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

Paulo F. Bedaque·Harald W. Griesshammer·H. -W. Hammer·Gautam Rupak
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Abstract

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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Paulo F. Bedaque, Harald W. Griesshammer, H. -W. Hammer, Gautam Rupak. 2002-12-14. Low Energy Expansion in the Three Body System to All Orders and the Triton Channel. https://doi.org/10.1016/s0375-9474(02)01402-1

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