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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 θ¯ 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 O(mq2). At lowest order, the CP-odd couplings induced by the QCD θ¯ term are determined by mass splittings of the baryon octet, the classic result of Crewther et al. [Phys. Lett. B 88, 123 (1979)PYLBAJ0370-269310.1016/0370-2693(79)90128-X]. We show that for each isospin-invariant CP-violating nucleon-meson interaction there exists one relation that 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 g¯0 by using recent lattice QCD evaluations of the proton-neutron mass splitting. In addition, we derive semiprecise values for CP-violating coupling constants between heavier mesons and nucleons with ~30% uncertainty and discuss their phenomenological impact on electric dipole moments of nucleons and nuclei.

Authors:
 [1];  [2];  [3]
  1. Institut fur Kernphysik and Julich Center for Hadron Physics, Julich (Germany)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Mound Plant (MOUND), Miamisburg, OH (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1222937
Alternate Identifier(s):
OSTI ID: 1223152; OSTI ID: 1321759; OSTI ID: 1378584
Report Number(s):
JLAB-THY-15-2061; DOE/OR/23177-3375; arXiv:1506.06247; LA-UR-15-23860; NT@WM-15-07
Journal ID: ISSN 0556-2813; PRVCAN
Grant/Contract Number:  
AC05-06OR23177; SC0012180; AC52-06NA25396; AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C, Nuclear Physics
Additional Journal Information:
Journal Volume: 92; Journal Issue: 4; Journal ID: ISSN 0556-2813
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic and Nuclear Physics

Citation Formats

de Vries, Jordy, Mereghetti, Emanuele, and Walker-Loud, Andre P. Baryon mass splittings and strong CP violation in SU(3) chiral perturbation theory. United States: N. p., 2015. Web. doi:10.1103/PhysRevC.92.045201.
de Vries, Jordy, Mereghetti, Emanuele, & Walker-Loud, Andre P. Baryon mass splittings and strong CP violation in SU(3) chiral perturbation theory. United States. https://doi.org/10.1103/PhysRevC.92.045201
de Vries, Jordy, Mereghetti, Emanuele, and Walker-Loud, Andre P. Thu . "Baryon mass splittings and strong CP violation in SU(3) chiral perturbation theory". United States. https://doi.org/10.1103/PhysRevC.92.045201. https://www.osti.gov/servlets/purl/1222937.
@article{osti_1222937,
title = {Baryon mass splittings and strong CP violation in SU(3) chiral perturbation theory},
author = {de Vries, Jordy and Mereghetti, Emanuele and Walker-Loud, Andre P.},
abstractNote = {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 θ¯ 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 O(mq2). At lowest order, the CP-odd couplings induced by the QCD θ¯ term are determined by mass splittings of the baryon octet, the classic result of Crewther et al. [Phys. Lett. B 88, 123 (1979)PYLBAJ0370-269310.1016/0370-2693(79)90128-X]. We show that for each isospin-invariant CP-violating nucleon-meson interaction there exists one relation that 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 g¯0 by using recent lattice QCD evaluations of the proton-neutron mass splitting. In addition, we derive semiprecise values for CP-violating coupling constants between heavier mesons and nucleons with ~30% uncertainty and discuss their phenomenological impact on electric dipole moments of nucleons and nuclei.},
doi = {10.1103/PhysRevC.92.045201},
journal = {Physical Review C, Nuclear Physics},
number = 4,
volume = 92,
place = {United States},
year = {Thu Oct 08 00:00:00 EDT 2015},
month = {Thu Oct 08 00:00:00 EDT 2015}
}

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