This title appears in the Scientific Report :
2007
Please use the identifier:
http://dx.doi.org/10.1140/epja/i2006-10154-1 in citations.
Please use the identifier: http://hdl.handle.net/2128/10543 in citations.
Lattice simulations for light nuclei: Chiral effective field theory at leading order
Lattice simulations for light nuclei: Chiral effective field theory at leading order
We discuss lattice simulations of light nuclei at leading order in the chiral effective field theory. Using lattice pion fields and auxiliary fields, we include the physics of instantaneous one-pion exchange and the leading-order S-wave contact interactions. We also consider higher-derivative contac...
Saved in:
Personal Name(s): | Borasoy, B. |
---|---|
Epelbaum, E. / Krebs, H. / Lee, D. / Meissner, U.G. | |
Contributing Institute: |
Institut 3 (Theoretische Kernphysik); IKP-3 Jülich-Aachen Research Alliance - Simulation Sciences; JARA-SIM |
Published in: | The @European physical journal / A, 31 (2007) S. 105 - 123 |
Imprint: |
Berlin
Springer
2007
|
Physical Description: |
105 - 123 |
DOI: |
10.1140/epja/i2006-10154-1 |
Document Type: |
Journal Article |
Research Program: |
Physik der Hadronen und Kerne |
Series Title: |
European Physical Journal A
31 |
Subject (ZB): | |
Link: |
Get full text OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://hdl.handle.net/2128/10543 in citations.
We discuss lattice simulations of light nuclei at leading order in the chiral effective field theory. Using lattice pion fields and auxiliary fields, we include the physics of instantaneous one-pion exchange and the leading-order S-wave contact interactions. We also consider higher-derivative contact interactions which adjust the S-wave scattering amplitude at higher momenta. By construction our lattice path integral is positive definite in the limit of exact Wigner SU(4) symmetry for any even number of nucleons. This SU(4) positivity and the approximate SU(4) symmetry of the low-energy interactions play an important role in suppressing sign and phase oscillations in Monte Carlo simulations. We assess the computational scaling of the lattice algorithm for light nuclei with up to eight nucleons and analyze in detail calculations of the deuteron, triton, and helium-4. |