Using the Stochastic Variational Method in Momentum Representationto Solve Nuclear Few-Body Problems
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Date
2008-03
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Publisher
The Ohio State University
Abstract
The Stochastic Variational Method (SVM) is a powerful way of numerically calculating
bound-state energies for few-body systems. It has, however, never been used in momentum
representation. Recent advances using Similarity Renormalization Group (SRG) methods
allow inter-nucleon potentials to be evolved, in momentum representation, into a form that
may be suitable for calculations using variational techniques. Using the deuteron (N = 2)
as a simple model, the SVM is shown to work in momentum representation as a proof-ofprinciple.
Further, the SVM is also shown to be effective on an SRG-evolved potential.
These results motivate the generalization of the SVM to N > 2 bodies for use on SRG
evolved potentials and point the way towards that goal.
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Keywords
Few-Body, Stochastic Variational Method, Similarity Renormalization Group, Momentum Representation