Novel Methods for Determining Effective Interactions for the Nuclear Shell Model

Abstract

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.

14 pages, 5 figures and 2 table

References in corpus (8)

• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Few-nucleon systems in translationally invariant harmonic oscillator basis
• Removing Pions from Two-Nucleon Effective Field Theory
• Regularization Methods for Nucleon-Nucleon Effective Field Theory
• The Canonical Nuclear Many-Body Problem as an Effective Theory
• Perturbation Theory for Spin Ladders Using Angular-Momentum Coupled Bases
• Equivalence of model space techniques and the renormalization group for a separable model problem
• Mean-Field Theory for Spin Ladders Using Angular-Momentum Coupled Bases

Cited by in corpus (5)

• Exploring Contractor Renormalization: Tests on the 2-D Heisenberg Antiferromagnet and Some New Perspectives
• Nonperturbative renormalization of the neutrinoless double-beta operator in p-shell nuclei
• Low-energy operators in effective theories
• Low energy properties of non-perturbative quantum systems: a space reduction approach
• Study of the spectral properties of spin ladders in different representations via a renormalization procedure