Mass splittings of the baryon decuplet and antidecuplet with the second-order flavor symmetry breakings within a chiral soliton model

TL;DR

This paper improves baryon mass predictions by incorporating second-order flavor symmetry breaking effects in a chiral soliton model, aligning well with experimental data and refining previous first-order estimates.

Contribution

It introduces second-order flavor symmetry breaking corrections into baryon mass calculations within a chiral soliton framework, enhancing accuracy over prior first-order approaches.

Findings

Mass splittings of SU(3) baryons are improved with second-order corrections.

The antidecuplet N* mass is predicted as 1687 MeV, matching recent experiments.

The pion-nucleon sigma term is estimated at approximately 50.5 MeV.

Abstract

We revisit the mass splittings of SU(3) baryons, taking into account the second-order effects of isospin and SU(3) flavor symmetry breakings within the framework of a chiral soliton model. The masses of the baryon decuplet turn out to be improved, compared to those with the first-order corrections. The mass of the N^* as a member of the baryon antidecuplet is obtained as M_{n^*}=1687 MeV, which is in agreement with the recent experimental data. The pion-nucleon sigma term becomes \Sigma_{\pi N}=(50.5\pm 5.4) MeV.