On the robustness of solitons crystals in the Skyrme model

Abstract

In this work we analize how the inclusion of extra mesonic degrees of freedom affect the finite density solitons crystals of the Skyrme model. In particular, the first analytic examples of hadronic crystals at finite baryon density in both the Skyrme $\omega$-mesons model as well as for the Skyrme $\rho$-mesons theory are constructed. These configurations have arbitrary topological charge and describe crystals of baryonic tubes surrounded by a cloud of vector-mesons. In the $\omega$-mesons case, it is possible to reduce consistently the complete set of seven coupled non-linear field equations to just two integrable differential equations; one ODE for the Skyrmion profile and one PDE for the $\omega$-mesons field. This analytical construction allows to show explicitly how the inclusion of $\omega$-mesons in the Skyrme model reduces the repulsive interaction energy between baryons. In the Skyrme $\rho$-mesons case, it is possible to construct analytical solutions using a meron-type ansatz and fixing one of the couplings of the $\rho$-mesons action in terms of the others. We show that, quite remarkably, the values obtained for the coupling constants by requiring the consistency of our ansatz are very close to the values used in the literature to reduce nuclei binding energies of the Skyrme model without vector-mesons. Moreover, our analytical results are in qualitative agreement with the available results on the nuclear spaghetti phase.

28 pages, 8 figures. Accepted for publication in Nuclear Physics B

References in corpus (18)

• Disordered nuclear pasta, magnetic field decay, and crust cooling in neutron stars
• Integrability and chemical potential in the (3+1)-dimensional Skyrme model
• Elastic properties of phases with nonspherical nuclei in dense matter
• Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density
• Analytic crystals of solitons in the four dimensional gauged non-linear sigma model
• Fast neutrino cooling of nuclear pasta in neutron stars: molecular dynamics simulations
• Pion crystals hosting topologically stable baryons
• Analytic Studies of Static and Transport Properties of (Gauged) Skyrmions
• Baby Skyrmions stabilized by vector mesons
• Gravitating superconducting solitons in the (3+1)-dimensional Einstein gauged non-linear sigma-model
• Skyrmions in the presence of isospin chemical potential
• Skyrme Strings
• Crystals of gauged solitons, force free plasma and resurgence
• Exact \textit{pp}-waves, (A)dS waves and Kundt spaces in the Abelian-Higgs model
• Meronic AdS Black Holes in Gauss-Bonnet Theory
• Analytic non-homogeneous condensates in the $(2+1)$-dimensional Yang-Mills-Higgs-Chern-Simons theory at finite density
• Analytic Baby Skyrmions at Finite Density
• Gravitating Meron-like topological solitons in massive Yang-Mills theory and the Einstein-Skyrme model

Cited by in corpus (1)

• Compressibility of dense nuclear matter in the $\rho$-meson variant of the Skyrme model