Rotational-vibrational coupling in the BPS Skyrme model of baryons

TL;DR

This paper computes the rotational-vibrational spectrum of the BPS Skyrme model for baryons, showing improved excitation energy predictions that support the model's relevance for describing baryon properties.

Contribution

It demonstrates that the BPS Skyrme model yields excitation energies closer to experimental data than the standard Skyrme model, highlighting its importance for baryon physics.

Findings

Excitation energies are slightly above experimental values.

BPS Skyrme model improves upon standard Skyrme model predictions.

Supports the need for BPS Skyrme model in baryon description.

Abstract

We calculate the rotational-vibrational spectrum in the BPS Skyrme model for the hedgehog skyrmion with baryon number one. The resulting excitation energies for the nucleon and delta Roper resonances are slightly above their experimental values. Together with the fact that in the standard Skyrme model these excitation energies are significantly lower than the experimental ones, this provides strong evidence for the conjecture that the inclusion of the BPS Skyrme model is necessary for a successful quantitative description of physical properties of baryons and nuclei.