NDLI: Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory

Content Provider	Springer Nature Link
Author	Alarcón, Jose Manuel Du, Dechuan Klein, Nico Lähde, Timo A. Lee, Dean Li, Ning Lu, Bing Nan Luu, Thomas Meißner, Ulf G.
Copyright Year	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 100MeV, the physics of the two-nucleon system is independent of the lattice spacing.
Starting Page	1
Ending Page	21
Page Count	21
File Format	PDF
ISSN	14346001
Journal	The European Physical Journal A - Hadrons and Nuclei
Volume Number	53
Issue Number	5
e-ISSN	1434601X
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2017-05-08
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Nuclear Physics, Heavy Ions, Hadrons Particle and Nuclear Physics Nuclear Fusion
Content Type	Text
Resource Type	Article
Subject	Nuclear and High Energy Physics

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