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

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

[1]  Yan-Rui Liu,et al.  Relations for low-energy coupling constants in baryon chiral perturbation theory derived from the chiral quark model , 2022, Physical Review D.

[2]  Yan-Rui Liu,et al.  Chiral Lagrangians with decuplet baryons to one loop , 2018, 1801.09879.

[3]  Yan-Rui Liu,et al.  09 69 0 v 2 [ he pph ] 1 4 D ec 2 01 7 Chiral Lagrangians with ∆ ( 1232 ) to one loop , 2018 .

[4]  U. Meißner,et al.  Aspects of the low-energy constants in the chiral Lagrangian for charmed mesons , 2016, 1610.02963.

[5]  Yan-Rui Liu,et al.  Pseudoscalar meson and heavy vector meson scattering lengths , 2011, 1104.2726.

[6]  Yan-Rui Liu,et al.  Pseudoscalar meson and decuplet baryon scattering lengths , 2010, 1011.3613.

[7]  S. Scherer,et al.  Chiral Perturbation Theory for Baryons , 2011 .

[8]  A. Pich Low-Energy Constants from Resonance Chiral Theory , 2008, 0812.2631.

[9]  D. Phillips,et al.  Effective theory of the Delta(1232) in Compton scattering off the nucleon , 2003 .

[10]  Katherine West Scheil,et al.  N. N. , 2002, Books on Military Architecture Printed in Venice.

[11]  N. Fettes,et al.  Pion–nucleon scattering in an effective chiral field theory with explicit spin-3/2 fields☆ , 2000, hep-ph/0006299.

[12]  U. Meißner,et al.  The chiral effective pion-nucleon Lagrangian of order $p^{4}$ , 2000, hep-ph/0001308.

[13]  B. Holstein,et al.  Chiral Lagrangians and delta(1232) interactions: Formalism , 1997 .

[14]  V. Bernard,et al.  Chiral dynamics in nucleons and nuclei , 1995, hep-ph/9501384.

[15]  Mukhopadhyay,et al.  NN,N Delta couplings and the quark model. , 1994, Physical review. D, Particles and fields.

[16]  U. Meißner,et al.  Chiral corrections to the S-wave pion-nucleon scattering lengths , 1993, hep-ph/9304275.

[17]  A. Pich,et al.  The Role of Resonances in Chiral Perturbation Theory , 1989 .

[18]  D. Drechsel Contributions of internal nucleon structure to the nuclear charge and current operators , 1983 .

[19]  E. Witten Baryons in the 1/n Expansion , 1979 .

[20]  G. Hooft A Planar Diagram Theory for Strong Interactions , 1974 .

[21]  J. Schwinger,et al.  On a theory of particles with half integral spin , 1941 .