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

• Published in: Physical review. C 2016-11, Vol.94 (5), Article 054007
• Main Authors: Piarulli, M., Girlanda, L., Schiavilla, R., Kievsky, A., Lovato, A., Marcucci, L. E., Pieper, Steven C., Viviani, M., Wiringa, R. B.
• Format: Article
• Language: English
• Subjects: few-body systems; nuclear forces; NUCLEAR PHYSICS AND RADIATION PHYSICS; nuclear structure & decays; nucleon-nucleon interactions
• ISSN: 2469-9985; 2469-9993
• DOI: 10.1103/PhysRevC.94.054007

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.