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

Abstract

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/Nc corrections and regard the strange current quark mass as a perturbation. We compare the present results for the ∆ → N 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., |∆S| = 1. We obtain the value of the essential form factor C A 5 for the ∆ → N 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 MA compared to the data.

Axial-vector transition form factors of the singly heavy baryons

“…Nevertheless, we use M = 420 MeV because one can produce various experimental data such as the radius of the proton [58], the magnetic dipole moments [59], and semileptonic decays of hyperons [60,61]. Note that the values of all the parameters are the same as in the previous works [28,33,34,51].…”

“…In effect, the numerical results are improved by considering M cl + m c in place of M3 and M 6 by around 10 %. Similar approximations were performed in the case of the baryon octet and decuplet [51,62,63]. As shown in Eqs.…”

“…We consider the rotational 1/N c corrections and explicit breaking of SU(3) f symmetry to linear order [50]. Since we have already computed the axial-vector transition form factors of the baryon decuplet [51], we will focus on how the axial-vector transition form factors of the singly charmed baryons with spin 3/2 behave differently from those of the ∆ isobar.…”