Magnetic structure of few-nucleon systems at high momentum transfers in a chiral effective field theory approach

Gnech, A.; Schiavilla, R.

doi:10.1103/physrevc.106.044001

Magnetic structure of few-nucleon systems at high momentum transfers in a chiral effective field theory approach

Journal Article · Fri Oct 07 00:00:00 EDT 2022 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.106.044001· OSTI ID:1891473

^[1]; Schiavilla, R. ^[2]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)

The five low-energy constants (LECs) in the electromagnetic current derived in chiral effective field theory ( χ EFT ) up to one loop are determined by a simultaneous fit to the A = 2 – 3 nuclei magnetic moments and to the deuteron magnetic form factor and threshold electrodisintegration at backward angles over a wide range of momentum transfers. The resulting parametrization then yields predictions for the ³He/³H magnetic form factors in excellent accord with the experimental values for momentum transfers ranging up to ≈0.8 GeV/c, beyond the expected regime of validity of the χEFT approach. The calculations are based on last-generation two-nucleon interactions including high orders in the chiral expansion and derived by Entem, Machleidt, and Nosyk [Phys. Rev. C 96, 024004 (2017)] and by Piarulli et al. [Phys. Rev. C 94, 054007 (2016)], using different χEFT formulations. In the A = 3 calculations, (chiral) three-nucleon interactions are also accounted for. The model dependence resulting from these different formulations of the interactions is found to be mild for momentum transfer below ≈0.8 GeV/c . Further, an analysis of the convergence of the chiral expansion is also provided.

View Accepted Manuscript (DOE)

Research Organization:: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1891473

Report Number(s):: DOE/OR/23177-5540; JLAB-THY-22-3661; arXiv:2207.05528

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 4 Vol. 106; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (30)

Backward electron-deuteron scattering below 280 MeV Ganichot, D.; Grossetête, B.; Isabelle, D. B. Nuclear Physics A, Vol. 178, Issue 2 https://doi.org/10.1016/0375-9474(72)90480-0	journal	January 1972
Chiral Lagrangian approach to exchange vector currents in nuclei Park, Tae-Sun; Min, Dong-Pil; Rho, Mannque Nuclear Physics A, Vol. 596, Issue 3-4 https://doi.org/10.1016/0375-9474(95)00406-8	journal	January 1996
Low-energy analysis of the nucleon electromagnetic form factors Kubis, Bastian; Meißner, Ulf-G. Nuclear Physics A, Vol. 679, Issue 3-4 https://doi.org/10.1016/S0375-9474(00)00378-X	journal	January 2001
A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states Kievsky, A.; Rosati, S.; Viviani, M. Journal of Physics G: Nuclear and Particle Physics, Vol. 35, Issue 6 https://doi.org/10.1088/0954-3899/35/6/063101	journal	May 2008
Quantifying correlated truncation errors in effective field theory Melendez, J. A.; Furnstahl, R. J.; Phillips, D. R. Physical Review C, Vol. 100, Issue 4 https://doi.org/10.1103/PhysRevC.100.044001	journal	October 2019
Chiral effective field theory calculations of weak transitions in light nuclei King, G. B.; Andreoli, L.; Pastore, S. Physical Review C, Vol. 102, Issue 2 https://doi.org/10.1103/PhysRevC.102.025501	journal	August 2020
Magnetic form factors of the trinucleons Schiavilla, R.; Pandharipande, V. R.; Riska, D. O. Physical Review C, Vol. 40, Issue 5 https://doi.org/10.1103/PhysRevC.40.2294	journal	November 1989
Threshold electrodisintegration and electromagnetic form factors of the deuteron Schiavilla, R.; Riska, D. O. Physical Review C, Vol. 43, Issue 2 https://doi.org/10.1103/PhysRevC.43.437	journal	February 1991
Femtometer toroidal structures in nuclei Forest, J. L.; Pandharipande, V. R.; Pieper, Steven C. Physical Review C, Vol. 54, Issue 2 https://doi.org/10.1103/PhysRevC.54.646	journal	August 1996
Deuteron threshold electrodisintegration at high momentum transfer Schmitt, W. M.; Turchinetz, W.; Williamson, C. F. Physical Review C, Vol. 56, Issue 4 https://doi.org/10.1103/PhysRevC.56.1687	journal	October 1997
Electromagnetic two-body currents of one- and two-pion range Pastore, S.; Schiavilla, R.; Goity, J. L. Physical Review C, Vol. 78, Issue 6 https://doi.org/10.1103/PhysRevC.78.064002	journal	December 2008
Electromagnetic currents and magnetic moments in chiral effective field theory ( χ EFT ) Pastore, S.; Girlanda, L.; Schiavilla, R. Physical Review C, Vol. 80, Issue 3 https://doi.org/10.1103/PhysRevC.80.034004	journal	September 2009
Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation Kölling, S.; Epelbaum, E.; Krebs, H. Physical Review C, Vol. 80, Issue 4 https://doi.org/10.1103/PhysRevC.80.045502	journal	October 2009
Two-nucleon electromagnetic charge operator in chiral effective field theory ( χ EFT) up to one loop Pastore, S.; Girlanda, L.; Schiavilla, R. Physical Review C, Vol. 84, Issue 2 https://doi.org/10.1103/PhysRevC.84.024001	journal	August 2011
Two-nucleon electromagnetic current in chiral effective field theory: One-pion exchange and short-range contributions Kölling, S.; Epelbaum, E.; Krebs, H. Physical Review C, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevC.84.054008	journal	November 2011
Magnetic form factor of the deuteron in chiral effective field theory Kölling, S.; Epelbaum, E.; Phillips, D. R. Physical Review C, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevC.86.047001	journal	October 2012
Electromagnetic structure of A = 2 and 3 nuclei in chiral effective field theory Piarulli, M.; Girlanda, L.; Marcucci, L. E. Physical Review C, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevC.87.014006	journal	January 2013
Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including Δ resonances Piarulli, M.; Girlanda, L.; Schiavilla, R. Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevC.91.024003	journal	February 2015
Local chiral potentials with Δ -intermediate states and the structure of light nuclei Piarulli, M.; Girlanda, L.; Schiavilla, R. Physical Review C, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevC.94.054007	journal	November 2016
High-quality two-nucleon potentials up to fifth order of the chiral expansion Entem, D. R.; Machleidt, R.; Nosyk, Y. Physical Review C, Vol. 96, Issue 2 https://doi.org/10.1103/PhysRevC.96.024004	journal	August 2017
Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term Baroni, A.; Schiavilla, R.; Marcucci, L. E. Physical Review C, Vol. 98, Issue 4 https://doi.org/10.1103/PhysRevC.98.044003	journal	October 2018
Momentum distributions and short-range correlations in the deuteron and He 3 with modern chiral potentials Marcucci, Laura Elisa; Sammarruca, Francesca; Viviani, Michele Physical Review C, Vol. 99, Issue 3 https://doi.org/10.1103/PhysRevC.99.034003	journal	March 2019
Local chiral interactions and magnetic structure of few-nucleon systems Schiavilla, R.; Baroni, A.; Pastore, S. Physical Review C, Vol. 99, Issue 3 https://doi.org/10.1103/PhysRevC.99.034005	journal	March 2019
Electromagnetic N - Δ transition at high Q 2 Carlson, Carl E. Physical Review D, Vol. 34, Issue 9 https://doi.org/10.1103/PhysRevD.34.2704	journal	November 1986
Light-Nuclei Spectra from Chiral Dynamics Piarulli, M.; Baroni, A.; Girlanda, L. Physical Review Letters, Vol. 120, Issue 5 https://doi.org/10.1103/PhysRevLett.120.052503	journal	February 2018
Electron Scattering from the Deuteron at θ = 180 ° Rand, R. E.; Frosch, R. F.; Littig, C. E. Physical Review Letters, Vol. 18, Issue 12 https://doi.org/10.1103/PhysRevLett.18.469	journal	March 1967
Electron-Induced Deuteron Disintegration at Threshold Bernheim, M.; Jans, E.; Mougey, J. Physical Review Letters, Vol. 46, Issue 6 https://doi.org/10.1103/PhysRevLett.46.402	journal	February 1981
Evidence for Nonnucleonic Effects in the Threshold Electrodisintegration of the Deuteron at High Momentum Transfer Auffret, S.; Cavedon, J. -M.; Clemens, J. -C. Physical Review Letters, Vol. 55, Issue 13 https://doi.org/10.1103/PhysRevLett.55.1362	journal	September 1985
Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order Epelbaum, E.; Krebs, H.; Meißner, U. -G. The European Physical Journal A, Vol. 51, Issue 5 https://doi.org/10.1140/epja/i2015-15053-8	journal	May 2015
The Hyperspherical Harmonics Method: A Tool for Testing and Improving Nuclear Interaction Models Marcucci, Laura E.; Dohet-Eraly, Jérémy; Girlanda, Luca Frontiers in Physics, Vol. 8 https://doi.org/10.3389/fphy.2020.00069	journal	April 2020

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