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

In this paper, 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 $^3$H, $^3$He, $^4$He, $^6$He, and $^6$Li nuclei. The long-range part of these local potentials includes one- and two-pion exchange contributions without and with $$\Delta$$-isobars in the intermediate states up to order $Q^3$ ($Q$ denotes generically the low momentum scale) in the chiral expansion, while the short-range part consists of contact interactions up to order $Q^4$. 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, $$R_{\rm L}$$ and $$R_{\rm S}$$, respectively, ranging from $$(R_{\rm L},R_{\rm S})=(1.2,0.8)$$ fm down to $(0.8,0.6)$ fm. Finally, the long-range (short-range) cutoff regularizes the one- and two-pion exchange (contact) part of the potential.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [1] ;  [5] ;  [1] ;  [4] ;  [1]
  1. Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division
  2. Univ. of Salento, Lecce (Italy). Dept. of Mathematics and Physics; National Inst. for Nuclear Physics (INFN), Lecce (Italy)
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center; Old Dominion Univ., Norfolk, VA (United States). Dept. of Physics
  4. National Inst. for Nuclear Physics (INFN), Pisa (Italy)
  5. National Inst. for Nuclear Physics (INFN), Pisa (Italy); Univ. of Pisa (Italy). Dept. of Physics
Publication Date:
Report Number(s):
JLAB-THY-16-2246; DOE/OR/23177-3825; arXiv:1606.06335
Journal ID: ISSN 2469-9985
Grant/Contract Number:
AC02-06CH11357; AC05-06OR23177
Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 94; Journal Issue: 5; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Research Org:
Argonne National Lab. (ANL), Argonne, IL (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21); USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; few-body systems; nuclear forces; nuclear structure & decays; nucleon-nucleon interactions
OSTI Identifier:
1334251
Alternate Identifier(s):
OSTI ID: 1333591

Piarulli, M., Girlanda, L., Schiavilla, R., Kievsky, A., Lovato, A., Marcucci, L. E., Pieper, Steven C., Viviani, M., and Wiringa, R. B.. Local chiral potentials with Δ-intermediate states and the structure of light nuclei. United States: N. p., Web. doi:10.1103/PhysRevC.94.054007.
Piarulli, M., Girlanda, L., Schiavilla, R., Kievsky, A., Lovato, A., Marcucci, L. E., Pieper, Steven C., Viviani, M., & Wiringa, R. B.. Local chiral potentials with Δ-intermediate states and the structure of light nuclei. United States. doi:10.1103/PhysRevC.94.054007.
Piarulli, M., Girlanda, L., Schiavilla, R., Kievsky, A., Lovato, A., Marcucci, L. E., Pieper, Steven C., Viviani, M., and Wiringa, R. B.. 2016. "Local chiral potentials with Δ-intermediate states and the structure of light nuclei". United States. doi:10.1103/PhysRevC.94.054007. https://www.osti.gov/servlets/purl/1334251.
@article{osti_1334251,
title = {Local chiral potentials with Δ-intermediate states and the structure of light nuclei},
author = {Piarulli, M. and Girlanda, L. and Schiavilla, R. and Kievsky, A. and Lovato, A. and Marcucci, L. E. and Pieper, Steven C. and Viviani, M. and Wiringa, R. B.},
abstractNote = {In this paper, 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 $^3$H, $^3$He, $^4$He, $^6$He, and $^6$Li nuclei. The long-range part of these local potentials includes one- and two-pion exchange contributions without and with $\Delta$-isobars in the intermediate states up to order $Q^3$ ($Q$ denotes generically the low momentum scale) in the chiral expansion, while the short-range part consists of contact interactions up to order $Q^4$. 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, $R_{\rm L}$ and $R_{\rm S}$, respectively, ranging from $(R_{\rm L},R_{\rm S})=(1.2,0.8)$ fm down to $(0.8,0.6)$ fm. Finally, the long-range (short-range) cutoff regularizes the one- and two-pion exchange (contact) part of the potential.},
doi = {10.1103/PhysRevC.94.054007},
journal = {Physical Review C},
number = 5,
volume = 94,
place = {United States},
year = {2016},
month = {11}
}