Relations for low-energy constants in baryon chiral perturbation theory with explicit $$\Delta (1232)$$ Δ ( 1232 ) derived from the chiral quark model

Abstract

Abstract We study the relations between low-energy constants in the chiral Lagrangians with $$\Delta (1232)$$ Δ ( 1232 ) and those in the quark-level description model up to the third chiral order. Ten structure correspondences are involved in getting the relations. This situation is more complicated than the spin-1/2 baryon case. The obtained results may help to further investigations involving the $$\Delta (1232)$$ Δ ( 1232 ) baryons.