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Magnetic moments of A = 3 nuclei obtained from chiral effective field theory operators
Abstract
Chiral effective field theory (χEFT) provides a framework for obtaining internucleon interactions in a systematically improvable fashion from first principles, while also providing for the derivation of consistent electroweak current operators. In this study, we apply consistently derived interactions and currents towards calculating the magnetic dipole moments of the A = 3 systems 3H and 3He. We focus here on LENPIC interactions obtained using semilocal coordinate-space (SCS) regularization. Starting from the momentum-space representation of the LENPIC χEFT vector current, we derive the SCS-regularized magnetic dipole operator up through next-to-next-to-leading order (N2LO). We then carry out no-core shell-model calculations for 3H and 3He systems using the SCS LENPIC interaction at N2LO in χEFT and evaluate the magnetic dipole moments obtained using the consistently derived one-nucleon and two-nucleon electromagnetic currents. As anticipated by prior results with χEFT currents, the current corrections through N2LO provide improved, but not yet complete, agreement with experiment for the 3H and 3He magnetic dipole moments.
- Authors:
-
[2];
[3];
[2];
[4];
- Iowa State University, Ames, IA (United States); University of Arizona, Tucson, AZ (United States)
- Iowa State University, Ames, IA (United States)
- University of Notre Dame, IN (United States); Argonne National Laboratory (ANL), Argonne, IL (United States)
- University of Notre Dame, IN (United States)
- Publication Date:
- Research Org.:
- Iowa State Univ., Ames, IA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)
- OSTI Identifier:
- 2278930
- Grant/Contract Number:
- FG02-87ER40371; SC0018223; SC0023495; SC0023692; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. C
- Additional Journal Information:
- Journal Volume: 108; Journal Issue: 2; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Chiral Effective Field Theory; Nuclear interactions; Electromagnetic interactions; Few-body systems; Nuclear many-body theory; Nucleon-nucleon interactions; Spectroscopic factors & electromagnetic moments; A ≤ 5
Citation Formats
Pal, Soham, Sarker, Shiplu, Fasano, Patrick J., Maris, Pieter, Vary, James P., Caprio, Mark A., and Basili, Robert A. M. Magnetic moments of A=3 nuclei obtained from chiral effective field theory operators. United States: N. p., 2023.
Web. doi:10.1103/physrevc.108.024001.
Pal, Soham, Sarker, Shiplu, Fasano, Patrick J., Maris, Pieter, Vary, James P., Caprio, Mark A., & Basili, Robert A. M. Magnetic moments of A=3 nuclei obtained from chiral effective field theory operators. United States. https://doi.org/10.1103/physrevc.108.024001
Pal, Soham, Sarker, Shiplu, Fasano, Patrick J., Maris, Pieter, Vary, James P., Caprio, Mark A., and Basili, Robert A. M. Wed .
"Magnetic moments of A=3 nuclei obtained from chiral effective field theory operators". United States. https://doi.org/10.1103/physrevc.108.024001.
@article{osti_2278930,
title = {Magnetic moments of A=3 nuclei obtained from chiral effective field theory operators},
author = {Pal, Soham and Sarker, Shiplu and Fasano, Patrick J. and Maris, Pieter and Vary, James P. and Caprio, Mark A. and Basili, Robert A. M.},
abstractNote = {Chiral effective field theory (χEFT) provides a framework for obtaining internucleon interactions in a systematically improvable fashion from first principles, while also providing for the derivation of consistent electroweak current operators. In this study, we apply consistently derived interactions and currents towards calculating the magnetic dipole moments of the A = 3 systems 3H and 3He. We focus here on LENPIC interactions obtained using semilocal coordinate-space (SCS) regularization. Starting from the momentum-space representation of the LENPIC χEFT vector current, we derive the SCS-regularized magnetic dipole operator up through next-to-next-to-leading order (N2LO). We then carry out no-core shell-model calculations for 3H and 3He systems using the SCS LENPIC interaction at N2LO in χEFT and evaluate the magnetic dipole moments obtained using the consistently derived one-nucleon and two-nucleon electromagnetic currents. As anticipated by prior results with χEFT currents, the current corrections through N2LO provide improved, but not yet complete, agreement with experiment for the 3H and 3He magnetic dipole moments.},
doi = {10.1103/physrevc.108.024001},
journal = {Physical Review. C},
number = 2,
volume = 108,
place = {United States},
year = {Wed Aug 02 00:00:00 EDT 2023},
month = {Wed Aug 02 00:00:00 EDT 2023}
}
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Works referenced in this record:
Nuclear forces from chiral lagrangians
journal, November 1990
- Weinberg, Steven
- Physics Letters B, Vol. 251, Issue 2
Chiral lagrangians and nuclear forces
journal, October 1992
- Ordóñez, C.; van Kolck, U.
- Physics Letters B, Vol. 291, Issue 4
Nucleon-nucleon potential from an effective chiral Lagrangian
journal, March 1994
- Ordóñez, C.; Ray, L.; van Kolck, U.
- Physical Review Letters, Vol. 72, Issue 13
Nuclear currents in chiral effective field theory
journal, September 2020
- Krebs, Hermann
- The European Physical Journal A, Vol. 56, Issue 9
Pion-exchange contributions to the nuclear charge, current, and Hamiltonian operators
journal, April 1977
- Friar, James L.
- Annals of Physics, Vol. 104, Issue 2
Retardation, quasipotential equations, and relativistic corrections to the deuteron charge operator
journal, August 1980
- Friar, J. L.
- Physical Review C, Vol. 22, Issue 2
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
Effective field theory for nuclei: Confronting fundamental questions in astrophysics
journal, March 2001
- Park, T. -S.; Kubodeera, K.; Min, D. -P.
- Nuclear Physics A, Vol. 684, Issue 1-4
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
Effective field theory approach for the M1 properties of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math> and 3 nuclei
journal, November 2007
- Song, Young-Ho; Lazauskas, Rimantas; Park, Tae-Sun
- Physics Letters B, Vol. 656, Issue 4-5
Does the 3 N force have a hard core?
journal, April 1996
- Eden, J. A.; Gari, M. F.
- Physical Review C, Vol. 53, Issue 4
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 chiral potentials with -intermediate states and the structure of light nuclei
journal, November 2016
- Piarulli, M.; Girlanda, L.; Schiavilla, R.
- Physical Review C, Vol. 94, Issue 5
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
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
Precision Nucleon-Nucleon Potential at Fifth Order in the Chiral Expansion
journal, September 2015
- Epelbaum, E.; Krebs, H.; Meißner, U. -G.
- Physical Review Letters, Vol. 115, Issue 12
Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
journal, May 2015
- Epelbaum, E.; Krebs, H.; Meißner, U. -G.
- The European Physical Journal A, Vol. 51, Issue 5
Precision Determination of Pion-Nucleon Coupling Constants Using Effective Field Theory
journal, March 2021
- Reinert, P.; Krebs, H.; Epelbaum, E.
- Physical Review Letters, Vol. 126, Issue 9
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
Up to heavy-baryon chiral perturbation theory calculation for the properties of three-nucleon systems
journal, June 2009
- Song, Young-Ho; Lazauskas, Rimantas; Park, Tae-Sun
- Physical Review C, Vol. 79, Issue 6
Quantum Monte Carlo calculations of electromagnetic moments and transitions in nuclei with meson-exchange currents derived from chiral effective field theory
journal, March 2013
- Pastore, S.; Pieper, Steven C.; Schiavilla, R.
- Physical Review C, Vol. 87, Issue 3
Local chiral interactions and magnetic structure of few-nucleon systems
journal, March 2019
- Schiavilla, R.; Baroni, A.; Pastore, S.
- Physical Review C, Vol. 99, Issue 3
Ab initio no core shell model
journal, March 2013
- Barrett, Bruce R.; Navrátil, Petr; Vary, James P.
- Progress in Particle and Nuclear Physics, Vol. 69
Renormalization of Hamiltonians
journal, December 1993
- Głazek, Stanisław D.; Wilson, Kenneth G.
- Physical Review D, Vol. 48, Issue 12
Perturbative renormalization group for Hamiltonians
journal, April 1994
- Glazek, Stanislaw D.; Wilson, Kenneth G.
- Physical Review D, Vol. 49, Issue 8
Flow-equations for Hamiltonians
journal, January 1994
- Wegner, Franz
- Annalen der Physik, Vol. 506, Issue 2
Nuclear Electromagnetic Currents to Fourth Order in Chiral Effective Field Theory
journal, May 2019
- Krebs, H.; Epelbaum, E.; Meißner, U. -G.
- Few-Body Systems, Vol. 60, Issue 2
Nuclear axial current operators to fourth order in chiral effective field theory
journal, March 2017
- Krebs, H.; Epelbaum, E.; Meißner, U. -G.
- Annals of Physics, Vol. 378
Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces
journal, February 2019
- Epelbaum, E.; Golak, J.; Hebeler, K.
- Physical Review C, Vol. 99, Issue 2
Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces
journal, April 2016
- Binder, S.; Calci, A.; Epelbaum, E.
- Physical Review C, Vol. 93, Issue 4
Few-nucleon and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces
journal, July 2018
- Binder, S.; Calci, A.; Epelbaum, E.
- Physical Review C, Vol. 98, Issue 1
Regularization, renormalization and “peratization” in effective field theory for two nucleons
journal, July 2009
- Epelbaum, E.; Gegelia, J.
- The European Physical Journal A, Vol. 41, Issue 3
Chiral effective field theory and nuclear forces
journal, June 2011
- Machleidt, R.; Entem, D. R.
- Physics Reports, Vol. 503, Issue 1
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
Structure and dynamics of few-nucleon systems
journal, July 1998
- Carlson, J.; Schiavilla, R.
- Reviews of Modern Physics, Vol. 70, Issue 3
Effective operators in two-nucleon systems
journal, December 2018
- Vary, James P.; Basili, Robert; Du, Weijie
- Physical Review C, Vol. 98, Issue 6
Intrinsic operators for the translationally-invariant many-body problem
journal, November 2020
- Caprio, Mark A.; McCoy, Anna E.; Fasano, Patrick J.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 47, Issue 12
Scaling of ab-initio nuclear physics calculations on multicore computer architectures
journal, May 2010
- Maris, Pieter; Sosonkina, Masha; Vary, James P.
- Procedia Computer Science, Vol. 1, Issue 1
Accelerating nuclear configuration interaction calculations through a preconditioned block iterative eigensolver
journal, January 2018
- Shao, Meiyue; Aktulga, H. Metin; Yang, Chao
- Computer Physics Communications, Vol. 222
Quantum Theory of Angular Momentum
book, October 1988
- Varshalovich, D. A.; Moskalev, A. N.; Khersonskii, V. K.
No Core CI calculations for light nuclei with chiral 2- and 3-body forces
journal, August 2013
- Maris, Pieter; Aktulga, H. Metin; Binder, Sven
- Journal of Physics: Conference Series, Vol. 454
Similarity renormalization group for nucleon-nucleon interactions
journal, June 2007
- Bogner, S. K.; Furnstahl, R. J.; Perry, R. J.
- Physical Review C, Vol. 75, Issue 6
Convergence in the no-core shell model with low-momentum two-nucleon interactions
journal, March 2008
- Bogner, S. K.; Furnstahl, R. J.; Maris, P.
- Nuclear Physics A, Vol. 801, Issue 1-2
Evolving nuclear many-body forces with the similarity renormalization group
journal, March 2011
- Jurgenson, E. D.; Navrátil, P.; Furnstahl, R. J.
- Physical Review C, Vol. 83, Issue 3
Structure of -shell nuclei using three-nucleon interactions evolved with the similarity renormalization group
journal, May 2013
- Jurgenson, E. D.; Maris, P.; Furnstahl, R. J.
- Physical Review C, Vol. 87, Issue 5
Nuclear Data Sheets for A = 3
journal, December 2015
- Purcell, J. E.; Sheu, C. G.
- Nuclear Data Sheets, Vol. 130
Nonlocality in the nucleon-nucleon interaction and three-nucleon bound states
journal, June 2003
- Doleschall, P.; Borbély, I.; Papp, Z.
- Physical Review C, Vol. 67, Issue 6
Accurate nucleon-nucleon potential with charge-independence breaking
journal, January 1995
- Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R.
- Physical Review C, Vol. 51, Issue 1
Realistic models of pion-exchange three-nucleon interactions
journal, June 2001
- Pieper, Steven C.; Pandharipande, V. R.; Wiringa, R. B.
- Physical Review C, Vol. 64, Issue 1
Quantum Monte Carlo methods for nuclear physics
journal, September 2015
- Carlson, J.; Gandolfi, S.; Pederiva, F.
- Reviews of Modern Physics, Vol. 87, 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
Electromagnetic meson exchange currents
journal, January 1984
- Olof Riska, Dan
- Progress in Particle and Nuclear Physics, Vol. 11
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