Towards reliable calculations of the correlation function

Details Towards reliable calculations of the correlation function Towards reliable calculations of the correlation function

2007-02-02

arxiv.org/abs/nucl-th/0702011v1

Int.J.Mod.Phys.E16:3244-3261,2007

Physics

Nuclear Physics

Nuclear Theory

18 pages, presented at XIth International Workshop on Correlation and Fluctuation in Multiparticle Production, Hangzhou, China

Scientific paper

10.1142/S0218301307009221

The correlation function of two identical pions interacting via Coulomb potential is computed for a general case of anisotropic particle's source of finite life time. The effect of halo is taken into account as an additional particle's source of large spatial extension. Due to the Coulomb interaction, the effect of halo is not limited to very small relative momenta but it influences the correlation function in a relatively large domain. The relativistic effects are discussed in detail and it is argued that the calculations have to be performed in the center-of-mass frame of particle's pair where the (nonrelativistic) wave function of particle's relative motion is meaningful. The Bowler-Sinyukov procedure to remove the Coulomb interaction is tested and it is shown to significantly underestimate the source's life time.

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