Baryon Tri-local Interpolating Fields

Abstract

We systematically investigate tri-local (non-local) three-quark baryon fields with U_L(2)*U_R(2) chiral symmetry, according to their Lorentz and isospin (flavor) group representations. We note that they can also be called as "nucleon wave functions" due to this full non-locality. We study their chiral transformation properties and find all the possible chiral multiplets consisting J=1/2 and J=3/2 baryon fields. We find that the axial coupling constant |g_A| = 5/3 is only for nucleon fields belonging to the chiral representation (1/2,1)+(1,1/2) which contains both nucleon fields and Delta fields. Moreover, all the nucleon fields belonging to this representation have |g_A| = 5/3.

8 pages, 3 tables, accepted by EPJC

References in corpus (7)

• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• Chiral Properties of Baryon Fields with Flavor SU(3) Symmetry
• Axial charges of octet and decuplet baryons
• Chiral Properties of Baryon Interpolating Fields
• Large $N_c$ Expansion and the Parity Violating $\pi ,N,\Delta$ Couplings
• Bi-local baryon interpolating fields with two flavours
• The wave function of $[70,1^{-}]$ baryons in the $1/N_c$ expansion