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Article overview
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Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory | Jose Manuel Alarcón
; Dechuan Du
; Nico Klein
; Timo A. Lähde
; Dean Lee
; Ning Li
; Bing-Nan Lu
; Thomas Luu
; Ulf-G. Meißner
; | Date: |
17 Feb 2017 | Abstract: | We present a systematic study of neutron-proton scattering in Nuclear Lattice
Effective Field Theory (NLEFT), in terms of the computationally efficient
radial Hamiltonian method. Our leading-order (LO) interaction consists of
smeared, local contact terms and static one-pion exchange. We show results for
a fully non-perturbative analysis up to next-to-next-to-leading order (NNLO),
followed by a perturbative treatment of contributions beyond LO. The latter
analysis anticipates practical Monte Carlo simulations of heavier nuclei. We
explore how our results depend on the lattice spacing a, and estimate sources
of uncertainty in the determination of the low-energy constants of the
next-to-leading-order (NLO) two-nucleon force. We give results for lattice
spacings ranging from a = 1.97 fm down to a = 0.98 fm, and discuss the effects
of lattice artifacts on the scattering observables. At a = 0.98 fm, lattice
artifacts appear small, and our NNLO results agree well with the Nijmegen
partial-wave analysis for S-wave and P-wave channels. We expect the peripheral
partial waves to be equally well described once the lattice momenta in the
pion-nucleon coupling are taken to coincide with the continuum dispersion
relation, and higher-order (N3LO) contributions are included. We stress that
for center-of-mass momenta below 100 MeV, the physics of the two-nucleon system
is independent of the lattice spacing. | Source: | arXiv, 1702.5319 | Services: | Forum | Review | PDF | Favorites |
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