Reaction Matrix Elements and Structure Calculations with the Yale and Reid Potentials for the Ni Region

Kung, H. W.; Raj, Ram; Nisley, R.A.; Hull, M.H.

doi:10.1103/physrevc.4.854

Cited by 12 publications

(4 citation statements)

References 34 publications

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“…Excitation into the 1 g9/2 orbit is not considered either. It turns out, however, that by including excitation of two particles into the lg9/2 orbit no significantly better results are obtained I- 5,14] for most of the states treated in the present paper.…”

Section: The Configuration Spacementioning

confidence: 79%

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Shell-model calculations on Ni and Cu isotopes

1977

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Binding energies, excitation energies and spectroscopic factors have been calculated for 57-67Ni and 58-68Cu in an unrestricted (2p3/2, lJ;~2,2p1,2 ) shell-model space. The effective two-body matrix elements are obtained from the modified surface delta interaction (MSDI) and from a least-squares fit to experimental binding and excitation energies (ASDI). The average deviation between about 100 experimental and calculated energies is 0.14 MeV for MSDI and 0.08 MeV for ASDI. Excitation energies of high-spin states are given also. Spectroscopic factors have been calculated for all single-nucleon transfer reactions on stable Ni or Cu targets leading to Ni or Cu isotopes. For spectroscopic factors larger than 0.4 the average deviation between theory and experiment is about 30 %. The experimentally observed and calculated spectroscopic strengths are compared by using sum rules and are found to be consistent. An extensive compilation has been made of experimental data on energies, J~ assignments and spectroscopic factors.

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Section: The Configuration Spacementioning

confidence: 79%

“…Shell-model spectra obtained with two-body matrix elements, calculated from free-nucleon potentials, are given in Refs. 4,5. The goodness of the seniority quantum number for the Ni isotopes has been considered in Refs.…”

Section: Introductionmentioning

confidence: 99%

Shell-model calculations on Ni and Cu isotopes

1977

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“…In the context of this work, the RG provides a simple explanation of the observation that -after being processed by the Brueckner G-matrix machinery -various NN potentials produce very similar spectroscopy (110,111), as long as they reproduce NN scattering data. This can be understood as an indication that the G-matrix approximately "integrates out" the short-distance physics of the different potentials, leaving the universal long-distance physics.…”

Section: The Renormalizationmentioning

confidence: 99%

Nonempirical Interactions for the Nuclear Shell Model: An Update

Stroberg

Bogner

Hergert

et al. 2019

Annu. Rev. Nucl. Part. Sci.

208

216

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The nuclear shell model has been perhaps the most important conceptual and computational paradigm for the understanding of the structure of atomic nuclei. While the shell model has been predominantly used in a phenomenological context, there have been efforts stretching back over a half century to derive shell model parameters based on a realistic interaction between nucleons. More recently, several ab initio many-body methods-in particular many-body perturbation theory, the no-core shell model, the in-medium similarity renormalization group, and coupled cluster theory-have developed the capability to provide effective shell model Hamiltonians. We provide an update on

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“…Some authors have empirically determined effective interactions [1M]. Others have used various realistic interactions [5][6][7][8], which have been also applied to the Cu isotopes [7][8][9][10] and a few even-mass Zn isotopes [8,11,12]. The T=0 part of the empirical interaction remained less determined than the T= 1 part, though an attempt to determine some of the T=0 two-body matrix elements was made for the Cu isotopes under the restriction to low seniority states [13].…”

Section: Introductionmentioning

confidence: 99%

Calculations of the energy spectra of Zn, Ga, and Ge isotopes by the shell model

1979

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The effective Hamiltonian which was determined empirically by Koops and Glaudemans is tested in shell model calculations for the nuclei in the full(1 P3/2,0]5/2, 1 Pl/J space. The resulting energy spectra are compared with the experimental spectra and results of previous calculations. The overall agreement with experiment is as satisfactory for these nuclei as for the Ni and Cu isotopes, by which the Hamiltonian was determined. It is noticed that the spectra of 67Zn and 67'69Ga calculated in this work are similar to those provided by the Alaga model.

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Reaction Matrix Elements and Structure Calculations with the Yale and Reid Potentials for the Ni Region

Cited by 12 publications

References 34 publications

Shell-model calculations on Ni and Cu isotopes

Shell-model calculations on Ni and Cu isotopes

Nonempirical Interactions for the Nuclear Shell Model: An Update

Calculations of the energy spectra of Zn, Ga, and Ge isotopes by the shell model

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