Nucleon matrix elements and baryon masses in the Dirac orbital model

Details Nucleon matrix elements and baryon masses in the Dirac orbital model Nucleon matrix elements and baryon masses in the Dirac orbital model

2006-07-07

arxiv.org/abs/hep-ph/0607075v1

Phys.Atom.Nucl.72:1058-1062,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 2 tables; LaTeX2e

Scientific paper

10.1134/S1063778809060180

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.

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