DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Local chiral interactions and magnetic structure of few-nucleon systems

Abstract

The magnetic form factors of 2H, 3 H, and 3He, deuteron photodisintegration cross sections at low energies, and deuteron threshold electrodisintegration cross sections at backward angles in a wide range of momentum transfers, are calculated with the chiral two-nucleon (and three-nucleon) interactions including intermediate states that have recently been constructed in configuration space. The = 3 wave functions are obtained from hyperspherical-harmonics solutions of the Schrödinger equation. The electromagnetic current includes one- and two-body terms, the latter induced by one- and two-pion exchange (OPE and TPE, respectively) mechanisms and contact interactions. The contributions associated with intermediate states are only retained at the OPE level, and are neglected in TPE loop (tree-level) corrections to two-body (three-body) current operators. Expressions for these currents are derived and regularized in configuration space for consistency with the interactions. The low-energy constants that enter the contact few-nucleon systems. The predicted form factors and deuteron electrodisintegration cross section are in excellent agreement with experiment for momentum transfers up to 2--3 fm . However, the experimental values for the deuteron photodisintegration cross section are consistently underestimated by theory, unless use is made of the Siegert form of the electric dipole transition operator. A complete analysis of the resultsmore » is provided, including the clarification of the origin of the aforementioned discrepancy.« less

Authors:
 [1];  [2];  [3];  [3];  [4];  [5];  [6];  [7];  [8];  [5];  [8]
  1. Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Univ. of South Carolina, Columbia, SC (United States)
  3. Washington Univ. in St. Louis, St. Louis, MO (United States)
  4. Univ. of Salento, Lecce (Italy); INFN-Lecce, Lecce (Italy)
  5. INFN-Pisa, Pisa (Italy)
  6. Argonne National Lab. (ANL), Argonne, IL (United States); INFN-TIFPA, Trento (Italy)
  7. Univ. of Pisa, Pisa (Italy); INFN-Pisa, Pisa (Italy)
  8. Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Michigan State Univ., East Lansing, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1504274
Alternate Identifier(s):
OSTI ID: 1502270; OSTI ID: 1505127; OSTI ID: 1542955; OSTI ID: 1607434
Report Number(s):
JLAB-THY-18-2807; arXiv:1809.10180; DOE/OR/23177-4541
Journal ID: ISSN 2469-9985; PRVCAN; 147415
Grant/Contract Number:  
AC02-06CH11357; AC05-06OR23177; SC0010300; SC0013617
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 99; Journal Issue: 3; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Schiavilla, R., Baroni, A., Pastore, S., Piarulli, M., Girlanda, L., Kievsky, A., Lovato, A., Marcucci, L. E., Pieper, Steven C., Viviani, M., and Wiringa, R. B. Local chiral interactions and magnetic structure of few-nucleon systems. United States: N. p., 2019. Web. doi:10.1103/PhysRevC.99.034005.
Schiavilla, R., Baroni, A., Pastore, S., Piarulli, M., Girlanda, L., Kievsky, A., Lovato, A., Marcucci, L. E., Pieper, Steven C., Viviani, M., & Wiringa, R. B. Local chiral interactions and magnetic structure of few-nucleon systems. United States. https://doi.org/10.1103/PhysRevC.99.034005
Schiavilla, R., Baroni, A., Pastore, S., Piarulli, M., Girlanda, L., Kievsky, A., Lovato, A., Marcucci, L. E., Pieper, Steven C., Viviani, M., and Wiringa, R. B. Thu . "Local chiral interactions and magnetic structure of few-nucleon systems". United States. https://doi.org/10.1103/PhysRevC.99.034005. https://www.osti.gov/servlets/purl/1504274.
@article{osti_1504274,
title = {Local chiral interactions and magnetic structure of few-nucleon systems},
author = {Schiavilla, R. and Baroni, A. and Pastore, S. and Piarulli, M. and Girlanda, L. and Kievsky, A. and Lovato, A. and Marcucci, L. E. and Pieper, Steven C. and Viviani, M. and Wiringa, R. B.},
abstractNote = {The magnetic form factors of 2H, 3 H, and 3He, deuteron photodisintegration cross sections at low energies, and deuteron threshold electrodisintegration cross sections at backward angles in a wide range of momentum transfers, are calculated with the chiral two-nucleon (and three-nucleon) interactions including intermediate states that have recently been constructed in configuration space. The = 3 wave functions are obtained from hyperspherical-harmonics solutions of the Schrödinger equation. The electromagnetic current includes one- and two-body terms, the latter induced by one- and two-pion exchange (OPE and TPE, respectively) mechanisms and contact interactions. The contributions associated with intermediate states are only retained at the OPE level, and are neglected in TPE loop (tree-level) corrections to two-body (three-body) current operators. Expressions for these currents are derived and regularized in configuration space for consistency with the interactions. The low-energy constants that enter the contact few-nucleon systems. The predicted form factors and deuteron electrodisintegration cross section are in excellent agreement with experiment for momentum transfers up to 2--3 fm . However, the experimental values for the deuteron photodisintegration cross section are consistently underestimated by theory, unless use is made of the Siegert form of the electric dipole transition operator. A complete analysis of the results is provided, including the clarification of the origin of the aforementioned discrepancy.},
doi = {10.1103/PhysRevC.99.034005},
journal = {Physical Review C},
number = 3,
volume = 99,
place = {United States},
year = {Thu Mar 21 00:00:00 EDT 2019},
month = {Thu Mar 21 00:00:00 EDT 2019}
}

Journal Article:

Citation Metrics:
Cited by: 21 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Deuteron threshold electrodisintegration at high momentum transfer
journal, October 1997


The Photodisintegration Cross Section of the Deuteron
journal, September 1951


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
  • DOI: 10.1103/PhysRevC.51.38

Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials
journal, November 2014


A Massive Pulsar in a Compact Relativistic Binary
journal, April 2013


Local chiral effective field theory interactions and quantum Monte Carlo applications
journal, November 2014


Threshold electrodisintegration and electromagnetic form factors of the deuteron
journal, February 1991


Measurements of transverse electron scattering from the deuteron in the threshold region at high momentum transfers
journal, April 1993


Chiral Effective Field Theory Predictions for Muon Capture on Deuteron and He 3
journal, January 2012


Photodisintegration of the Deuteron at some Intermediate Energies and the Neutron-Proton Effective Triplet Range
journal, January 1951

  • Carver, J. H.; Wilkinson, D. H.
  • Nature, Vol. 167, Issue 4239
  • DOI: 10.1038/167154a0

Parity-violating interaction effects in the n p system
journal, October 2004


Erratum: The Cross Section for Photo-Disintegration of the Deuteron at Low Energies
journal, February 1951


Light-Nuclei Spectra from Chiral Dynamics
journal, February 2018


Thermal Neutron Captures on d and He 3
journal, November 2010


Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term
journal, October 2018


Meson exchange currents in deuteron electro-disintegration
journal, December 1973


Chiral dynamics and heavy-fermion formalism in nuclei: exchange axial currents
journal, October 1993


How Low-Energy Weak Reactions Can Constrain Three-Nucleon Forces and the Neutron-Neutron Scattering Length
journal, June 2006


Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
journal, November 2017


Electromagnetic two-body currents of one- and two-pion range
journal, December 2008


Elastic e d scattering data and the deuteron wave function
journal, June 2002


Local chiral potentials with Δ -intermediate states and the structure of light nuclei
journal, November 2016


Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory
journal, October 2003


A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
journal, May 2008


Electromagnetic currents and magnetic moments in chiral effective field theory ( χ EFT )
journal, September 2009


Two-nucleon electromagnetic charge operator in chiral effective field theory ( χ EFT) up to one loop
journal, August 2011


Equation of State Calculations by Fast Computing Machines
journal, June 1953

  • Metropolis, Nicholas; Rosenbluth, Arianna W.; Rosenbluth, Marshall N.
  • The Journal of Chemical Physics, Vol. 21, Issue 6
  • DOI: 10.1063/1.1699114

Chiral Lagrangian approach to exchange vector currents in nuclei
journal, January 1996


Photo-Disintegration Cross Sections of Deuterium and Beryllium for the Gamma-Rays of Sodium 24 and Gallium 72
journal, November 1950

  • Snell, Arthur H.; Barker, E. C.; Sternberg, R. L.
  • Physical Review, Vol. 80, Issue 4
  • DOI: 10.1103/PhysRev.80.637

Electromagnetic N - Δ transition at high Q 2
journal, November 1986


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
  • DOI: 10.1006/aphy.2000.6059

Partial-wave analysis of nucleon-nucleon scattering below the pion-production threshold
journal, August 2013


Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including Δ resonances
journal, February 2015


Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- α Scattering, and Neutron Matter
journal, February 2016


Electron Scattering from the Deuteron at θ = 180 °
journal, March 1967


Chiral effective field theory and nuclear forces
journal, June 2011


Absolute total cross sections for deuteron photodisintegration between 7 and 19 MeV
journal, February 1992


Backward electron-deuteron scattering below 280 MeV
journal, January 1972


Low-energy analysis of the nucleon electromagnetic form factors
journal, January 2001


Erratum: Chiral Effective Field Theory Predictions for Muon Capture on Deuteron and He 3 [Phys. Rev. Lett. 108 , 052502 (2012)]
journal, July 2018


Two-nucleon electromagnetic current in chiral effective field theory: One-pion exchange and short-range contributions
journal, November 2011


Electromagnetic structure of trinucleons
journal, December 1998


Structure and dynamics of few-nucleon systems
journal, July 1998


Transverse electrodisintegration of the deuteron in the threshold region at high Q 2
journal, July 1990


Electromagnetic structure of few-nucleon ground states
journal, January 2016

  • Marcucci, L. E.; Gross, F.; Peña, M. T.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 2
  • DOI: 10.1088/0954-3899/43/2/023002

Is a Trineutron Resonance Lower in Energy than a Tetraneutron Resonance?
journal, June 2017


Erratum: Partial-wave analysis of nucleon-nucleon scattering below the pion-production threshold [Phys. Rev. C 88 , 024002 (2013)]
journal, December 2013


Electron-Induced Deuteron Disintegration at Threshold
journal, February 1981


Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
journal, September 2009


Three-nucleon forces from chiral effective field theory
journal, December 2002


The Cross Section for Photo-Disintegration of the Deuteron at Low Energies
journal, October 1950


Effects of Δ-isobar degrees of freedom on low-energy electroweak transitions in few-body nuclei
journal, June 1992

  • Schiavilla, R.; Wiringa, R. B.; Pandharipande, V. R.
  • Physical Review C, Vol. 45, Issue 6
  • DOI: 10.1103/PhysRevC.45.2628

Absolute cross section for the photodisintegration of deuterium
journal, December 1985


Inelastic electromagnetic form factors of the deuteron and exchange current effects
journal, July 1979


Electromagnetic structure of A = 2 and 3 nuclei in chiral effective field theory
journal, January 2013


Evidence for Nonnucleonic Effects in the Threshold Electrodisintegration of the Deuteron at High Momentum Transfer
journal, September 1985


H 2 ( γ , n ) absolute cross section at 2754 keV
journal, April 1989


A two-solar-mass neutron star measured using Shapiro delay
journal, October 2010

  • Demorest, P. B.; Pennucci, T.; Ransom, S. M.
  • Nature, Vol. 467, Issue 7319
  • DOI: 10.1038/nature09466

Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
journal, February 2016


Quantum Monte Carlo methods for nuclear physics
journal, September 2015


Magnetic Moments of Light Nuclei from Lattice Quantum Chromodynamics
journal, December 2014


Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
journal, October 2009


Induced polarization in the H 2 ( γ , n ) H 1 reaction at low energy
journal, September 2005


Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
journal, July 2013


Nuclear forces with Δ excitations up to next-to-next-to-leading order, part I: Peripheral nucleon-nucleon waves
journal, May 2007


Works referencing / citing this record: