skip to main content

Title: Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including Δ resonances

In this study, we construct a coordinate-space chiral potential, including Δ-isobar intermediate states in its two-pion-exchange component up to order Q 3 (Q denotes generically the low momentum scale). The contact interactions entering at next-to-leading and next-to-next-to-next-to-leading orders (Q 2 and Q 4, respectively) are rearranged by Fierz transformations to yield terms at most quadratic in the relative momentum operator of the two nucleons. The low-energy constant multiplying these contact interactions are fitted to the 2013 Granada database, consisting of 2309 pp and 2982 np data (including, respectively, 148 and 218 normalizations) in the laboratory-energy range 0–300 MeV. For the total 5291 $pp$ and $np$ data in this range, we obtain a Χ 2 /datum of roughly 1.3 for a set of three models characterized by long- and short-range cutoffs, R L and R S respectively, ranging from (R L,R 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.
 [1] ;  [2] ;  [3] ;  [4] ;  [4] ;  [4]
  1. Old Dominion Univ., Norfolk, VA (United States)
  2. Univ. of Salento, Lecce (Italy); INFN-Leece, Leece (Italy)
  3. Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  4. Univ. de Granada, Granada (Spain)
Publication Date:
OSTI Identifier:
Report Number(s):
JLAB-THY-14-1993; DOE/OR/23177-3257; arXiv:1412.6446
Journal ID: ISSN 0556-2813; PRVCAN; ArticleNumber: 024003
Grant/Contract Number:
Accepted Manuscript
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 91; Journal Issue: 2; Journal ID: ISSN 0556-2813
American Physical Society (APS)
Research Org:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States