Magnetic enhancement of baryon confinement modeled via a deformed Skyrmion

Abstract

We discuss the baryon properties under a strong magnetic field. We adopt the Skyrme model and calculate the magnetic field dependence of the mass and the pressure distribution in the soliton. We elucidate a magnetically induced contribution to the pressure sum rule and interpret it as an extra confining force. We also quantize the soliton to estimate the difference between the proton and the neutron and find a simple relation between the pressure and the mass differences.

15 pages, 4 figures

References in corpus (3)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Anomaly-Induced Inhomogeneous Phase in Quark Matter without the Sign Problem
• Skyrme model study of proton and neutron properties in a strong magnetic field

Cited by in corpus (6)

• Phase diagram of QCD matter with magnetic field: domain-wall Skyrmion chain in chiral soliton lattice
• Spin Statistics and Surgeries of Topological Solitons in QCD Matter in Magnetic Field
• A Journey of Seeking Pressure and Forces in the Nucleon
• Solitonic ground state in supersymmetric theory in background
• Structure of heavy quarkonia in a strong magnetic field
• Holographic QCD Matter: Chiral Soliton Lattices in Strong Magnetic Field