Nuclear axial currents in chiral effective field theory
Abstract
In this study, two-nucleon axial charge and current operators are derived in chiral effective field theory up to one loop. The derivation is based on time-ordered perturbation theory and accounts for cancellations between the contributions of irreducible diagrams and the contributions owing to nonstatic corrections from energy denominators of reducible diagrams. Ultraviolet divergencies associated with the loop corrections are isolated in dimensional regularization. The resulting axial current is finite and conserved in the chiral limit, while the axial charge requires renormalization. A complete set of contact terms for the axial charge up to the relevant order in the power counting is constructed.
- Authors:
-
- Old Dominion Univ., Norfolk, VA (United States)
- Univ. of Salento and INFN-Lecce, Lecce (Italy)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of South Carolina, Columbia, SC (United States)
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
- INFN-Pisa, Pisa (Italy)
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1237076
- Alternate Identifier(s):
- OSTI ID: 1234301; OSTI ID: 1248905
- Report Number(s):
- JLAB-THY-15-2139; DOE/OR/23177-3557; arXiv:1509.07039; LA-UR-15-27549
Journal ID: ISSN 2469-9985; PRVCAN
- Grant/Contract Number:
- AC05-06OR23177; AC52-06NA25396; PHY1068305; PHY-1068305
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 1; Journal ID: ISSN 2469-9985
- Publisher:
- APS
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Baroni, Alessandro, Girlanda, Luca, Pastore, Saori, Schiavilla, Rocco, and Viviani, Michele. Nuclear axial currents in chiral effective field theory. United States: N. p., 2016.
Web. doi:10.1103/PhysRevC.93.015501.
Baroni, Alessandro, Girlanda, Luca, Pastore, Saori, Schiavilla, Rocco, & Viviani, Michele. Nuclear axial currents in chiral effective field theory. United States. https://doi.org/10.1103/PhysRevC.93.015501
Baroni, Alessandro, Girlanda, Luca, Pastore, Saori, Schiavilla, Rocco, and Viviani, Michele. Mon .
"Nuclear axial currents in chiral effective field theory". United States. https://doi.org/10.1103/PhysRevC.93.015501. https://www.osti.gov/servlets/purl/1237076.
@article{osti_1237076,
title = {Nuclear axial currents in chiral effective field theory},
author = {Baroni, Alessandro and Girlanda, Luca and Pastore, Saori and Schiavilla, Rocco and Viviani, Michele},
abstractNote = {In this study, two-nucleon axial charge and current operators are derived in chiral effective field theory up to one loop. The derivation is based on time-ordered perturbation theory and accounts for cancellations between the contributions of irreducible diagrams and the contributions owing to nonstatic corrections from energy denominators of reducible diagrams. Ultraviolet divergencies associated with the loop corrections are isolated in dimensional regularization. The resulting axial current is finite and conserved in the chiral limit, while the axial charge requires renormalization. A complete set of contact terms for the axial charge up to the relevant order in the power counting is constructed.},
doi = {10.1103/PhysRevC.93.015501},
journal = {Physical Review C},
number = 1,
volume = 93,
place = {United States},
year = {Mon Jan 11 00:00:00 EST 2016},
month = {Mon Jan 11 00:00:00 EST 2016}
}
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Works referenced in this record:
Two-nucleon potential from chiral Lagrangians
journal, May 1996
- Ordóñez, C.; Ray, L.; van Kolck, U.
- Physical Review C, Vol. 53, Issue 5
Nuclear forces from chiral Lagrangians using the method of unitary transformation (I): Formalism
journal, July 1998
- Epelbaoum, E.; Glöckle, W.; Meißner, Ulf-G.
- Nuclear Physics A, Vol. 637, Issue 1
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory
journal, October 2003
- Entem, D. R.; Machleidt, R.
- Physical Review C, Vol. 68, Issue 4
Chiral effective field theory and nuclear forces
journal, June 2011
- Machleidt, R.; Entem, D. R.
- Physics Reports, Vol. 503, Issue 1
Local three-nucleon interaction from chiral effective field theory
journal, November 2007
- Navrátil, P.
- Few-Body Systems, Vol. 41, Issue 3-4
Three-nucleon forces from chiral effective field theory
journal, December 2002
- Epelbaum, E.; Nogga, A.; Glöckle, W.
- Physical Review C, Vol. 66, Issue 6
Few-nucleon forces from chiral Lagrangians
journal, June 1994
- van Kolck, U.
- Physical Review C, Vol. 49, Issue 6
Subleading contributions to the chiral three-nucleon force. II. Short-range terms and relativistic corrections
journal, November 2011
- Bernard, V.; Epelbaum, E.; Krebs, H.
- Physical Review C, Vol. 84, Issue 5
Subleading contributions to the three-nucleon contact interaction
journal, July 2011
- Girlanda, L.; Kievsky, A.; Viviani, M.
- Physical Review C, Vol. 84, Issue 1
Charge-independence breaking in the two-pion-exchange nucleon-nucleon force
journal, August 1999
- Friar, J. L.; van Kolck, U.
- Physical Review C, Vol. 60, Issue 3
Charge independence breaking and charge symmetry breaking in the nucleon–nucleon interaction from effective field theory
journal, August 1999
- Epelbaum, E.; Meißner, Ulf-G.
- Physics Letters B, Vol. 461, Issue 3
Nucleon-mass difference in chiral perturbation theory and nuclear forces
journal, October 2004
- Friar, J. L.; van Kolck, U.; Rentmeester, M. C. M.
- Physical Review C, Vol. 70, Issue 4
Charge-symmetry-breaking three-nucleon forces
journal, February 2005
- Friar, J. L.; Payne, G. L.; van Kolck, U.
- Physical Review C, Vol. 71, Issue 2
Hadronic parity violation
journal, July 2013
- Haxton, Wick C.; Holstein, Barry R.
- Progress in Particle and Nuclear Physics, Vol. 71
Nuclear parity violation in effective field theory
journal, February 2005
- Zhu, Shi-Lin; Maekawa, C. M.; Holstein, B. R.
- Nuclear Physics A, Vol. 748, Issue 3-4
Chiral effective field theory analysis of hadronic parity violation in few-nucleon systems
journal, June 2014
- Viviani, M.; Baroni, A.; Girlanda, L.
- Physical Review C, Vol. 89, Issue 6
Chiral dynamics and heavy-fermion formalism in nuclei: exchange axial currents
journal, October 1993
- Park, Tae-Sun; Min, Dong-Pil; Rho, Mannque
- Physics Reports, Vol. 233, Issue 6
Chiral Lagrangian approach to exchange vector currents in nuclei
journal, January 1996
- Park, Tae-Sun; Min, Dong-Pil; Rho, Mannque
- Nuclear Physics A, Vol. 596, Issue 3-4
Electromagnetic two-body currents of one- and two-pion range
journal, December 2008
- Pastore, S.; Schiavilla, R.; Goity, J. L.
- Physical Review C, Vol. 78, Issue 6
Electromagnetic currents and magnetic moments in chiral effective field theory
journal, September 2009
- Pastore, S.; Girlanda, L.; Schiavilla, R.
- Physical Review C, Vol. 80, Issue 3
Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
journal, October 2009
- Kölling, S.; Epelbaum, E.; Krebs, H.
- Physical Review C, Vol. 80, Issue 4
Two-nucleon electromagnetic charge operator in chiral effective field theory ( EFT) up to one loop
journal, August 2011
- Pastore, S.; Girlanda, L.; Schiavilla, R.
- Physical Review C, Vol. 84, Issue 2
Two-nucleon electromagnetic current in chiral effective field theory: One-pion exchange and short-range contributions
journal, November 2011
- Kölling, S.; Epelbaum, E.; Krebs, H.
- Physical Review C, Vol. 84, Issue 5
Electromagnetic structure of and 3 nuclei in chiral effective field theory
journal, January 2013
- Piarulli, M.; Girlanda, L.; Marcucci, L. E.
- Physical Review C, Vol. 87, Issue 1
Tests of the standard electroweak model in nuclear beta decay
journal, September 2006
- Severijns, Nathal; Beck, Marcus; Naviliat-Cuncic, Oscar
- Reviews of Modern Physics, Vol. 78, Issue 3
The Chiral Effective Pion-Nucleon Lagrangian of Order p4
journal, August 2000
- Fettes, Nadia; Meißner, Ulf-G.; Mojžiš, Martin
- Annals of Physics, Vol. 283, Issue 2
A Primer for Chiral Perturbation Theory
book, January 2012
- Scherer, Stefan; Schindler, Matthias R.
- Lecture Notes in Physics
Nuclear forces from chiral lagrangians
journal, November 1990
- Weinberg, Steven
- Physics Letters B, Vol. 251, Issue 2
Effective chiral lagrangians for nucleon-pion interactions and nuclear forces
journal, September 1991
- Weinberg, Steven
- Nuclear Physics B, Vol. 363, Issue 1
Three-body interactions among nucleons and pions
journal, November 1992
- Weinberg, Steven
- Physics Letters B, Vol. 295, Issue 1-2
Pion-exchange contributions to the nuclear charge, current, and Hamiltonian operators
journal, April 1977
- Friar, James L.
- Annals of Physics, Vol. 104, Issue 2
Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
journal, May 2000
- Epelbaum, E.; Glöckle, W.; Meißner, Ulf-G.
- Nuclear Physics A, Vol. 671, Issue 1-4
Nuclear forces in the chiral limit
journal, February 2003
- Epelbaum, E.; Meißner, Ulf-G.; Glöckle, W.
- Nuclear Physics A, Vol. 714, Issue 3-4
The two-nucleon system at next-to-next-to-next-to-leading order
journal, January 2005
- Epelbaum, E.; Glöckle, W.; Meißner, Ulf-G.
- Nuclear Physics A, Vol. 747, Issue 2-4
Diagonalization of Hamiltonian and Tamm-Dancoff Equation
journal, November 1954
- Ôkubo, Susumu
- Progress of Theoretical Physics, Vol. 12, Issue 5
Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
journal, May 2003
- Park, T. -S.; Marcucci, L. E.; Schiavilla, R.
- Physical Review C, Vol. 67, Issue 5
How Low-Energy Weak Reactions Can Constrain Three-Nucleon Forces and the Neutron-Neutron Scattering Length
journal, June 2006
- Gårdestig, A.; Phillips, D. R.
- Physical Review Letters, Vol. 96, Issue 23
Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
journal, September 2009
- Gazit, Doron; Quaglioni, Sofia; Navrátil, Petr
- Physical Review Letters, Vol. 103, Issue 10
Chiral Effective Field Theory Predictions for Muon Capture on Deuteron and
journal, January 2012
- Marcucci, L. E.; Kievsky, A.; Rosati, S.
- Physical Review Letters, Vol. 108, Issue 5
Chiral perturbation theory to one loop
journal, November 1984
- Gasser, J.; Leutwyler, H.
- Annals of Physics, Vol. 158, Issue 1
Axial, induced pseudoscalar, and pion-nucleon form factors in manifestly Lorentz-invariant chiral perturbation theory
journal, February 2007
- Schindler, M. R.; Fuchs, T.; Gegelia, J.
- Physical Review C, Vol. 75, Issue 2
Ground-state energy of pionic hydrogen to one loop
journal, November 2002
- Gasser, J.; Ivanov, M. A.; Lipartia, E.
- The European Physical Journal C, Vol. 26, Issue 1
Chiral Loops
journal, May 1971
- Gerstein, Ira S.; Jackiw, Roman; Lee, Benjamin W.
- Physical Review D, Vol. 3, Issue 10
Chiral power counting of one- and two-body currents in direct detection of dark matter
journal, June 2015
- Hoferichter, Martin; Klos, Philipp; Schwenk, Achim
- Physics Letters B, Vol. 746
Pion-nucleon scattering in chiral perturbation theory (I): Isospin-symmetric case
journal, September 1998
- Fettes, Nadia; Meißner, Ulf-G.; Steininger, Sven
- Nuclear Physics A, Vol. 640, Issue 2
Complete analysis of pion–nucleon scattering in chiral perturbation theory to third order
journal, October 2001
- Fettes, Nadia; Meißner, Ulf-G.
- Nuclear Physics A, Vol. 693, Issue 3-4
Chiral three-nucleon force at N LO: Longest-range contributions
journal, May 2012
- Krebs, H.; Gasparyan, A.; Epelbaum, E.
- Physical Review C, Vol. 85, Issue 5
Improved description of the -scattering phenomenology at low energies in covariant baryon chiral perturbation theory
journal, September 2013
- Alarcón, J. M.; Martin Camalich, J.; Oller, J. A.
- Annals of Physics, Vol. 336
Proton-Proton Weak Capture in Chiral Effective Field Theory
journal, May 2013
- Marcucci, L. E.; Schiavilla, R.; Viviani, M.
- Physical Review Letters, Vol. 110, Issue 19
Large-scale nuclear structure calculations for spin-dependent WIMP scattering with chiral effective field theory currents
journal, October 2013
- Klos, P.; Menéndez, J.; Gazit, D.
- Physical Review D, Vol. 88, Issue 8
Laser polarized muonic 3He and spin dependent μ− capture
journal, January 1998
- Souder, P. A.; Bogorad, P. L.; Brash, E. J.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 402, Issue 2-3
Multinucleon effects in muon capture on at high energy transfer
journal, October 1994
- Kuhn, S. E.; Cummings, W. J.; Dodge, G. E.
- Physical Review C, Vol. 50, Issue 4
Quantum Monte Carlo methods for nuclear physics
journal, September 2015
- Carlson, J.; Gandolfi, S.; Pederiva, F.
- Reviews of Modern Physics, Vol. 87, Issue 3
Weak transitions in and 7 nuclei
journal, April 2002
- Schiavilla, R.; Wiringa, R. B.
- Physical Review C, Vol. 65, Issue 5
Electromagnetic and neutral-weak response functions of and
journal, June 2015
- Lovato, A.; Gandolfi, S.; Carlson, J.
- Physical Review C, Vol. 91, Issue 6
Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including resonances
journal, February 2015
- Piarulli, M.; Girlanda, L.; Schiavilla, R.
- Physical Review C, Vol. 91, Issue 2
Local three-nucleon interaction from chiral effective field theory
text, January 2007
- Navratil, Petr
- arXiv
Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
text, January 2009
- Koelling, S.; Epelbaum, E.; Krebs, H.
- arXiv
Chiral effective field theory and nuclear forces
text, January 2011
- Machleidt, R.; Entem, D. R.
- arXiv
Two-nucleon electromagnetic current in chiral effective field theory: one-pion exchange and short-range contributions
text, January 2011
- Koelling, S.; Epelbaum, E.; Krebs, H.
- arXiv
Subleading contributions to the chiral three-nucleon force II: Short-range terms and relativistic corrections
text, January 2011
- Bernard, V.; Epelbaum, E.; Krebs, H.
- arXiv
The proton-proton weak capture in chiral effective field theory
text, January 2013
- Marcucci, L. E.; Schiavilla, R.; Viviani, M.
- arXiv
Large-scale nuclear structure calculations for spin-dependent WIMP scattering with chiral effective field theory currents
text, January 2013
- Klos, P.; Menéndez, J.; Gazit, D.
- arXiv
Chiral power counting of one- and two-body currents in direct detection of dark matter
preprint, January 2015
- Hoferichter, Martin; Klos, Philipp; Schwenk, Achim
- arXiv
The chiral effective pion-nucleon Lagrangian of order p^4
text, January 2000
- Fettes, Nadia; Meißner, Ulf-G.; Mojzis, Martin
- arXiv
Ground-state energy of pionic hydrogen to one loop
text, January 2002
- Gasser, J.; Ivanov, M. A.; Lipartia, E.
- arXiv
Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
text, January 1998
- Fettes, Nadia; Meißner, Ulf-G.; Steininger, Sven
- arXiv
Nuclear forces in the chiral limit
text, January 2002
- Epelbaum, Evgeny; Meißner, Ulf-G.; Glöckle, Walter
- arXiv
Three-Nucleon Forces from Chiral Effective Field Theory
text, January 2002
- Epelbaum, E.; Nogga, A.; Glöckle, W.
- arXiv
Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
text, January 2003
- Entem, D. R.; Machleidt, R.
- arXiv
Charge-Symmetry-Breaking Three-Nucleon Forces
text, January 2004
- Friar, J. L.; Payne, G. L.; van Kolck, U.
- arXiv
Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
text, January 1998
- Epelbaoum, E.; Glöckle, W.; Meißner, Ulf-G.
- arXiv
Charge-Independence Breaking in the Two-Pion-Exchange Nucleon-Nucleon Force
text, January 1999
- Friar, J. L.; van Kolck, U.
- arXiv
Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
text, January 1999
- Epelbaum, E.; Glöckle, W.; Meißner, Ulf-G.
- arXiv
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- Krebs, H.; Epelbaum, E.; Meißner, U. -G.
- Few-Body Systems, Vol. 60, Issue 2
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journal, April 2017
- Simo, I. Ruiz; Amaro, J. E.; Barbaro, M. B.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 6
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journal, January 2020
- Acharya, Bijaya; Bacca, Sonia
- Physical Review C, Vol. 101, Issue 1
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journal, July 2018
- Golak, J.; Skibiński, R.; Topolnicki, K.
- Physical Review C, Vol. 98, Issue 1
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journal, August 2017
- Klos, P.; Carbone, A.; Hebeler, K.
- The European Physical Journal A, Vol. 53, Issue 8
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journal, May 2018
- Reinert, P.; Krebs, H.; Epelbaum, E.
- The European Physical Journal A, Vol. 54, Issue 5
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journal, November 2019
- Kronfeld, Andreas S.; Richards, David G.; Detmold, William
- The European Physical Journal A, Vol. 55, Issue 11
Chiral electroweak currents in nuclei
book, March 2017
- Riska, D. O.; Schiavilla, R.
- Quarks, Nuclei and Stars
Testing semi-local chiral two-nucleon interaction in selected electroweak processes
text, January 2016
- Skibinski, R.; Golak, J.; Topolnicki, K.
- arXiv
Tritium $β$-decay in chiral effective field theory
text, January 2016
- Baroni, A.; Girlanda, L.; Kievsky, A.
- arXiv
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text, January 2017
- Piarulli, M.; Baroni, A.; Girlanda, L.
- arXiv
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text, January 2018
- Binder, S.; Calci, A.; Epelbaum, E.
- arXiv
Momentum space treatment of inclusive neutrino scattering off the deuteron and trinucleons
text, January 2018
- Golak, J.; Skibinski, R.; Topolnicki, K.
- arXiv
Effective-field-theory predictions of the muon-deuteron capture rate
text, January 2018
- Acharya, Bijaya; Ekström, Andreas; Platter, Lucas
- arXiv
Lattice QCD and Neutrino-Nucleus Scattering
text, January 2019
- Kronfeld, Andreas S.; Richards, David G.; Detmold, William
- arXiv