4 papers
Separable Expansions of V_{low} for 2- and 3-Nucleon Systems
J. R. Shepard, J. A. McNeil
We present an alternative organizational scheme for developing effective theories of 2- and 3-body systems that is systematic, accurate, and efficient with controlled errors. To il…
Convergence of 2-Body Effective Range Expansions for Quartet Scattering
J. R. Shepard, J. A. McNeil
We examine the convergence properties of the 2-nucleon Effective Range Expansion as used in Effective Theories (ET-ERE's) for 3-nucleon calculations. We accomplish this by accounti…
Three Bosons in One Dimension with Short Range Interactions I: Zero Range Potentials
Nirav P. Mehta, James R. Shepard
We consider the three-boson problem with -function interactions in one spatial dimension. Three different approaches are used to calculate the phase shifts, which we interpret i…
Low-energy operators in effective theories
N. P. Mehta, C. Felline, J. R. Shepard +1
Modern effective-theory techniques are applied to the nuclear many-body problem. A novel approach is proposed for the renormalization of operators in a manner consistent with the c…