Baryon mass splittings and strong 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:
-
- 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)
- 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}
}
Web of Science
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Electric Dipole Moments of Light Nuclei From Chiral Effective Field Theory
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Isospin breaking in octet baryon mass splittings
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Strange quark contributions to nucleon mass and spin from lattice QCD
text, January 2012
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Baryon electric dipole moments from strong CP violation
text, January 2012
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Nuclear electric dipole moment of three-body system
text, January 2012
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Neutron Electric Dipole Moment Induced by the Strangeness Revisited
text, January 2012
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The Effective Chiral Lagrangian From Dimension-Six Parity and Time-Reversal Violation
text, January 2012
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Measurement of Permanent Electric Dipole Moments of Charged Hadrons in Storage Rings
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Scalar strangeness content of the nucleon and baryon sigma terms
text, January 2014
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- arXiv
Finite-volume corrections to the CP-odd nucleon matrix elements of the electromagnetic current from the QCD vacuum angle
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Reexamination of The Standard Model Nucleon Electric Dipole Moment
text, January 2014
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- arXiv
P- and T-Violating Lagrangians in Chiral Effective Field Theory and Nuclear Electric Dipole Moments
text, January 2014
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An Improved Experimental Limit on the Electric Dipole Moment of the Neutron
text, January 2006
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Chiral extrapolations of baryon masses for unquenched three-flavor lattice simulations
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Octet Baryon Masses in Partially Quenched Chiral Perturbation Theory
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Decuplet Baryon Masses in Partially Quenched Chiral Perturbation Theory
text, January 2004
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Strong-Isospin Violation in the Neutron-Proton Mass Difference from Fully-Dynamical Lattice QCD and PQQCD
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Probing CP Violation with the Deuteron Electric Dipole Moment
text, January 2004
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Electric dipole moments as probes of new physics
text, January 2005
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- arXiv
Critical Analysis of Baryon Masses and Sigma-Terms in Heavy Baryon Chiral Perturbation Theory
text, January 1993
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$P$- and $T$-odd two-nucleon interaction and the deuteron electric dipole moment
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Works referencing / citing this record:
Relativistic many-body theory of the electric dipole moment of and its implications for probing new physics beyond the standard model
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Theoretical study of to search for the nuclear magnetic quadrupole moment
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Time-reversal invariance violation in neutron-nucleus scattering
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Nuclear electric dipole moment in the cluster model with a triton: and
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Time reversal violating magnetic quadrupole moment in heavy deformed nuclei
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Probing exotic phenomena at the interface of nuclear and particle physics with the electric dipole moments of diamagnetic atoms: A unique window to hadronic and semi-leptonic CP violation
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Feynman–Hellmann theorem for resonances and the quest for QCD exotica
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Time reversal invariance violation in neutron-nucleus scattering
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Feynman-Hellmann theorem for resonances and the quest for QCD exotica
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Time reversal violating Magnetic Quadrupole Moment in heavy deformed nuclei
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