Baryon mass splittings and strong CP violation in SU(3) chiral perturbation theory

de Vries, Jordy; Mereghetti, Emanuele; Walker-Loud, Andre P.

doi:10.1103/PhysRevC.92.045201

Title: Baryon mass splittings and strong $CP$ violation in SU(3) chiral perturbation theory

Journal Article · Thu Oct 08 00:00:00 EDT 2015 · Physical Review C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.92.045201· OSTI ID:1222937

de Vries, Jordy ^[1]; Mereghetti, Emanuele ^[2]; Walker-Loud, Andre P. ^[3]

Institut fur Kernphysik and Julich Center for Hadron Physics, Julich (Germany)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

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.

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Research Organization:: 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 Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC05-06OR23177; SC0012180; AC52-06NA25396; AC02-05CH11231

OSTI ID:: 1222937

Alternate ID(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; PRVCAN

Journal Information:: Physical Review C, Nuclear Physics, Vol. 92, Issue 4; ISSN 0556-2813

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 52 works

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