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Intensity-dependent pion-nucleon coupling in multipion production processes

M. Martinis·V. Mikuta-Martinis
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Abstract

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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M. Martinis, V. Mikuta-Martinis. 1999-01-13. Intensity-dependent pion-nucleon coupling in multipion production processes. https://arxiv.org/abs/nucl-th/9901031

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