Nucleon and $\Delta$ isobar in a strong magnetic field

Abstract

We investigate the static properties of the nucleon in the presence of strong magnetic fields and discuss the consequent changes of the nucleon structure, based on the Skyrme model. The results show that at large values of the magnetic field ($\sim 10^{17}$ to $10^{18}\mathrm{G}$), which is supposed to appear in heavy-ion collision experiments at RHIC energies, the soliton starts to deviate from the spherically symmetric form and its size starts to change. At extremely large values of the magnetic field ($\sim 10^{19}$ G), which may be found at the LHC experiments, the soliton becomes more compact than in free space. The results also show that in the presence of the external magnetic field, the mass of the nucleon tends to increase in general and the mass degeneracy of the $\Delta$ isobars from isospin symmetry will be lifted. We also discuss the changes in the mass difference between the $\Delta$ and the nucleon, $\Delta m_{\Delta \mathrm{N}}$, due to the influence of the external magnetic field. We find that $\Delta m_{\Delta \mathrm{N}}$ increases as the strength of the magnetic field grows.

arXiv comment11 pages, 5 figures. Typos were removed and more discussions were included

References in corpus (39)

• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Estimate of the magnetic field strength in heavy-ion collisions
• Magnetars
• Origin and Propagation of Extremely High Energy Cosmic Rays
• Electromagnetic field evolution in relativistic heavy-ion collisions
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Primordial Nucleosynthesis for the New Cosmology: Determining Uncertainties and Examining Concordance
• Magnetars: Properties, Origin and Evolution
• Primordial Nucleosynthesis: Successes And Challenges
• Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions
• Charged vector mesons in a strong magnetic field
• Charmonia and Bottomonia in a Magnetic Field
• ${\pi }_0$ pole mass calculation in a strong magnetic field and lattice constraints
• Magnetic polarizabilities of light mesons in $SU(3)$ lattice gauge theory
• Heavy quarkonia in strong magnetic fields
• Electric Fields and Chiral Magnetic Effect in Cu + Au Collisions
• D mesons in a magnetic field
• Energy-momentum tensor form factors of the nucleon in nuclear matter
• Heavy quarkonium production in a strong magnetic field
• Neutral meson properties in hot and magnetized quark matter: a new magnetic field independent regularization scheme applied to NJL-type model
• Magnetic effects in heavy-ion collisions at intermediate energies
• Neutral and charged (pseduo)scalar mesons and diquarks under magnetic fields
• Modification of the B Meson Mass in a Magnetic Field from QCD Sum Rules
• Charged pion masses under strong magnetic fields in the NJL model
• Hadron Masses in Strong Magnetic Fields
• The Evolution of Meson Masses in a Strong Magnetic Field
• In-medium modified energy-momentum tensor form factors of the nucleon within the framework of a $\pi$-$\rho$-$\omega$ soliton model
• Anisotropy in the equation of state of strongly magnetized quark matter within the Nambu--Jona-Lasinio Model
• Cigar-shaped quarkonia under strong magnetic field
• Electromagnetic fields in small systems from a multiphase transport model
• Neutron in Strong Magnetic Fields
• The off-shell electromagnetic form factors of pions and kaons in chiral perturbation theory
• Neutron-proton mass difference in finite nuclei and the Nolen-Schiffer anomaly
• Hadronic Paschen-Back effect
• Nucleon deformation in finite nuclei
• Modification of generalized vector form factors and transverse charge densities of the nucleon in nuclear matter
• In-medium modified $\pi$-$\rho$-$\omega$ mesonic Lagrangian and properties of nuclear matter
• Transverse charge densities in the nucleon in nuclear matter
• Neutron-Proton Mass Difference in Nuclear Matter and in Finite Nuclei and the Nolen-Schiffer Anomaly

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