The Nuclear Configuration Interations Method

Brown, B. A.

doi:10.1007/978-3-030-22204-8_1

Cited by 1 publication

(2 citation statements)

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“…In the phenomenological approach, empirical effective interactions containing adjustable parameters are introduced and modified to fit a certain set of experimental data, or the twobody matrix elements themselves are treated as free parameters. This approach has been very successful, and we refer to several excellent reviews [2,3,[25][26][27] for a comprehensive discussion of the topic. Currently there are several ways to derive an effective SM Hamiltonian starting from the bare interactions between nucleons.…”

Section: General Overviewmentioning

confidence: 99%

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Perturbative Approach to Effective Shell-Model Hamiltonians and Operators

Coraggio

Itaco

2020

Front. Phys.

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This article presents an overview of the derivation of effective shell-model Hamiltonian and decay operators within the framework of many-body perturbation theory, and discusses the results of selected shell-model studies based on these operators. More precisely, we give technical details that non-experts will need in order to derive shell-model Hamiltonians and operators starting from realistic nuclear potentials, and provide some guidance for shell-model calculations where the single-particle energies, two-body matrix elements of the residual interaction, effective charges, and decay matrix elements are all obtained without resorting to empirical adjustments. We report results of studies of double-β decay of heavy-mass nuclei where the shell-model ingredients are derived from theory, so as to assess the reliability of such an approach to shell-model investigations. Attention will be also focused on aspects relating to the behavior of the perturbative expansion, knowledge of which is needed for establishing limits and applying this approach to nuclear structure calculations.

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Section: General Overviewmentioning

confidence: 99%

“…The Krenciglowa-Kuo (KK) iterative technique for solving the recursive Equation 29is based on the coupling of Equations (29) and (26), which gives the iterative equation…”

Section: The Krenciglowa-kuo Iterative Techniquementioning

confidence: 99%

Perturbative Approach to Effective Shell-Model Hamiltonians and Operators

Coraggio

Itaco

2020

Front. Phys.

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show abstract

The Nuclear Configuration Interations Method

Cited by 1 publication

References 61 publications

Perturbative Approach to Effective Shell-Model Hamiltonians and Operators

Perturbative Approach to Effective Shell-Model Hamiltonians and Operators

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