2016/06/20 by Maria Piarulli, Luca Girlanda, Rocco Schiavilla +6
Physics and Astronomy · #nucl-th
paper · pdf · doi:10.1103/physrevc.94.054007
published as Phys. Rev. C 94, 054007 (2016) · 29 pages, 3 figures
arxiv created 2016/06/20 · arxiv updated 2016/12/07
We present fully local versions of the minimally non-local nucleon-nucleon potentials constructed in a previous paper [M. Piarulli \it et al., Phys. Rev. C \bf 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 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, 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. The long-range (short-range) cutoff regularizes the one- and two-pion exchange (contact) part of the potential.