Finite size effects in isobaric ratios

TL;DR

This paper investigates how finite size effects influence isobaric ratios in nuclear reactions using statistical ensembles, highlighting challenges in extracting accurate parameters from experimental data.

Contribution

It analyzes finite size effects on isobaric ratios within canonical and grand-canonical ensembles, emphasizing limitations in data fitting for nuclear collision analysis.

Findings

Finite size effects complicate the extraction of liquid drop parameters.

Grand-canonical formulas relate ratios to nuclear properties but are affected by finite sizes.

Finite size considerations are crucial for accurate interpretation of nuclear collision data.

Abstract

The properties of isobaric ratios, between nuclei produced in the same reaction, are investigated using the canonical and grand-canonical statistical ensembles. Although the grand-canonical for- mulae furnish a means to correlate the ratios with the liquid drop parameters, finite size effects make it difficult to obtain their actual values from fitting nuclear collision data.