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 Δ þ isobar and Ω − hyperon. We also compare the results of the triplet axial-vector form factors of Δ þ 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.

Investigations on the flavor-dependent axial charges of the octet baryons

“…While the lattice QCD has demonstrated remarkable progress in computing the hyperons axial transition couplings during the last two decades [35][36][37][38][39][40][41], and the corresponding calculations are with very high accuracy. Besides, there have been also other theoretical efforts dedicated to investigations on the hyperons axial couplings using various approaches, including the chiral perturbation theory and phenomenological hadronic models [42][43][44][45][46][47][48][49].…”

Structure of the $Ω$ baryon and the kaon cloud

“…When the pion cloud is adopted, there is almost no difference between g (0) 1 (Q 2 ) of the ∆ + and Ω − baryons, as presented in Ref. [41]. However, once we replace the pion cloud with the kaon one, the situation is drastically changed.…”

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

“…Thus, we will consider the rotational 1/N c and linear m s corrections. The model has been successfully applied to various observables of the SU(3) baryons: for example, the electromagnetic structures [72][73][74][75][76], strange form factors [77][78][79][80][81][82][83], axial-vector form factors [84,85], tensor charges and corresponding form factors [82,83,86,87], semileptonic decays [18,88,89], radiative transition [90][91][92], the nucleon parton distributions [93][94][95][96][97][98], and the gravitational form factors [99,100] of the nucleon. In this work, we will concentrate on all possible axial-vector transitions from the baryon decuplet to the baryon octet, including both ∆S = 0 and |∆S| = 1 transitions.…”