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arxiv: nucl-th/0207034 · v2 · submitted 2002-07-12 · ⚛️ nucl-th

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Low Energy Expansion in the Three Body System to All Orders and the Triton Channel

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classification ⚛️ nucl-th
keywords expansionorderschannelmodelphasesystemthree-bodytriton
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We extend and systematise the power counting for the three-body system, in the context of the ``pion-less'' Effective Field Theory approach, to all orders in the low-energy expansion. We show that a sub-leading part of the three-body force appears at the third order and delineate how the expansion proceeds at higher orders. After discussing the renormalisation issues in a simple bosonic model, we compute the phase shifts for neutron-deuteron scattering in the doublet S wave (triton) channel and compare our results with phase shift analysis and potential model calculations.

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Cited by 3 Pith papers

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