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

Abstract

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 (N 3LO) contributions are included. Finally, we stress that for center-of-mass momenta below 100 MeV,more » the physics of the two-nucleon system is independent of the lattice spacing.« less

Authors:
 [1];  [2];  [3];  [2];  [4];  [2];  [2];  [2];  [5]
  1. 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)
  2. Forschungszentrum Julich (Germany). Inst. for Advanced Simulation, Inst. fur Kernphysik, and Julich Center for Hadron Physics
  3. Univ. of Bonn (Germany). Helmholtz-Inst. fur Strahlen- und Kernphysik and Bethe Center for Theoretical Physics
  4. North Carolina State Univ., Raleigh, NC (United States). Dept. of Physics
  5. 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)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1360957
Report Number(s):
JLAB-THY-17-2426; DOE/OR/-23177-4081
Journal ID: ISSN 1434-6001; PII: 827
Grant/Contract Number:  
AC05-06OR23177
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
European Physical Journal. A
Additional Journal Information:
Journal Volume: 53; Journal Issue: 5; Journal ID: ISSN 1434-6001
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Alarcón, Jose Manuel, Du, Dechuan, Klein, Nico, Lähde, Timo A., Lee, Dean, Li, Ning, Lu, Bing-Nan, Luu, Thomas, and Meißner, Ulf-G. Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory. United States: N. p., 2017. Web. doi:10.1140/epja/i2017-12273-x.
Alarcón, Jose Manuel, Du, Dechuan, Klein, Nico, Lähde, Timo A., Lee, Dean, Li, Ning, Lu, Bing-Nan, Luu, Thomas, & Meißner, Ulf-G. Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory. United States. doi:10.1140/epja/i2017-12273-x.
Alarcón, Jose Manuel, Du, Dechuan, Klein, Nico, Lähde, Timo A., Lee, Dean, Li, Ning, Lu, Bing-Nan, Luu, Thomas, and Meißner, Ulf-G. Mon . "Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory". United States. doi:10.1140/epja/i2017-12273-x. https://www.osti.gov/servlets/purl/1360957.
@article{osti_1360957,
title = {Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory},
author = {Alarcón, Jose Manuel and Du, Dechuan and Klein, Nico and Lähde, Timo A. and Lee, Dean and Li, Ning and Lu, Bing-Nan and Luu, Thomas and Meißner, Ulf-G.},
abstractNote = {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.},
doi = {10.1140/epja/i2017-12273-x},
journal = {European Physical Journal. A},
number = 5,
volume = 53,
place = {United States},
year = {Mon May 08 00:00:00 EDT 2017},
month = {Mon May 08 00:00:00 EDT 2017}
}

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