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

Abstract

We present fully local versions of the minimally non-local nucleon-nucleon potentials constructed in a previous paper [M. 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 3H, 3He, 4He, 6He, and 6Li nuclei. The long-range part of these local potentials includes oneand 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.

Authors:
; ; ; ; ; ; ; ;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science - National Energy Research Scientific Computing Center (NERSC); USDOE Office of Science - Office of Nuclear Physics
OSTI Identifier:
1395885
DOE Contract Number:  
AC02-06CH11357
Resource Type:
Journal Article
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 94; Journal Issue: 5; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Citation Formats

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., 2016. 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. Tue . "Local chiral potentials with Δ -intermediate states and the structure of light nuclei". United States. doi:10.1103/PhysRevC.94.054007.
@article{osti_1395885,
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 = {We present fully local versions of the minimally non-local nucleon-nucleon potentials constructed in a previous paper [M. 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 3H, 3He, 4He, 6He, and 6Li nuclei. The long-range part of these local potentials includes oneand 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.},
doi = {10.1103/PhysRevC.94.054007},
journal = {Physical Review C},
issn = {2469-9985},
number = 5,
volume = 94,
place = {United States},
year = {2016},
month = {11}
}

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