Axial-vector transitions and strong decays of the baryon antidecuplet in the self-consistent SU(3) chiral quark-soliton model

Abstract

We investigate the axial-vector transition constants of the baryon antidecuplet to the octet and decuplet within the framework of the self-consistent SU(3) chiral quark-soliton model. Taking into account rotational $1/{N}_{c}$ and linear ${m}_{s}$ corrections and using the symmetry-conserving quantization, we calculate the axial-vector transition constants. It is found that the leading-order contributions are generally almost canceled by the rotational $1/{N}_{c}$ corrections. Thus, the ${m}_{s}$ corrections turn out to be essential contributions to the axial-vector constants. The decay width of the ${\ensuremath{\Theta}}^{+}\ensuremath{\rightarrow}NK$ transition is determined to be $\ensuremath{\Gamma}(\ensuremath{\Theta}\ensuremath{\rightarrow}NK)=0.71\text{ }\text{ }\mathrm{MeV}$, based on the result of the axial-vector transition constant ${g}_{A}^{*}(\ensuremath{\Theta}\ensuremath{\rightarrow}NK)=0.05$. In addition, other strong decays of the baryon antidecuplet are investigated. The forbidden decays from the baryon antidecuplet to the decuplet are also studied.