Multibaryons in the Skyrme model

TL;DR

This paper investigates low-lying multibaryon states within the SU(3) Skyrme model using symmetry-based approximations, calculating spectra and stability of certain configurations with strangeness.

Contribution

It introduces a symmetry-based approximation method for multibaryon configurations in the Skyrme model, enabling spectrum calculations for B ≤ 9 and strangeness levels.

Findings

Computed low-lying spectra for multibaryons with B ≤ 9

Analyzed stability of multilambda configurations

Provided approximate expressions valid for exact solutions

Abstract

Low-lying multibaryon configurations are studied within the bound state approach to the SU(3) Skyrme model. We use approximate ansaetze for the static background fields based on rational maps which have the same symmetries of the exact solutions. To determine the explicit form of the collective Hamiltonians and wave functions we only make use of these symmetries. Thus, the expressions obtained are also valid in the exact case. On the other hand, the meson bindings, inertia parameters and hyperfine splitting constants we calculate do depend on the detailed form of the ansaetze and are, therefore, approximate. Using these values we compute the low-lying spectra of multibaryons with B =< 9 and strangeness 0 and -B. With these results the stability of some multilambda configurations is discussed.