Multiskyrmions and baryonic bags

Abstract

Analytical treatment of skyrmions given by rational map (RM ) ansaetze proposed recently for the Skyrme model is extended for the model including the 6-th order term in chiral field derivatives in the lagrangian and used for the calculations of different properties of multiskyrmions. At large baryon numbers the approximate solutions obtained are similar to the domain wall, or to spherical bubbles with energy and baryon number density concentrated at their boundary. Rigorous upper bound is obtained for the masses of RM multiskyrmions which is close to the known masses, especially at large B. For the 6-th order variant the lower bound for masses of RM skyrmions is obtained as well. The main properties of the bubbles of matter are obtained for arbitrary number of flavours. They are qualitatively the same for the 4-th and 6-th order terms present in the lagrangian, although differ in some details.

Skyrmion stars and the multilayered rational map ansatz

“…This ramp profile approximation replaces the profile functions by those which are piecewise linear, an idea first used in [15,16]. It was shown that this approximation is in good agreement with the rational map ansatz solutions, and by using it, solutions with a very high number of baryons existing as N thin shells of small thickness stacked together can be produced numerically.…”

Towards Skyrmion stars: Large baryon configurations in the Einstein-Skyrme model

“…This is inspired by the work of Kopeliovich [13] [14] except that our ansatz has to be piecewise linear to be able to generate configurations with a huge number of layers. After defining the ansatz for an arbitrary number of layers, we will show that for a single layer configuration the ansatz produces configurations that are in good agreements with the rational map ansatz configuration.…”

Hexaquarks in the coupled-channel formalism

“…There were number of theoretical predictions by using various models [3], the quark cluster model [10], the quark-delocation model [11,12], the chiral SU(3) quark model [13], the flavor SU(3) skyrmion model [14]. Lomon predicted a deuteron-like dibaryon resonance using R-matrix theory [15].…”