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

Alarcón, Jose Manuel; Du, Dechuan; Klein, Nico; Lähde, Timo A.; Lee, Dean; Li, Ning; Lu, Bing-Nan; Luu, Thomas; Meißner, Ulf-G.

doi:10.1140/epja/i2017-12273-x

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

Journal Article · Mon May 08 00:00:00 EDT 2017 · European Physical Journal. A

DOI:https://doi.org/10.1140/epja/i2017-12273-x· OSTI ID:1360957

Alarcón, Jose Manuel ^[1]; Du, Dechuan ^[2]; Klein, Nico ^[3]; Lähde, Timo A. ^[2]; Lee, Dean ^[4]; Li, Ning ^[2]; Lu, Bing-Nan ^[2]; Luu, Thomas ^[2]; Meißner, Ulf-G. ^[5]

Univ. of Bonn (Germany). Helmholtz-Inst. fur Strahlen- und Kernphysik and Bethe Center for Theoretical Physics; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Forschungszentrum Julich (Germany). Inst. for Advanced Simulation, Inst. fur Kernphysik, and Julich Center for Hadron Physics
Univ. of Bonn (Germany). Helmholtz-Inst. fur Strahlen- und Kernphysik and Bethe Center for Theoretical Physics
North Carolina State Univ., Raleigh, NC (United States). Dept. of Physics
Univ. of Bonn (Germany). Helmholtz-Inst. fur Strahlen- und Kernphysik and Bethe Center for Theoretical Physics; Forschungszentrum Julich (Germany). Inst. for Advanced Simulation, Inst. fur Kernphysik, and Julich Center for Hadron Physics; Forschungszentrum Julich (Germany). High Performance Computing (JARA-HPC)

Here, 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. Finally, we stress that for center-of-mass momenta below 100 MeV, the physics of the two-nucleon system is independent of the lattice spacing.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1360957

Report Number(s):: JLAB-THY-17-2426; DOE/OR/-23177-4081; PII: 827

Journal Information:: European Physical Journal. A, Vol. 53, Issue 5; ISSN 1434-6001

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 10 works

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