Effect of Coulomb energy on Skyrmions

Abstract

The Coulomb effect, an essential ingredient in nuclear systems, is quantitatively investigated for certain Skyrmions within the Skyrme model. To do this we calculate the Coulomb energy from numerically generated multi-Skyrmions and, simultaneously, introduce an effective alpha-like particle approximation for large Skyrmions with baryon number $B$, where $B$ is a multiple of four. The calculated Coulomb energies and the corresponding fitted curve from this approximation match well with the results from the numerical method, as well as the behavior of the Coulomb energy in the semi-empirical mass formula. The Skyrme model correctly reproduces the well known results for the Coulomb energy of nuclei. This suggests that the alpha-particles can be used as the fundamental degrees of freedom in the Skyrme model. The Coulomb effect on the binding energy of the Skyrmions increases with baryon number but has a small effect overall. However, the effect could be significantly more pronounced for loosely bound Skyrme models.

References in corpus (26)

• Ab initio calculation of the Hoyle state
• Evidence for Triangular D_3h Symmetry in 12C
• Three-Quark Potential in SU(3) Lattice QCD
• A Skyrme-type proposal for baryonic matter
• Symmetric Skyrmions
• Ab initio calculation of the spectrum and structure of ${}^{16}$O
• Nonlocalized Clustering: A New Concept in Nuclear Cluster Structure Physics
• Evidence for tetrahedral symmetry in 16O
• Nuclear binding near a quantum phase transition
• Skyrmions with low binding energies
• Skyrmions and the alpha-particle model of nuclei
• Light Nuclei of Even Mass Number in the Skyrme Model
• Skyrmions with massive pions
• Skyrmions and the pion mass
• Solitonic fullerene structures in light atomic nuclei
• Light Nuclei as Quantized Skyrmions
• A dynamical $\alpha$-cluster model of ${}^{16}$O
• Skyrmions and clustering in light nuclei
• Skyrmions up to Baryon Number 108
• States of Carbon-12 in the Skyrme Model
• Near-BPS Skyrmions: Non-shell configurations and Coulomb effects
• Extraction of the symmetry energy coefficients from the masses differences of isobaric nuclei
• Generalized Skyrme model with the loosely bound potential
• Exploring the generalized loosely bound Skyrme model
• The $B=5$ Skyrmion as a two-cluster system
• Repulsive Four-Body Interactions of $\alpha$ Particles and Quasi-Stable Nuclear $\alpha$-Particle Condensates in Heavy Self-Conjugate Nuclei

Cited by in corpus (5)

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• Skyrmion crystals stabilized by $\omega$-mesons
• Backreacted Coulomb energy in the Skyrme model