Intensity-dependent pion-nucleon coupling in multipion production processes

Details Intensity-dependent pion-nucleon coupling in multipion production processes Intensity-dependent pion-nucleon coupling in multipion production processes

1999-01-13

arxiv.org/abs/nucl-th/9901031v1

Fizika B5 (1996) 269-280

Physics

Nuclear Physics

Nuclear Theory

16 pages, no pictures, latex

Scientific paper

We propose an intensity-dependent pion-nucleon coupling Hamiltonian within a unitary multiparticle-production model of the Auerbach- Avin-Blankenbecler-Sugar (AABS) type in which the pion field is represented by the thermal-density matrix.Using this Hamiltonian, we explain the appearance of the negative-binomial (NB) distribution for pions and the well-known empirical relation, the so-called Wr\' oblewski relation, in which the dispersion $D$ of the pion- multiplicity distribution is linearly related to the average multiplicity $$ : $D = A + B$, with the coefficient $A < 1$. The Hamiltonian of our model is expressed linearly in terms of the generators of the $SU(1,1)$ group.We also find the generating function for the pion field, which reduces to the generating function of the NB distribution limit $T \to 0$.

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