Novel Methods for Determining Effective Interactions for the Nuclear Shell Model

Details Novel Methods for Determining Effective Interactions for the Nuclear Shell Model Novel Methods for Determining Effective Interactions for the Nuclear Shell Model

2001-10-24

arxiv.org/abs/nucl-th/0110061v1

Phys.Rev. C66 (2002) 024324

Physics

Nuclear Physics

Nuclear Theory

14 pages, 5 figures and 2 table

Scientific paper

10.1103/PhysRevC.66.024324

The Contractor Renormalization (CORE) method is applied in combination with modern effective-theory techniques to the nuclear many-body problem. A one-dimensional--yet ``realistic''--nucleon-nucleon potential is introduced to test these novel ideas. It is found that the magnitude of ``model-space'' (CORE) corrections diminishes considerably when an effective potential that eliminates the hard-momentum components of the potential is first introduced. As a result, accurate predictions for the ground-state energy of the there-body system are made with relatively little computational effort when both techniques are used in a complementary fashion.

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