Local chiral potentials with Δ-intermediate states and the structure of light nuclei

M. Piarulli, L. Girlanda, R. Schiavilla, A. Kievsky, A. Lovato, L. E. Marcucci, Steven C. Pieper, M. Viviani, and R. B. Wiringa
Phys. Rev. C 94, 054007 – Published 28 November 2016

Abstract

We present fully local versions of the minimally nonlocal nucleon-nucleon potentials constructed in a previous paper [Piarulli et al., Phys. Rev. C 91, 024003 (2015)], and use them in hypersperical harmonics and quantum Monte Carlo calculations of ground and excited states of H3, He3, He4, He6, and Li6 nuclei. The long-range part of these local potentials includes one- and two-pion exchange contributions without and with Δ isobars in the intermediate states up to order Q3 (Q denotes generically the low momentum scale) in the chiral expansion, while the short-range part consists of contact interactions up to order Q4. The low-energy constants multiplying these contact interactions are fitted to the 2013 Granada database in two different ranges of laboratory energies, either 0–125 MeV or 0–200 MeV, and to the deuteron binding energy and nn singlet scattering length. Fits to these data are performed for three models characterized by long- and short-range cutoffs, RL and RS, respectively, ranging from (RL,RS)=(1.2,0.8) fm down to (0.8,0.6) fm. The long-range (short-range) cutoff regularizes the one- and two-pion exchange (contact) part of the potential.

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  • Received 20 June 2016

DOI:https://doi.org/10.1103/PhysRevC.94.054007

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

M. Piarulli1, L. Girlanda2,3, R. Schiavilla4,5, A. Kievsky6, A. Lovato1, L. E. Marcucci6,7, Steven C. Pieper1, M. Viviani6, and R. B. Wiringa1

  • 1Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
  • 2Department of Mathematics and Physics, University of Salento, 73100 Lecce, Italy
  • 3INFN-Lecce, 73100 Lecce, Italy
  • 4Theory Center, Jefferson Laboratory, Newport News, Virginia 23606, USA
  • 5Department of Physics, Old Dominion University, Norfolk, Virginia 23529, USA
  • 6INFN-Pisa, 56127 Pisa, Italy
  • 7Department of Physics, University of Pisa, 56127 Pisa, Italy

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Issue

Vol. 94, Iss. 5 — November 2016

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