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Finite volume effects in low-energy neutron-deuteron scattering

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arxiv 1308.3386 v1 pith:CODNVS5U submitted 2013-08-15 nucl-th

classification nucl-th
keywords latticescatteringcorrectionslow-energyneutron-deuteronordertopologicalvolume
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a lattice calculation of neutron-deuteron scattering at very low energies and investigate in detail the impact of the topological finite-volume corrections. Our calculations are carried out in the framework of pionless effective field theory at leading order in the low-energy expansion. Using lattice sizes and a lattice spacing comparable to those employed in nuclear lattice simulations, we find that the topological volume corrections must be taken into account in order to obtain correct results for the neutron-proton S-wave scattering lengths.

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