Axial-vector charges of the spin ${\frac{1}{2}}^{+}$ and spin ${\frac{3}{2}}^{+}$ light and charmed baryons in the SU(4) chiral quark constituent model

Abstract

Following the first clear evidence of the presence of intrinsic charm contribution in the proton, the axial-vector charges of the light and charmed baryons are investigated in the framework of $SU(4)$ chiral constituent quark model after including the explicit contributions from the $u\bar{u}$, $d\bar{d}$, $s\bar{s}$ and $c\bar{c}$ fluctuations. The axial-vector charges having physical significance correspond to the generators of the $SU(4)$ group with flavor singlet ${\lambda }^0$, flavor isovector ${\lambda }^3$, flavor hypercharge ${\lambda }^8$ and flavor charmed ${\lambda }^{15}$ combinations of axial-vector current at zero momentum transfer. In contemplation to further understand the $Q^2$ dependence of these charges, we have used the conventionally established dipole form of parametrization. The baryons considered here are the spin ${\frac{1}{2}}^{+}$ and spin ${\frac{3}{2}}^{+}$ multiplets decomposed further depending on the charm content of baryons.

Comments: 37 pages, 6 figures. To appear in The European Physical Journal Plus