Physics – Nuclear Physics
Scientific paper
Oct 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aps..dnp.ch013g&link_type=abstract
American Physical Society, 2007 Annual Meeting of the Division of Nuclear Physics, October 10-13,2007, abstract #CH.013
Physics
Nuclear Physics
Scientific paper
To add 3-body forces when theory and data disagree is untenable when predictions are required. For the ``pion-less'' Effective Field Theory at momenta below the pion-mass, I provide a recipe to systematically estimate the typical size of 3-body forces in all partial waves and orders, including external currents [1]. It is based on the superficial degree of divergence of the 3-body diagrams which contain only two-body forces and the renormalisation-group argument that low-energy observables must be insensitive to details of short-distance dynamics. Na"ive dimensional analysis must be amended as the asymptotic solution to the leading-order problem depends for large off-shell momenta crucially on the partial wave and spin-combination considered. The typical strength of most 3-body forces turns out weaker than expected, demoting many to high orders. As application, the thermal cross section of nd->tγ bears no new 3-body force [2], besides those fixed by the triton binding energy and nd scattering length in the triton channel: 0.485(LO)+0.011(NLO)+0.007(NNLO) ];mb=[0.503±0.003];mb, converges and compares well with data, [0.509±0.015];mb. Potential models list [0.490.66];mb, depending on the 2-nucleon potential and inclusion of the δ(1232). [1] H.W. Grießhammer: Nucl. Phys. A760 (2005) 110 [2] H. Sadeghi, S. Bayegan and H.W. Grießhammer: Phys. Lett.B643 (2006), 263.
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