Electromagnetic radii of light nuclei from variational Monte Carlo calculations

King, G. B.; Chambers-Wall, G.; Gnech, A.; Pastore, S.; Piarulli, M.; Wiringa, R. B.

doi:10.1103/w8kj-p8bv

Electromagnetic radii of light nuclei from variational Monte Carlo calculations

Journal Article · Wed Oct 29 04:00:00 EDT 2025 · Physical Review. C

DOI:https://doi.org/10.1103/w8kj-p8bv· OSTI ID:3000826

^[1]; ^[2]; ^[3]; ^[2]; Piarulli, M. ^[2]; ^[4]

Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Washington Univ., St. Louis, MO (United States)
Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Argonne National Lab., Idaho Falls, ID (United States)

We present variational Monte Carlo calculations of charge and magnetic radii in 𝐴 ≤ 10 nuclei. The calculations are based on the Norfolk two- and three-nucleon interactions, and associated one- and two-nucleon electromagnetic charge and current operators derived up to next-to-next-to-next-to-leading order in the chiral expansion. The charge and magnetic radii are extracted from the respective form factors. We find that the charge radii are within 5% of the experimental values for the nuclei considered. For the magnetic radii, a comparison is available only with ³H and ³⁢He electron scattering data that are affected by large error bars. We hope that our predictions foster an interest in precisely measuring magnetic radii of heavier systems.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: SC0021027; AC02-06CH11357; AC05-06OR23177; SC0022002; NA0003960; SC0023663; AC02-05CH11231; SC0013617

OSTI ID:: 3000826

Report Number(s):: JLAB-THY--25-4271; arXiv:2504.04201; DOE/OR/23177--7831

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 4 Vol. 112; ISSN 2469-9985; ISSN 2469-9993

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (59)

Nuclear Electromagnetic Currents to Fourth Order in Chiral Effective Field Theory Krebs, H.; Epelbaum, E.; Meißner, U. -G. Few-Body Systems, Vol. 60, Issue 2 https://doi.org/10.1007/s00601-019-1500-5	journal	May 2019
Nuclear charge radii of 12C and 9Be Jansen, J. A.; Peerdeman, R. Th.; De Vries, C. Nuclear Physics A, Vol. 188, Issue 2 https://doi.org/10.1016/0375-9474(72)90062-0	journal	June 1972
3H and 3He electromagnetic form factors Amroun, A.; Breton, V.; Cavedon, J. -M. Nuclear Physics A, Vol. 579, Issue 3-4 https://doi.org/10.1016/0375-9474(94)90925-3	journal	October 1994
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
Elastic electron–deuteron scattering in chiral effective field theory Walzl, Markus; Meißner, Ulf-G. Physics Letters B, Vol. 513, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)00727-4	journal	July 2001
Higher-order calculations of electron–deuteron scattering in nuclear effective theory Phillips, Daniel R. Physics Letters B, Vol. 567, Issue 1-2 https://doi.org/10.1016/S0370-2693(03)00867-0	journal	August 2003
Nuclear axial current operators to fourth order in chiral effective field theory Krebs, H.; Epelbaum, E.; Meißner, U. -G. Annals of Physics, Vol. 378 https://doi.org/10.1016/j.aop.2017.01.021	journal	March 2017
Commissioning of the collinear laser spectroscopy system in the BECOLA facility at NSCL Minamisono, K.; Mantica, P. F.; Klose, A. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 709 https://doi.org/10.1016/j.nima.2013.01.038	journal	May 2013
Emulators for scarce and noisy data: Application to auxiliary field diffusion Monte Carlo for the deuteron Somasundaram, Rahul; Armstrong, Cassandra L.; Giuliani, Pablo Physics Letters B, Vol. 866 https://doi.org/10.1016/j.physletb.2025.139558	journal	July 2025
A small proton charge radius from an electron–proton scattering experiment Xiong, W.; Gasparian, A.; Gao, H. Nature, Vol. 575, Issue 7781 https://doi.org/10.1038/s41586-019-1721-2	journal	November 2019
Measuring the α-particle charge radius with muonic helium-4 ions Krauth, Julian J.; Schuhmann, Karsten; Ahmed, Marwan Abdou Nature, Vol. 589, Issue 7843 https://doi.org/10.1038/s41586-021-03183-1	journal	January 2021
Precision spectroscopy on 9Be overcomes limitations from nuclear structure Dickopf, Stefan; Sikora, Bastian; Kaiser, Annabelle Nature, Vol. 632, Issue 8026 https://doi.org/10.1038/s41586-024-07795-1	journal	August 2024
The AMBER Experiment at CERN Friedrich, Jan M. EPJ Web of Conferences, Vol. 303 https://doi.org/10.1051/epjconf/202430306001	journal	January 2024
Chiral effective theory predictions for deuteron form factor ratios at low Q ² Phillips, Daniel R. Journal of Physics G: Nuclear and Particle Physics, Vol. 34, Issue 2 https://doi.org/10.1088/0954-3899/34/2/015	journal	January 2007
Scientific Opportunities at the ARIEL Electron Linac Bernauer, Jan; Corliss, Ross; Gardner, Susan Journal of Physics: Conference Series, Vol. 2391, Issue 1 https://doi.org/10.1088/1742-6596/2391/1/012001	journal	December 2022
Low-energy electron scattering facilities in Japan Suda, Toshimi Journal of Physics: Conference Series, Vol. 2391, Issue 1 https://doi.org/10.1088/1742-6596/2391/1/012004	journal	December 2022
Moments of the Charge Distribution Observed through Electron Scattering in 3H and 3He Hiyama, Emiko; Suzuki, Toshio Progress of Theoretical and Experimental Physics, Vol. 2024, Issue 8 https://doi.org/10.1093/ptep/ptae126	journal	August 2024
High-precision ab initio radius calculations of boron isotopes Wolfgruber, T.; Gesser, T.; Knöll, M. Physical Review C, Vol. 112, Issue 1 https://doi.org/10.1103/8mfb-wc36	journal	July 2025
Emulators for Scarce and Noisy Data: Application to Auxiliary-Field Diffusion Monte Carlo for Neutron Matter Armstrong, Cassandra L.; Giuliani, Pablo; Godbey, Kyle Physical Review Letters, Vol. 135, Issue 14 https://doi.org/10.1103/9928-wyjm	journal	October 2025
High-accuracy calculation of the deuteron charge and quadrupole form factors in chiral effective field theory Filin, A. A.; Möller, D.; Baru, V. Physical Review C, Vol. 103, Issue 2 https://doi.org/10.1103/PhysRevC.103.024313	journal	February 2021
Magnetic structure of few-nucleon systems at high momentum transfers in a chiral effective field theory approach Gnech, A.; Schiavilla, R. Physical Review C, Vol. 106, Issue 4 https://doi.org/10.1103/PhysRevC.106.044001	journal	October 2022
Low- Q2 elastic electron-proton scattering using a gas jet target Wang, Y.; Bernauer, J. C.; Schlimme, B. S. Physical Review C, Vol. 106, Issue 4 https://doi.org/10.1103/PhysRevC.106.044610	journal	October 2022
Maximally local two-nucleon interactions at N3LO in Δ -less chiral effective field theory Somasundaram, R.; Lynn, J. E.; Huth, L. Physical Review C, Vol. 109, Issue 3 https://doi.org/10.1103/PhysRevC.109.034005	journal	March 2024
Magnetic structure of A≤10 nuclei using the Norfolk nuclear models with quantum Monte Carlo methods Chambers-Wall, G.; Gnech, A.; King, G. B. Physical Review C, Vol. 110, Issue 5 https://doi.org/10.1103/PhysRevC.110.054316	journal	November 2024
Longitudinal form factors of A≤10 nuclei in a chiral effective field theory approach King, G. B.; Chambers-Wall, G.; Gnech, A. Physical Review C, Vol. 110, Issue 5 https://doi.org/10.1103/PhysRevC.110.054325	journal	November 2024
Bayesian analysis of nucleon-nucleon scattering data in pionless effective field theory Bub, J. M.; Piarulli, M.; Furnstahl, R. J. Physical Review C, Vol. 111, Issue 3 https://doi.org/10.1103/PhysRevC.111.034005	journal	March 2025
Variational calculations of few-body nuclei Wiringa, R. B. Physical Review C, Vol. 43, Issue 4 https://doi.org/10.1103/PhysRevC.43.1585	journal	April 1991
Electron scattering from B 10 Cichocki, A.; Dubach, J.; Hicks, R. S. Physical Review C, Vol. 51, Issue 5 https://doi.org/10.1103/PhysRevC.51.2406	journal	May 1995
Quantum Monte Carlo calculations of nuclei with A <~ 7 Pudliner, B. S.; Pandharipande, V. R.; Carlson, J. Physical Review C, Vol. 56, Issue 4 https://doi.org/10.1103/PhysRevC.56.1720	journal	October 1997
Simple parametrization of nucleon form factors Kelly, J. J. Physical Review C, Vol. 70, Issue 6 https://doi.org/10.1103/PhysRevC.70.068202	journal	December 2004
Precise root-mean-square radius of He 4 Sick, Ingo Physical Review C, Vol. 77, Issue 4 https://doi.org/10.1103/PhysRevC.77.041302	journal	April 2008
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
Charge radii and ground state structure of lithium isotopes: Experiment and theory reexamined Nörtershäuser, W.; Neff, T.; Sánchez, R. Physical Review C, Vol. 84, Issue 2 https://doi.org/10.1103/PhysRevC.84.024307	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
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
Quantum Monte Carlo calculations of electromagnetic moments and transitions in A ≤ 9 nuclei with meson-exchange currents derived from chiral effective field theory Pastore, S.; Pieper, Steven C.; Schiavilla, R. Physical Review C, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevC.87.035503	journal	March 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
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
Zemach moments and radii of H 2 , 3 and He 3 , 4 Nevo Dinur, N.; Hernandez, O. J.; Bacca, S. Physical Review C, Vol. 99, Issue 3 https://doi.org/10.1103/PhysRevC.99.034004	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
Nuclear Charge Radii of Be 7 , 9 , 10 and the One-Neutron Halo Nucleus Be 11 Nörtershäuser, W.; Tiedemann, D.; Žáková, M. Physical Review Letters, Vol. 102, Issue 6 https://doi.org/10.1103/PhysRevLett.102.062503	journal	February 2009
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
Nuclear Charge Radii of B 10 , 11 Maaß, Bernhard; Hüther, Thomas; König, Kristian Physical Review Letters, Vol. 122, Issue 18 https://doi.org/10.1103/PhysRevLett.122.182501	journal	May 2019
Extraction of the Neutron Charge Radius from a Precision Calculation of the Deuteron Structure Radius Filin, A. A.; Baru, V.; Epelbaum, E. Physical Review Letters, Vol. 124, Issue 8 https://doi.org/10.1103/PhysRevLett.124.082501	journal	February 2020
First Observation of Electron Scattering from Online-Produced Radioactive Target Tsukada, K.; Abe, Y.; Enokizono, A. Physical Review Letters, Vol. 131, Issue 9 https://doi.org/10.1103/PhysRevLett.131.092502	journal	August 2023
Quantum Monte Carlo Calculations of Magnetic Form Factors in Light Nuclei Chambers-Wall, G.; Gnech, A.; King, G. B. Physical Review Letters, Vol. 133, Issue 21 https://doi.org/10.1103/PhysRevLett.133.212501	journal	November 2024
Ab Initio Study of the Beryllium Isotopes Be7 to Be12 Shen, Shihang; Elhatisari, Serdar; Lee, Dean Physical Review Letters, Vol. 134, Issue 16 https://doi.org/10.1103/PhysRevLett.134.162503	journal	April 2025
Three-Nucleon Charge Radius: A Precise Laser Determination Using 3 He Shiner, D.; Dixson, R.; Vedantham, V. Physical Review Letters, Vol. 74, Issue 18 https://doi.org/10.1103/PhysRevLett.74.3553	journal	May 1995
Structure and dynamics of few-nucleon systems Carlson, J.; Schiavilla, R. Reviews of Modern Physics, Vol. 70, Issue 3 https://doi.org/10.1103/RevModPhys.70.743	journal	July 1998
Colloquium : Laser probing of neutron-rich nuclei in light atoms Lu, Z. -T.; Mueller, P.; Drake, G. W. F. Reviews of Modern Physics, Vol. 85, Issue 4 https://doi.org/10.1103/RevModPhys.85.1383	journal	October 2013
Quantum Monte Carlo methods for nuclear physics Carlson, J.; Gandolfi, S.; Pederiva, F. Reviews of Modern Physics, Vol. 87, Issue 3 https://doi.org/10.1103/RevModPhys.87.1067	journal	September 2015
MUSE: The MUon Scattering Experiment Cline, Ethan; Bernauer, Jan; Downie, Evangeline J. SciPost Physics Proceedings, Issue 5 https://doi.org/10.21468/SciPostPhysProc.5.023	journal	January 2021
Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory Piarulli, Maria; Tews, Ingo Frontiers in Physics, Vol. 7 https://doi.org/10.3389/fphy.2019.00245	journal	January 2020
Atomic Nuclei From Quantum Monte Carlo Calculations With Chiral EFT Interactions Gandolfi, Stefano; Lonardoni, Diego; Lovato, Alessandro Frontiers in Physics, Vol. 8 https://doi.org/10.3389/fphy.2020.00117	journal	April 2020
Towards Precision Muonic X-ray Measurements of Charge Radii of Light Nuclei Ohayon, Ben; Abeln, Andreas; Bara, Silvia Physics, Vol. 6, Issue 1 https://doi.org/10.3390/physics6010015	journal	February 2024

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