Magnetic moments of JP = 3/2+ decuplet baryons using statistical model

Abstract

A suitable wave function for baryon decuplet is framed with inclusion of sea containing quark- gluon Fock states. Relevant operator formalism is applied to calculate magnetic moments of JP = 3 2 + baryon decuplet. Statistical model assumes decomposition of baryonic state in various quark-gluon Fock states such as jqqqijgi; jqqqijggi; jqqqijgggi with possibility gluon emitting qq pairs condensates due to the subprocesses like g , qq; g , gg and g , qg where qq = uu; dd; ss. Statistical approach and detailed balance principle in combination is used to find the relative probabilities of these Fock states in avor, spin and color space. The total number of partons (sea) in this formalism are restricted to three gluons due to limited free energy of gluon and suppressed number of strange quark-antiquark pairs. The combined approach is used to calculate the magnetic moments, importance of strangeness in the sea (scalar, vector and tensor). Our approach has confirmed the scalar-tensor sea dominancy over vector sea. Various modifications in the model are used to check the validity of statistical approach. The results are matched with theoretical data available. Good consistency with the experimental data have been achieved for Delta++, Delta+ and Omega-.

20 Pages, 7 Table and 1 figure

References in corpus (11)

• Big-Bang Nucleosynthesis
• Measurement of Strange Quark Contributions to the Vector Form Factors of the Proton at Q**2=0.22 (GeV/c)**2
• Observation of a new Xi(b) baryon
• Xi and Omega baryons in the Skyrme model
• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• Magnetic form factors of the octet baryons from lattice QCD and chiral extrapolation
• A relativistic quark model for the Omega- electromagnetic form factors
• Electromagnetic properties of the Delta(1232) and decuplet baryons in the self-consistent SU(3) chiral quark-soliton model
• Sum rules for baryon decuplet magnetic moments
• First Observation of Bottom Baryon Sigma_b States at CDF
• Strange Mass Corrections to Hyperonic Semi-leptonic Decay in Statistical Model

Cited by in corpus (6)

• Tomography of light mesons in light-cone quark model
• Spectroscopy of Light Baryons: $\Delta$ Resonances
• Properties of JP = 1/2+ baryon octets at low energy
• J/P=1/2+, J/P=3/2+ masses in statistical model
• Sea contribution to the charge radii and quadrupole moment of $J^P={\frac{1}{2}}^{+},{\frac{3}{2}}^{+}$ baryons
• Magnetic field dependence of Delta isobars properties in a Skyrme model