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Extensions to the No-Core Shell Model - Importance-Truncation, Regulators and Reactions (Hardcover, 2013 ed.)
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Extensions to the No-Core Shell Model - Importance-Truncation, Regulators and Reactions (Hardcover, 2013 ed.)
Series: Springer Theses
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Extensions to the No-Core Shell Model presents three extensions to
the No-Core Shell Model (NCSM) that allow for calculations of
heavier nuclei, specifically for the p-shell nuclei. The
Importance-Truncated NCSM (IT-NCSM) formulated on arguments of
multi-configurational perturbation theory selects a small set of
basis states from the initially large basis space in which the
Hamiltonian is diagonalized. Previous IT-NCSM calculations have
proven reliable, however, there has been no thorough investigation
of the inherent error in the truncated IT-NCSM calculations. This
thesis provides a detailed study of IT-NCSM calculations and
compares them to full NCSM calculations to judge the accuracy of
IT-NCSM in heavier nuclei. When IT-NCSM calculations are performed,
one often needs to extrapolate the ground-state energy from the
finite basis (or model) spaces to the full NCSM model space. In
this thesis a careful investigation of the extrapolation procedures
was performed. On a related note, extrapolations in the NCSM are
commonplace, but up to recently did not have the ultraviolet (UV)
or infrared (IR) physics under control. This work additionally
presents a method that maps the NCSM parameters into an
effective-field theory inspired framework, in which the UV and IR
physics are treated appropriately. The NCSM is well-suited to
describe bound-state properties of nuclei, but is not well-adapted
to describe loosely bound systems, such as the exotic nuclei near
the neutron drip line. With the inclusion of the Resonating Group
Method (RGM), the NCSM / RGM can provide a first-principles
description of exotic nuclei and the first extension of the NCSM.
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