Magnetic moments of decuplet baryons in asymmetric magnetized nuclear matter

Abstract

Understanding the novel QCD phenomenon under high external magnetic fields of hot and dense medium help us to develop a better understanding of the underlying quark dynamics of baryons. Using a hybrid approach based on the effective field theory that treats quarks as the fundamental degrees of freedom and calculating the individual contribution of valence, sea and orbital angular moment of sea quark, the magnetic moment of a given baryon of the decuplet family is calculated. The incorporation of Landau quantization in the vector and scalar densities of baryons help us to obtain the impact of external magnetic field on the properties of baryons within the chiral SU(3) quark mean field model (CQMF). In the present study, effective masses of the baryons are calculated using CQMF while the framework of chiral constituent quark model ($χ$CQM), extended to SU(4) sector, is used to obtain the effective magnetic moments of decuplet baryons under the influence of magnetic field.

Figures (12)

• Figure 1: Effective masses of the quarks ($m_u^*, \, m_d^*$ and $m_s^*$) for isospin asymmetries $I_a=0$ [subplots (a), (c) and (e)] and $0.5$ [subplots (b), (d) and (f)], at temperatures $T=100,\,150$ MeV and baryon densities $\rho_B\,=\,0,\,\rho_0$ and $2\,\rho_0$ are shown as a function of magnetic field.
• Figure 2: Mass variation of $\Delta^+$, $\Sigma^{*+}$ and $\Xi^{*0}$ is shown for isospin asymmetries $I_a\,=\,0$ [subplots (a),(c) and (e)] and 0.5 [subplots (b),(d) and (f)] at temperatures T = 100 and 150 MeV and baryon densities $\rho_B\,=\,0,\,\rho_0$ and $2\,\rho_0$ as a function of $eB/m_\pi^2$.
• Figure 3: The individual magnetic moment contributions from valence, sea and orbital moment of sea quarks to the total magnetic moment of $\Delta^{++}$ for $I_a = 0$ (left hand panel) and $I_a = 0.5$ (right hand panel) shown as a function of magnetic field from 0 to 10 $eB/m_\pi^2$ at baryonic densities $\rho_B \,=\,0,\,\rho_0$ and $2\,\rho_0$.
• Figure 4: The individual magnetic moment contributions from valence, sea and orbital moment of sea quarks to the total magnetic moment of $\Delta^+$ for $I_a = 0$ (left hand panel) and $I_a = 0.5$ (right hand panel) shown as a function of magnetic field from 0 to 10 $eB/m_\pi^2$ and baryonic densities $\rho_B \,=\,0,\,\rho_0$ and $2\,\rho_0$.
• Figure 5: The individual magnetic moment contributions from valence, sea and orbital moment of sea quarks to the total magnetic moment of $\Delta^0$ for $I_a = 0$ (left hand panel) and $I_a = 0.5$ (right hand panel) shown as a function of magnetic field from 0 to 10 $eB/m_\pi^2$ and baryonic densities $\rho_B \,=\,0,\,\rho_0$ and $2\,\rho_0$.