Skyrmion vibrational energies with a generalized mass term

TL;DR

This paper investigates a generalized mass term in the Skyrme model, analyzing its effects on axially symmetric solutions, vibrational modes, and binding energies, suggesting improvements over traditional mass terms in modeling baryonic matter.

Contribution

It introduces and studies a one-parameter mass term in the Skyrme model, providing new insights into vibrational energies and binding behaviors with numerical solutions.

Findings

Asymptotic behaviors of B=2 binding energies differ from previous models.

Identification of three distinct vibrational modes as eigenstates.

The generalized mass term offers a better description of baryonic matter.

Abstract

We study various properties of a one parameter mass term for the Skyrme model, originating from the works of Kopeliovich, Piette and Zakrzewski, through the use of axially symmetric solutions obtained numerically by simulated-annealing. These solutions allow us to observe asymptotic behaviors of the B=2 binding energies that differ to those previously obtained. We also decipher the characteristics of three distinct vibrational modes that appear as eigenstates of the vibrational Hamiltonian. This analysis further examine the assertion that the one parameter mass term offers a better account of baryonic matter than the traditional mass term.