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Title: Baryon chiral perturbation theory combined with the 1 / N c expansion in SU(3): Framework

Baryon Chiral Perturbation Theory combined with the $$1/N_c$$ expansion is implemented for three flavors. Here, Baryon masses, vector charges and axial vector couplings are studied to one-loop and organized according to the $$\xi$$-expansion, in which the $$1/N_c$$ and the low energy power countings are linked according to $$1/N_c={\cal{O}}(\xi)={\cal{O}}(p)$$. The renormalization to $${\cal{O}}(\xi^3)$$ necessary for the mentioned observables is provided, along with applications to the baryon masses and axial couplings as obtained in lattice QCD calculations.
Authors:
 [1] ;  [1]
  1. Hampton Univ., Hampton, VA (United States). Dept. of Physics; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Report Number(s):
JLAB-THY-18-3; DOE/OR/23177-4277; arXiv:1712.01672
Journal ID: ISSN 2470-0010; PRVDAQ; TRN: US1802453
Grant/Contract Number:
AC05-06OR23177; PHY-1307413; PHY-1613951
Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Baryons; large N; Chiral Perturbation Theory
OSTI Identifier:
1426860
Alternate Identifier(s):
OSTI ID: 1426019

Fernando, I. P., and Goity, J. L.. Baryon chiral perturbation theory combined with the 1/Nc expansion in SU(3): Framework. United States: N. p., Web. doi:10.1103/PhysRevD.97.054010.
Fernando, I. P., & Goity, J. L.. Baryon chiral perturbation theory combined with the 1/Nc expansion in SU(3): Framework. United States. doi:10.1103/PhysRevD.97.054010.
Fernando, I. P., and Goity, J. L.. 2018. "Baryon chiral perturbation theory combined with the 1/Nc expansion in SU(3): Framework". United States. doi:10.1103/PhysRevD.97.054010.
@article{osti_1426860,
title = {Baryon chiral perturbation theory combined with the 1/Nc expansion in SU(3): Framework},
author = {Fernando, I. P. and Goity, J. L.},
abstractNote = {Baryon Chiral Perturbation Theory combined with the $1/N_c$ expansion is implemented for three flavors. Here, Baryon masses, vector charges and axial vector couplings are studied to one-loop and organized according to the $\xi$-expansion, in which the $1/N_c$ and the low energy power countings are linked according to $1/N_c={\cal{O}}(\xi)={\cal{O}}(p)$. The renormalization to ${\cal{O}}(\xi^3)$ necessary for the mentioned observables is provided, along with applications to the baryon masses and axial couplings as obtained in lattice QCD calculations.},
doi = {10.1103/PhysRevD.97.054010},
journal = {Physical Review D},
number = 5,
volume = 97,
place = {United States},
year = {2018},
month = {3}
}