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

We investigate the axial-vector transition form factors of the baryon octet to the baryon decuplet within the framework of the chiral quark-soliton model, with the effects of flavor SU (3) symmetry breaking included. We consider the rotational 1/N₂ corrections and regard the strange current quark mass as a perturbation. We compare the present results for the axial-vector transition with those from other models and lattice QCD. We also compute all possible axial-vector transitions from the baryon decuplet to the octet with the strangeness changed, i. e. , ||=1. We obtain the value of the essential form factor C₅^A for the axial-vector transition at the zero momentum transfer (Q^2=0). Furthermore, the present results are in good agreement with those fitted with the T2K data. We extract the value of the axial-vector mass M₀ compared to the data.