Title: Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order

Journal Article · · Physical Review C
 [1];  [2];  [3];  [4];  [1];  [5]
  1. Michigan State Univ., East Lansing, MI (United States). Dept. of Physics and Astronomy. Facility for Rare Isotope Beams (FRIB)
  2. Univ. of Bonn (Germany); Karamanoglu Mehmetbey Univ. Karaman (Turkey)
  3. Ruhr Univ., Bochum (Germany)
  4. Michigan State Univ., East Lansing, MI (United States). Dept. of Physics and Astronomy. Facility for Rare Isotope Beams (FRIB); North Carolina State Univ., Raleigh, NC (United States)
  5. Univ. of Bonn (Germany); Forschungszentrum Juelich (Germany)

Here we present a new lattice formulation of chiral effective field theory interactions with a simpler decomposition into spin channels. With these interactions the process of fitting to the empirical scattering phase shifts is simplified, and the resulting lattice phase shifts are more accurate than in previous studies. We present results for the neutron-proton system up to next-to-next-to-next-to-leading order for lattice spacings of 1.97, 1.64, 1.32, and 0.99 fm. Our results provide a pathway to ab initio lattice calculations of nuclear structure, reactions, and thermodynamics with accurate and systematic control over the chiral nucleon-nucleon force.

Research Organization:
Michigan State Univ., East Lansing, MI (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Organization:
Chinese Academy of Sciences (CAS); Deutsche Forschungsgemeinschaft (DFG); German Federal Ministry of Education and Research (BMBF); Scientific and Technological Research Council of Turkey (TUBITAK); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
Grant/Contract Number:
SC0018638
OSTI ID:
1565770
Report Number(s):
arXiv:1806.07994v3
Journal Information:
Physical Review C, Journal Name: Physical Review C Journal Issue: 4 Vol. 98; ISSN PRVCAN; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (2)

Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice journal December 2019
Galilean invariance restoration on the lattice journal June 2019