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

Abstract

We study the relations between low-energy constants (LECs) in the chiral Lagrangians with $\Delta (1232)$ 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 $\Delta (1232)$ baryons.

Comments: Version accepted by Eur. Phys. J. C. 10 pages, 2 figures, 4 tables