Effect of particle fluctuation on isoscaling and isobaric yield ratio of nuclear multifragmentation

TL;DR

This paper compares isoscaling and isobaric yield ratio parameters in nuclear multifragmentation using canonical and grand canonical models, highlighting how results converge with increased fragmentation and source independence.

Contribution

It provides a detailed comparison of canonical and grand canonical ensemble predictions for nuclear multifragmentation observables.

Findings

Results from both ensembles converge with increased fragmentation

Canonical and grand canonical results become similar for larger nuclei

Observables depend on source and isospin in specific ways

Abstract

Isoscaling and isobaric yield ratio parameters are compared from canonical and grand canonical ensembles when applied to multifragmentation of finite nuclei. Source dependence of isoscaling parameters and source and isospin dependence of isobaric yield ratio parameters are examined in the framework of the canonical and the grand canonical models. It is found that as the nucleus fragments more, results from both the ensembles converge and observables calculated from the canonical ensemble coincide more with those obtained from the formulae derived using the grand canonical ensemble.