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

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

2002-07-12

arxiv.org/abs/nucl-th/0207034v2

Nucl.Phys. A714 (2003) 589-610

Physics

Nuclear Physics

Nuclear Theory

22 pages revtex4, 7 figures in 8 .eps files. Figures cosmetically changed, minor corrections. Version accepted for publication

Scientific paper

10.1016/S0375-9474(02)01402-1

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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