Axial-vector form factors of the baryon decuplet with flavor SU(3) symmetry breaking

Abstract

The axial-vector form factors and axial-vector constants of the baryon decuplet are investigated within a pion mean-field approach, which is also known as the chiral quark-soliton model. Given an axial-vector current with a specified flavor, there are four different form factors of a decuplet baryon. When we consider the singlet, triplet, and octet axial-vector currents, we have twelve different form factors for each member of the baryon decuplet. We compute all these axial-vector form factors of the baryon decuplet, taking into account the rotational $1/N_c$ corrections and effects of flavor SU(3) symmetry breaking. We find that, for a given flavor, two of the form factors for a decuplet baryon are only independent within the present approach. We first examine properties of the axial-vector form factors of the ${\Delta }^{+}$ isobar and ${\Omega }^{-}$ hyperon. We also compare the results of the triplet axial-vector form factors of ${\Delta }^{+}$ with those from lattice QCD and those of the present work for the axial-vector constants of the baryon decuplet with the lattice data. All the results for other members of the baryon decuplet are then presented. The results of the axial charges are compared with those of other works. The axial masses and axial radii are also discussed.

31 pages, 14 figures

References in corpus (11)

• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Transverse spin structure of the nucleon from lattice QCD simulations
• The pion form factor from lattice QCD with two dynamical flavours
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Electromagnetic properties of the Delta(1232) and decuplet baryons in the self-consistent SU(3) chiral quark-soliton model
• Axial charges of octet and decuplet baryons
• Pion mass dependence of the nucleon mass in the chiral quark soliton model
• Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking
• Chiral Corrections and the Axial Charge of the Delta
• Axial-vector transitions and strong decays of the baryon antidecuplet in the self-consistent SU(3) chiral quark-soliton model
• Isovector axial vector and pseudoscalar transition form factors of $\Delta$ in QCD

Cited by in corpus (2)

• Quark spin content of SU(3) light and singly heavy baryons
• Axial-vector charges of the spin ${\frac{1}{2}}^{+}$ and spin ${\frac{3}{2}}^{+}$ light and charmed baryons in the SU(4) chiral quark constituent model