Chiral Lagrangians with decuplet baryons to one loop

Abstract

We construct the relativistic chiral Lagrangians with decuplet baryons up to the order $\mathcal{O}(p^4)$ (one loop). For the meson-decuplet-decuplet couplings, there are 1, 13, 55, and 548 terms in the $\mathcal{O}(p^1)$-$\mathcal{O}(p^4)$ order Lagrangians, respectively. For the meson-octet-decuplet Lagrangians, the number of independent terms from $\mathcal{O}(p^1)$ to $\mathcal{O}(p^4)$ are 1, 5, 67, and 611, respectively. For convenience of applications, the $\pi \Delta \Delta$ and $\pi N\Delta$ chiral Lagrangians are picked out. This new form of $\Delta$ Lagrangians is equivalent to the original isovector-isospinor one and we establish relations between these two forms.

25 pages, 7 tables

References in corpus (8)

• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• On the chiral effective meson-baryon Lagrangian at third order
• Scattering of decuplet baryons in chiral effective field theory
• Decuplet contribution to the meson-baryon scattering lengths
• The magnetic moments and electromagnetic form factors of the decuplet baryons in chiral perturbation theory
• Meson-baryon effective chiral Lagrangians at order $p^4$
• Pseudoscalar Meson and Decuplet Baryon Scattering Lengths
• Chiral Lagrangians with $\Delta (1232)$ to one loop

Cited by in corpus (7)

• The relativistic chiral Lagrangian for decuplet and octet baryons at next-to-leading order
• Chiral Lagrangians for mesons with a single heavy quark
• Low-energy axial-vector transitions from decuplet to octet baryons
• Relations for low-energy constants in baryon chiral perturbation theory with explicit $\Delta (1232)$ derived from the chiral quark model
• Relations for low-energy coupling constants in baryon chiral perturbation theory derived from the chiral quark model
• Constraints from a large-N_c analysis on meson-baryon interactions at chiral order Q^3
• Chiral Lagrangians for singly heavy baryons to $\mathcal{O}(p^4)$ order