This title appears in the Scientific Report :
2017
Please use the identifier:
http://dx.doi.org/10.1140/epja/i2017-12273-x in citations.
Please use the identifier: http://hdl.handle.net/2128/22775 in citations.
Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory
Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory
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...
Saved in:
Personal Name(s): | Alarcón, Jose Manuel |
---|---|
Du, Dechuan / Klein, Nico / Lähde, Timo (Corresponding author) / Li, Ning / Lu, Bing-Nan / Meißner, Ulf-G. / Lee, Dean / Luu, Tom | |
Contributing Institute: |
JARA - HPC; JARA-HPC John von Neumann - Institut für Computing; NIC Theorie der Starken Wechselwirkung; IAS-4 |
Published in: | The @European physical journal / A, 53 (2017) 5, S. 83 |
Imprint: |
Berlin
Springer
2017
|
DOI: |
10.1140/epja/i2017-12273-x |
Document Type: |
Journal Article |
Research Program: |
Nuclear Lattice Simulations TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik Computational Science and Mathematical Methods |
Link: |
Restricted Restricted OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://hdl.handle.net/2128/22775 in citations.
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. |