English

Need for the intensity-dependent pion-nucleon coupling in multipion production processes

High Energy Physics - Phenomenology 2007-05-23 v1 Nuclear Theory

Abstract

We give reasons in support of the use of an effective intensity-dependent pion-nucleon coupling Hamiltonian for describing the properties of the pion multiplicity distribution and the corresponding factorial moments within the thermal-density matrix approach.We explain the appearance of the negative-binomial (NB) distribution for pions and the well-known empi- rical relation of Wroblewski.Our model Hamiltonian is written as a linear combination of the generators of the SU(1,1) group.We find the generating function for the pion multiplicity distribution at finite temperature T and discuss the properties of the second-order factorial moment.Also, we show that an intensity-dependent pion-nucleon coupling generates the squeezed states of the pion field. At T=0, these squeezed states become an inherent property of the NB distribution.

Keywords

Cite

@article{arxiv.hep-ph/9511328,
  title  = {Need for the intensity-dependent pion-nucleon coupling in multipion production processes},
  author = {M. Martinis and V. Mikuta-Martinis},
  journal= {arXiv preprint arXiv:hep-ph/9511328},
  year   = {2007}
}

Comments

18 pages, no figures, latex

R2 v1 2026-07-22T14:28:27.945Z