scholarly journals Decuplet to octet baryon transitions in chiral perturbation theory

2019 ◽  
Vol 79 (1) ◽  
Author(s):  
Hao-Song Li ◽  
Zhan-Wei Liu ◽  
Xiao-Lin Chen ◽  
Wei-Zhen Deng ◽  
Shi-Lin Zhu
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Chiral Perturbation ◽  
Octet Baryon

scholarly journals LOWEST-LYING OCTET BARYON MASSES IN COVARIANT BARYON CHIRAL PERTURBATION THEORY

2014 ◽  
Vol 26 ◽  
pp. 1460068
Author(s):  
XIU-LEI REN ◽  
LISHENG GENG ◽  
JIE MENG ◽  
HIROSHI TOKI
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Mass Shell ◽  
Renormalization Scheme ◽  
Leading Order ◽  
Chiral Perturbation ◽  
Octet Baryon ◽  
Self Consistent ◽  
Reasonable Description ◽  
Consistent Treatment

We report on a systematic study of the ground-state octet baryon masses in the covariant baryon chiral perturbation theory with the extended-on-mass-shell renormalization scheme up to next-to-next-to-next-to-leading order, taking into account the contributions of the virtual decuplet baryons. A reasonable description of the lattice results is achieved by fitting simultaneously all the publicly availablenf = 2 + 1lattice QCD data. It confirms that the various lattice simulations are consistent with each other. We stress that a self-consistent treatment of finite-volume corrections is important to obtain a χ2/d.o.f. about 1.

Lowest-lying octet baryon masses up to $\mathcal{O}(p^4)$ in covariant baryon chiral perturbation theory

2014 ◽  
Vol 29 ◽  
pp. 1460215
Author(s):  
Xiu-Lei Ren ◽  
Lisheng Geng ◽  
Jie Meng ◽  
Hiroshi Toki
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Mass Shell ◽  
Renormalization Scheme ◽  
Low Energy ◽  
Tree Level ◽  
Chiral Perturbation ◽  
Octet Baryon ◽  
Reasonable Description ◽  
Energy Constants

In this talk, we report on a systematic study of the lowest-lying octet baryon masses in covariant baryon chiral perturbation theory with the extended-on-mass-shell renormalization scheme up to [Formula: see text]. By adjusting the low-energy constants, a reasonable description of the nf = 2 + 1 lattice results is achieved with χ2/d.o.f. about 1. It confirms that the various lattice simulations are consistent with each other. We also find that the virtual decuplet effects on the baryon masses cannot be disentangled from those of the virtual octet baryons and the tree level diagrams.

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