Many-body fits of phase-equivalent effective interactions

Details Many-body fits of phase-equivalent effective interactions Many-body fits of phase-equivalent effective interactions

2010-09-20

arxiv.org/abs/1009.3880v1

Physics

Nuclear Physics

Nuclear Theory

4 pages, 1 figure; accepted for publication as Rapid Communication in Physical Review C

Scientific paper

In many-body theory it is often useful to renormalize short-distance, high-momentum components of an interaction via unitary transformations. Such transformations preserve the on-shell physical observables of the two-body system (mostly phase-shifts, hence unitarily-connected effective interactions are often called phase-equivalent), while modifying off-shell T-matrix elements influential in many-body systems. In this paper I lay out a general and systematic approach for controlling the off-shell behavior of an effective interaction, which can be adjusted to many-body properties, and present an application to trapped fermions at the unitary

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