Multipion Symmetrization Effects on the Source Distribution

Multipion Bose-Einstein(BE) correlations has now aroused great interests among physicists 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22. Among others, Lam and Lo2 were the first to suggest BASER concept in high energy physics. Zajc 3 was the first to use Monte-Carlo methods to study multipion BE correlations effects on two-pion interferometry for fixed pion multiplicity event. Pratt 4 first suggested that multipion BE symmetrization effects may lead to BE condensate in high energy heavy-ion collisions. Detail derivation of multipion BE correlation effects on single particle spectrum and two-pion interferometry was given by Chao, Gao and I in Ref. 5. Recently Zimányi and Csörgő suggested a new class density matrix and study multipion BE correlations and wavepacket effects on two-pion interferometry 7,8. In Ref. 10, I have derived any-order pion interferometry formula for a special class density matrix. In Ref. 11, generalized any-order pion interferometry formulas are given which depends not only on the correlator as assumed previously but also on the pion multiplicity distribution which was neglected in the previous studies. Multipion BE correlation effects on the source distribution was studied in Ref. 21. This paper is arranged as follows: In section 2, any-order pion interferometry formula for fixed pion multiplicity event are given. In section 3, any-order pion interferometry formula for mixed events are derived. In section 4, methods on multipion BE correlation simulation are discussed. Conclusions are given in section five.