Skyrme model study of proton and neutron properties in a strong magnetic field

Abstract

The proton and neutron properties in a uniform magnetic field are investigated. The Gell-Mann-Nishijima formula is shown to be satisfied for baryon states. It is found that with increasing magnetic field strength, the proton mass first decreases and then increases, while the neutron mass always increases. The ratio between magnetic moment of proton and neutron increases with the increase of the magnetic field strength. With increasing magnetic field strength, the size of proton first increases and then decreases, while the size of neutron always decreases. The present analyse implies that in the core part of the magnetar, the equation of state depend on the magnetic field, which modifies the mass limit of the magnetar.

arXiv comment5 pages, 6 figures

References in corpus (15)

• Estimate of the magnetic field strength in heavy-ion collisions
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• A Skyrme-type proposal for baryonic matter
• Skyrmions with low binding energies
• Spinning Skyrmions and the Skyrme Parameters
• Vibrational quantisation of the B=7 Skyrmion
• Homotopy of Rational Maps and the Quantization of Skyrmions
• Static solutions in the U(1) gauged Skyrme model
• Loosening up the Skyrme model
• Scattering of Nucleons in the Classical Skyrme Model
• Modifying the pion mass in the loosely bound Skyrme model
• Electromagnetic Transition Strengths for Light Nuclei in the Skyrme model
• The Skyrmion Model and the Dynamical Breakdown of Chiral Symmetry
• The nucleon-nucleon interaction and properties of the nucleon in a $\pi \rho \omega$ soliton model including a dilaton field with anomalous dimension
• Effects of scalar mesons in a Skyrme model with hidden local symmetry

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