistic heavy ion reactions

“…The method based on self-similar flow initially introduced to find solutions for non-relativistic cases known as Buda-Lund approach [170,[425][426][427][428][429][430][431][432][433][434] has shown to be very powerful in studying the flow dynamics of non-relativistic hydrodynamics. Recently this approach was extended to include (rigid) rotation, and explicit solutions with rotation were found [435,436].…”

Simple analytic solution of fireball hydrodynamics

“…[4] where it was shown that temperature gradient effects can indeed lead to effects similar to i) -iii). In ref.…”

“…In ref. [4], the distributions of the hydrodynamical fields were parameterized, but the equations of hydrodynamics were not solved. It was shown that a temperature profile results in momentum dependence of the effective radius parameters of the proton-proton correlation functions and in a characteristic bending down of the proton spectra, observable as a deviation from the exponential spectrum [5].…”

“…Such a solution of the equations of non-relativistic (NR) hydrodynamics is presented herewith. Physical realization of the solution is possible both by heavy ion collisions in the 30 MeV A -2 GeV A energy domain [3,4,5] and in a more limited sense by the NR transversal flows that seem to develop in high energy hadron-hadron and nucleus-nucleus collisions [1,6,7].…”

New analytic solutions of the non-relativistic hydrodynamical equations

“…due to radiation). We hope that the results presented herewith may be utilized to access analytically the time-evolution of the hydrodynamically behaving strongly interacting matter as probed by non-relativistic heavy ion collisions [4,5]. The results are, however, rather general in nature and they can be applied to any physical phenomena where the non-relativistic hydrodynamical description is valid.…”