Study of negative binomial distribution in neutrino and anti-neutrino-nucleus interactions of CHORUS experiment

In this study, the charged particle multiplicity distribution produced in anti-neutrino and neutrino-nuclear emulsion interactions is studied in terms of negative binomial distribution in varying invariant mass of the hadronic system intervals for the first time. Many articles have shown that the negative binomial distribution is very useful in describing and interpreting the multiplicity of experimental data in the literature. For this reason, a similar study is conducted on neutrino and anti-neutrino interactions to better understand the particle production mechanism. Experimental data for the analysis are obtained from the CHORUS Collaboration paper on the production of charged particles in anti-neutrino and neutrino-nuclear emulsion interactions at high energy. For multiplicity distributions of both interactions, the invariant mass of the hadronic system intervals is defined as given in the CHORUS Collaboration article. Then the negative binomial fit is applied to the experimental data for each energy range. In terms of chi-square values for both interactions, a good agreement has been observed between the experimental data and their fit in each energy range. The results of applied fits are shown through figures and tables, presenting the obtained chi-square values, free parameters, and their energy dependence.