The $qqqq\bar{q}$ components and the magnetic moments of the charmed and the bottomed baryons

Abstract

We give the explicit wave functions of the $qqqq\bar{q}$ components of the C=+1, J=1/2 charmed baryons, $\Sigma_{c}$, $\Lambda_{c}$ and $\Xi_{c}^{a}$, and calculate the magnetic moments by adding the 5q components contributions, and we also compute the magnetic moments of the $\Sigma_{b}$ and $\Sigma_{b}^{*}$ baryons. The influence of the additional light and strange $q\bar{q}$ pairs is investigated. It's obvious that the constituent quark masses of the charm and beauty quarks are much heavier than that of the light and strange quarks, consequently, the hidden flavor contributions to the baryons magnetic moments may be significant. What is interesting is that the inclusion of the $qqqq\bar{q}$ components contributions leads to different $\Lambda^{+}_{c}$, $\Xi^{a+}_{c}$ and $\Xi^{a0}_{c}$ magnetic moments, all of which are predicted to be the same value $0.38\mu_{N}$ on the basis of the classical qqq quark model. And it's shown that the differences of these magnetic moments are independent of the constituent mass of the charm quark.