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Publication Information
Title Baryon mass splittings and strong CP violation in SU(3) Chiral Perturbation Theory
Abstract We study $SU(3)$ flavor-breaking corrections to the relation between the octet baryon masses and the nucleon-meson CP-violating interactions induced by the QCD $\bar\theta$ term. We work within the framework of $SU(3)$ chiral perturbation theory and work through next-to-next-to-leading order in the $SU(3)$ chiral expansion, which is $\mathcal{O}(m_q^2)$. At lowest order, the CP-odd couplings induced by the QCD $\bar\theta$ term are determined by mass splittings of the baryon octet, the classic result of Crewther et al. We show that for each isospin-invariant CP-violating nucleon-meson interaction there exists one relation which is respected by loop corrections up to the order we work, while other leading-order relations are violated. With these relations we extract a precise value of the pion-nucleon coupling $\bar g_0$ by using recent lattice QCD evaluations of the proton-neutron mass splitting. In addition, we derive semi-precise values for CP-violating coupling constants between hea
Author(s) Jordy de Vries, Emanuele Mereghetti, Andre Walker-Loud
Publication Date October 2015
Document Type Journal Article
Primary Institution Thomas Jefferson National Accelerator Facility, Newport News
Affiliation Theory & Comp Physics / THEORY CENTER / THEORY CENTER
Funding Source
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-15-2061 OSTI Number: 1222937
LANL Number: arXiv:1506.06247 Other Number: DOE/OR/23177-3375
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding No
Journal Article
Journal Name Physical Review C
Refereed Yes
Volume 92
Issue 04
Page(s) 045201
Attachments/Datasets/DOI Link
Document(s)
1506.06247v1.pdf (STI Document)
DOI Link
Dataset(s) (none)
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