  The quark model symmetry can be adopted to establish relations between the
low-energy constants (LECs) in the baryon chiral perturbation theory ($\chi
PT$) if one assumes that a baryon-baryon-meson coupling is described
equivalently by a quark-quark-meson coupling at the quark level. Through the
correspondence between the $SU(2)$ description and the $SU(3)$ description for
the same coupling vertex at the quark level, we find some relations between the
LECs in $SU(2)_{\chi PT}$ and $SU(3)_{\chi PT}$ up to the third chiral order.
The $SU(3)_{\chi PT}$ LEC relations at the same order are also obtained. The
numerical analysis roughly supports these relations. In the situation that the
available experimental data are not enough, one may employ such constraints to
reduce the number of LECs.
