The triton and three-nucleon force in nuclear lattice simulations

Borasoy, B.; Krebs, H.; Meissner, U.G.; Lee, D.

doi:10.1016/j.nuclphysa.2006.01.009

Journal Article

PreJuSER-54804

The triton and three-nucleon force in nuclear lattice simulations

Borasoy, B. ; Krebs, H.FZJ* ; Lee, D. ; Meissner, U. G.FZJ*

2006
North-Holland Publ. Co. Amsterdam

Nuclear physics <Amsterdam> / A 768, 179 - 193 (2006) [10.1016/j.nuclphysa.2006.01.009]

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Please use a persistent id in citations: http://hdl.handle.net/2128/10611 doi:10.1016/j.nuclphysa.2006.01.009

Abstract: We study the triton and three-nucleon force at lowest chiral order in pionless effective field theory both in the Hamiltonian and Euclidean nuclear lattice formalism. In the case of the Euclidean lattice formalism, we derive the exact few-body worldline amplitudes corresponding to the standard many-body lattice action. This will be useful for setting low-energy coefficients in future nuclear lattice simulations. We work in the Wigner SU(4)-symmetric lit-nit where the S-wave scattering lengths S-1(0) and S-3(1) are equal. By comparing with continuum results, we demonstrate for the first time that the nuclear lattice formalism can be used to study few-body nucleon systems. (c) 2006 Elsevier B.V. All rights reserved.

Keyword(s): coupling: (3nucleon) ; three-body problem ; nuclear force ; effective Hamiltonian ; lattice field theory: action ; symmetry: SU(4) ; partial wave: scattering length ; continuum limit ; regularization ; tritium: binding energy ; numerical calculations: Monte Carlo