Kinetic approach to a relativistic BEC with inelastic processes
Abstract
The phenomenon of Bose-Einstein condensation is investigated in the context of the color-glass-condensate description of the initial state of ultrarelativistic heavy-ion collisions. For the first time, in this paper, we study the influence of particle-number changing 2 ↔3 processes on the transient formation of a Bose-Einstein condensate within an isotropic system of scalar bosons by including 2 ↔3 interactions of massive bosons with constant and isotropic cross sections, following a Boltzmann equation. The one-particle distribution function is decomposed in a condensate part and a nonzero momentum part of excited modes, leading to coupled integro-differential equations for the time evolution of the condensate and phase-space distribution function, which are then solved numerically. Our simulations converge to the expected equilibrium state, and only for σ23/σ22≪1 , we find that a Bose-Einstein condensate emerges and decays within a finite lifetime in contrast to the case where only binary scattering processes are taken into account, and the condensate is stable due to particle-number conservation. Our calculations demonstrate that Bose-Einstein condensates in the very early stage of heavy-ion collisions are highly unlikely, if inelastic collisions are significantly participating in the dynamical gluonic evolution.
- Publication:
-
Physical Review D
- Pub Date:
- November 2019
- DOI:
- 10.1103/PhysRevD.100.091501
- arXiv:
- arXiv:1906.12111
- Bibcode:
- 2019PhRvD.100i1501L
- Keywords:
-
- High Energy Physics - Phenomenology;
- Nuclear Theory
- E-Print:
- 6 pages, 4 figures