Nucleon matrix elements and baryon masses in the Dirac orbital model

Abstract

Using the expansion of the baryon wave function in a series of products of single quark bispinors (Dirac orbitals), the nonsinglet axial and tensor charges of a nucleon are calculated. The leading term yields $g_A=1.27$ in good agreement with experiment. Calculation is essentially parameter-free and depends only on the strong coupling constant value ${\alpha }_s$. The importance of lower Dirac bispinor component, yielding 18% to the wave function normalization is stressed. As a check, the baryon decuplet masses in the formalism of this model are also computed using standard values of the string tension $\sigma$ and the strange quark mass $m_s$; the results being in a good agreement with experiment.

8 pages, 2 tables; LaTeX2e

References in corpus (6)

• Transverse Polarisation of Quarks in Hadrons
• Relativistic quark models of baryons with instantaneous forces
• Flavor-Spin Symmetry Estimate of the Nucleon Tensor Charge
• Baryon magnetic moments in the effective quark Lagrangian approach
• Ground-state baryons in nonperturbative quark dynamics
• Axial and tensor charge of the nucleon with dynamical fermions