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.
Highlights
The axial-vector constants play a very important role in understanding the structure of a baryon both in strong and weak interactions
We show the results of the axial-vector form factors of all other members of the baryon decuplet, emphasizing the effects of flavor SU(3) symmetry breaking
We aimed at investigating the axial-vector form factors of the baryon decuplet within the framework of the selfconsistent chiral quark-soliton model
Summary
The axial-vector constants play a very important role in understanding the structure of a baryon both in strong and weak interactions. We want to investigate the axialvector form factors of the baryon decuplet within the framework of the chiral quark-soliton model (χQSM) [9–16]. [36], Christov et al carried out the calculation of gA based on the formalism of the functional integral, in which the time ordering of the collective operators arises naturally, and found that these rotational 1=Nc corrections describe gA quantitatively without causing the violation of the G parity and the Pauli principle. The rotational 1=Nc corrections correctly reproduce the result of gA 1⁄4 ðNc þ 2Þ=3 in the limit of NRQM [40] Having kept this problem in mind, we will investigate the axial-vector form factors of the baryon decuplet, which have never been studied within the framework of the χQSM. We summarize the present work and give outlook for future works
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