Magnetic moments ofJP=32+decuplet baryons using effective quark masses in a chiral constituent quark model

Abstract

The magnetic moments of J P = 3 2 + decuplet baryons have been calculated in the chiral constituent quark model (χCQM) with explicit results for the contribution coming from the valence quark polarizations, sea quark polarizations, and their orbital angular momentum. Since the+ decuplet baryons have short lifetimes, the experimental information about them is limited. The χCQM has important implications for chiral symmetry breaking as well as SU (3) symmetry breaking since it works in the region between the QCD confinement scale and the chiral symmetry breaking scale. The predictions in the model not only give a satisfactory fit when compared with the experimental data but also show improvement over the other models. The effect of the confinement on quark masses has also been discussed in detail and the results of χCQM are found to improve further with the inclusion of effective quark masses.

In-medium masses and magnetic moments of decuplet baryons

“…The present results are very close to those obtained in Ref. [69], however, with the exceptions of µ * Σ * − and µ * Σ * 0 . The χCQM using constituent quark masses has been used to calculate vacuum magnetic moments of decuplet baryons in Ref.…”

“…To compare the vacuum magnetic moments of baryons calculated in the present work with the available literature we have given table III. As can be seen from this table, the results for vacuum magnetic moments of decuplet baryons in the present work are comparable to those obtained in other theoretical approaches, especially to those obtained through Large-N c approach in [84] and χCQM model approach used in [69]. The present results are very close to those obtained in Ref.…”

“…The χCQM using constituent quark masses has been used to calculate vacuum magnetic moments of decuplet baryons in Ref. [69] From tables I and II one can see that at zero as well as finite temperature, with the rise of baryonic density, the contributions from valence quarks and quark sea to the total effective magnetic moments of baryons increase. The exceptions are in case of ∆ − and Σ * − where the contribution from quark sea shows a decrease in magnitude with rise of density from ρ B = 0 to ρ 0 and then shows an increase from ρ 0 to 4ρ 0 .…”

Transition Magnetic Moments of \(J^{P} = \frac{3}{2}^{ + }\) Decuplet to \(J^{P} = \frac{1}{2}^{ + }\) Octet Baryons

“…This results in the presence of the meson cloud at low energies where the effective degrees of freedom are the valence quarks and the internal Goldstone bosons (GBs), which are coupled to the valence quarks [23][24][25][26][27]. The χCQM has successfully been applied to calculate the spin and flavor distribution functions including the strangeness content of the nucleon [25,26,[28][29][30][31][32][33][34][35]. It therefore becomes desirable to extend this model to investigate their transition properties.…”

Axial charges of the hidden-charm pentaquark states

“…Consequently, the axial charges provide a new independent probe of the inner structures of the P c states.The chiral symmetry and its spontaneous breaking play a pivotal role in the low-energy regime, which inspired various versions of the chiral quark model [50][51][52][53][54]. The long-range one-pion-exchange force is introduced to model the interaction between the light quarks, together with the confinement and the one-gluon-exchange potential [55][56][57][58][59]. The chiral quark models are widely * Electronic address: wgj@pku.edu.cn † Electronic address: zhan-wei.liu@adelaide.edu.au ‡ Electronic address: zhusl@pku.edu.cn…”