Spectral Distributions in Nuclei

French, John D.; Ratcliff, K.F.

doi:10.1103/physrevc.3.94

Cited by 95 publications

(78 citation statements)

References 9 publications

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“…The theory of spectral distributions (or statistical spectroscopy) is well documented in the literature [3,4,37,6,8] and is accompanied by computational codes [8,52] for evaluating various measures. The purpose of this appendix is to specify the notation and ensure that our definitions of the summations and numerical factors that enter into such measures are clearly understood.…”

Section: Appendixmentioning

confidence: 99%

“…Group theory underpins spectral distribution theory [3,4,6,8,44]. The model space is partitioned according to particular group symmetries and each subsequent subgroup partitioning yields finer and more detailed spectral estimates.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…While such calculations are often laborious and model dependent, a simple and straightforward evaluation of an interaction can be made using spectral distribution theory [3,4]. Indeed, spectral distribution methods can yield a deeper understanding of the nature of an interaction and above all, its role in the development of collective and correlated many-nucleon motion [5,6,7,8,9,10,11,12].…”

Section: Introductionmentioning

confidence: 99%

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Global properties of fp-shell interactions in many-nucleon systems

2007

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Spectral distribution theory, which can be used to compare microscopic interactions over a broad range of nuclei, is applied in an analysis of two modern effective interactions based on the realistic CD-Bonn potential for 0 Ω no-core shell model calculations in the f p shell, as well as in a comparison of these with the realistic shell-model GXPF1 interaction. In particular, we explore the ability of these interaction to account for the development of isovector pairing correlations and collective rotational motion in the f p shell. Our findings expose the similarities of these two-body interactions, especially as this relates to their pairing and rotational characteristics. Further, the GXPF1 interaction is used to determine the strength parameter of a quadrupole term that can be used to augment an isovector-pairing model interaction with Sp(4) dynamical symmetry, which in turn is shown to yield reasonable agreement with the low-lying energy spectra of 58 Ni and 58 Cu.

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Section: Appendixmentioning

confidence: 99%

Section: Theoretical Frameworkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Global properties of fp-shell interactions in many-nucleon systems

2007

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“…This purpose can be reached using the methods of statistical nuclear spectroscopy [8][9][10]. Already in the framework of a single partition (a certain configuration of independent particles occupying the mean field levels), the level density after including the particle interaction rapidly goes to the Gaussian limit with the increasing particle number [11].…”

Section: Introductionmentioning

confidence: 99%

Nuclear level density: Shell-model approach

Sen'kov

Zelevinsky

2016

Phys. Rev. C

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The knowledge of the nuclear level density is necessary for understanding various reactions including those in the stellar environment. Usually the combinatorics of Fermi-gas plus pairing is used for finding the level density. Recently a practical algorithm avoiding diagonalization of huge matrices was developed for calculating the density of many-body nuclear energy levels with certain quantum numbers for a full shell-model Hamiltonian. The underlying physics is that of quantum chaos and intrinsic thermalization in a closed system of interacting particles. We briefly explain this algorithm and, when possible, demonstrate the agreement of the results with those derived from exact diagonalization. The resulting level density is much smoother than that coming from the conventional mean-field combinatorics. We study the role of various components of residual interactions in the process of thermalization, stressing the influence of incoherent collision-like processes. The shell-model results for the traditionally used parameters are also compared with standard phenomenological approaches.

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“…One simple consequence of our definitions will be derived A 'Rfs '6 :r.r, 54-r. 'rb SM.,Ms STA-3-35 (12) The off-diagonal equations are orthogonality relations and the 4 diagonal relation when 4--s is, from eq. (6),…”

Section: Ldmentioning

confidence: 99%

Theory of Overlap Functions. I. Single Particle Sum Rules and Centre-of- Mass Corrections.

Clement¹

1972

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Spectral Distributions in Nuclei

Cited by 95 publications

References 9 publications

Global properties of fp-shell interactions in many-nucleon systems

Global properties of fp-shell interactions in many-nucleon systems

Nuclear level density: Shell-model approach

Theory of Overlap Functions. I. Single Particle Sum Rules and Centre-of- Mass Corrections.

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