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

Abstract

The magnetic form factors of 2H, 3H, 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 Δ intermediate states that have recently been constructed in configuration space. The A=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 Δ 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 currents are determined by reproducing the magnetic moments of these few-nucleon systems. The predicted form factors and deuteron electrodisintegration cross section are in excellent agreement with experiment for momentum transfers up to 2–3fm–1. 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 dipolemore » transition operator. In conclusion, a complete analysis of the results 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. 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., and Wiringa, R. B. Thu . "Local chiral interactions and magnetic structure of few-nucleon systems". United States. doi: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, 3H, 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 Δ intermediate states that have recently been constructed in configuration space. The A=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 Δ 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 currents are determined by reproducing the magnetic moments of these few-nucleon systems. The predicted form factors and deuteron electrodisintegration cross section are in excellent agreement with experiment for momentum transfers up to 2–3fm–1. 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. In conclusion, 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 = {2019},
month = {3}
}

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