Effects of Departures from the Single Particle Model on Nuclear Magnetic Moments

de-Shalit, A.

doi:10.1103/physrev.90.83

Cited by 17 publications

(3 citation statements)

References 13 publications

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“…given by Table I eqs. (11) and (14) are in accord with those of the empirical deviations of magnetic moments from the Schmidt lines. The interaction between nucleons can be taken to be attractive in view of the pairing energy and it seems a plausible assumption that the attractive force in the triplet state is stronger than that in 1:he singlet state.…”

Section: - § 2 Deviation Of Magnetic Moments From the Schmidt Linesmentioning

confidence: 99%

“…Hence, if we could completely neglect the contributions from the unlike nucleons, we should have the deviations of magnetic moments proportional to the corresponding value of g.-r!t to the odd-proton and odd-neutron nuclei from Table I and eqs. (11) and (14). Thus, the ratio of the deviations of odd-proton (Z) nuclei to the odd-neui:ron (N') nuclei, Z = N', would be given by 13flvl/13pNI "'='4.585/3.826=1.20.…”

Section: - § 2 Deviation Of Magnetic Moments From the Schmidt Linesmentioning

confidence: 99%

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Configuration Mixing and Magnetic Moments of Odd Nuclei

1954

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The deviations of magnetic moments of odd nuclei from the Schmidt lines are calculated by taking into account the effect of departure from the single-particle model in nuclear states caused by configu-'ration mixing. The calculations are based upon the simple perturbation theory a;d the values of the deviations' are estimated by adopting the two-body interaction strengths and integrals which are determined ·from the empirical data on pairing energies. The general trend as well as the fluctuation of the deviations of magnetic moments from the Schmidt lines are accounted for fairly well .

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Section: - § 2 Deviation Of Magnetic Moments From the Schmidt Linesmentioning

confidence: 99%

Section: - § 2 Deviation Of Magnetic Moments From the Schmidt Linesmentioning

confidence: 99%

Configuration Mixing and Magnetic Moments of Odd Nuclei

1954

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“…Now, however, it is used with shell model wave functions which are determined by a two body interaction. The deviations from the Schmidt moments occupied much attention of de-Shalit (1953a). This was attributed to a cancellation of deviations from the proton and neutron moments.…”

Section: Nuclear Magnetic Momentsmentioning

confidence: 99%

Advances in Nuclear Physics, Volume 27

Baranger¹,

Vogt²,

Seth³

2003

Advances in Nuclear Physics

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A Continuation Order Plan is available for this series. A continuation order will bring delivery of each new volume immediately upon publication. Volumes are billed only upon actual shipment. For further information please contact the publisher. High Spin Properties of Atomic Nuclei • D. Ward and P. Fallon The Deuteron: Structure and Form Factors • M. Garçon and J. W. Van Orden Articles Published in Earlier Volumes ixThis volume contains two major articles, one providing a historical retrospective of one of the great triumphs of nuclear physics in the twentieth century and the other providing a didactic introduction to one of the quantitative tools for understanding strong interactions in the twenty-first century.The article by Igal Talmi on "Fifty Years of the Shell Model -the Quest for the Effective Interaction", pertains to a model that has dominated nuclear physics since its infancy and that developed with astonishing results over the next five decades. Talmi is uniquely positioned to trace the history of the Shell Model. He was active in developing the ideas at the shell model's inception, he has been central in most of the subsequent initiatives which expanded, clarified and applied the shell model and he has remained active in the field to the present time. Wisely, he has chosen to restrict his review to the dominating issue: the choice of the effective interactions among valence nucleons that determine the properties of low lying nuclear energy levels.The treatment of the subject is both bold and novel for our series. The ideas pertaining to the effective interaction for the shell model are elucidated in a historical sequence. In a massive article, which will be valued both for its completeness and its sound judgment of the various contributions to the subject, Talmi succeeds without use of a single figure comparing model results with each other or with experimental data. Instead, the compelling flow of ideas and results for the Shell Model are described in a manner that makes clear why this magnificent edifice has had such great resilience. Many of the ideas of the Shell Model are very elegant. They converge on a picture of nuclear states that is so all-encompassing that there has been very little room, so far, for the intrusion of subnucleon physics. Talmi takes us right up to the most recent decade in which very large computers have been able to verify and expand upon earlier views of the effective interaction by directly diagonalizing the matrices pertaining to the myriad of nuclear states that arise from several valence nucleons beyond closed shells. This review is then a celebration of a most successful model of atomic nuclei and of its underlying ideas. xi PREFACEThe second article of this volume is also massive and pertains to a subject that has become very important for the field. Chiral Perturbation Theory has been one of the few quantitative tools for coping with the theory of the strong interactions, QCD, which is both remarkably simple to express as a fundamental Lagrangian and notoriously ...

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Fifty Years of the Shell Model — The Quest for the Effective Interaction

Talmi

2003

Advances in Nuclear Physics, Volume 27

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Effects of Departures from the Single Particle Model on Nuclear Magnetic Moments

Cited by 17 publications

References 13 publications

Configuration Mixing and Magnetic Moments of Odd Nuclei

Configuration Mixing and Magnetic Moments of Odd Nuclei

Advances in Nuclear Physics, Volume 27

Fifty Years of the Shell Model — The Quest for the Effective Interaction

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