The microscopic Interacting Boson Model for nondegenerate orbits

P̧ittel, S.; Duval, Philip; Barrett, B. R.

doi:10.1016/0003-4916(82)90107-5

Cited by 94 publications

(49 citation statements)

References 26 publications

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“…For the odd-mass Ca isotopes, the lowest states of J = 2 The FPD6 interaction is taken for illustration, but similar results are obtained with GXPF1. Only ratios of α a values are relevant, since the overall scale is set by the conventional normalization a (2j a + 1)α 2 a = a (2j a + 1) for the S pair [12]. Throughout the shell, the amplitude for the f 7/2 orbital dominates, followed by that of the p 3/2 orbital.…”

Section: A Overviewmentioning

confidence: 99%

Generalized seniority for the shell model with realistic interactions

et al. 2012

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The generalized seniority scheme has long been proposed as a means of dramatically reducing the dimensionality of nuclear shell model calculations, when strong pairing correlations are present. However, systematic benchmark calculations, comparing results obtained in a model space truncated according to generalized seniority with those obtained in the full shell model space, are required to assess the viability of this scheme. Here, a detailed comparison is carried out, for semimagic nuclei taken in a full major shell and with realistic interactions. The even-mass and odd-mass Ca isotopes are treated in the generalized seniority scheme, for generalized seniority v ≤ 3. Results for level energies, orbital occupations, and electromagnetic observables are compared with those obtained in the full shell model space.

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Section: A Overviewmentioning

confidence: 99%

Generalized seniority for the shell model with realistic interactions

et al. 2012

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“…Bologna, Italy be useful to calculate boson model parameters starting from the Shell Model. A few first attempts in this direction have been made for realistic cases [11][12][13][14]. In the present work we have used an empirical Shell Model Hamiltonian which is obtained after a careful analysis of the empirical effective interaction [15] and a derivation of single-particle energies from odd nuclei [8].…”

Section: Introductionmentioning

confidence: 99%

Correlated-pair structure in nuclei and possible relation to IBM-2

et al. 1983

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The broken-pair model is used to study the nature of collective pair structure in even nuclei and a possible connection with the interacting-boson model IBM-2. In our selfconsistent treatment there is no particle-hole ambiguity, such as has been reported in recent literature. We find that about four particles away from a closed shell, for both protons and neutrons, the collective 2 + (D-pair) structure becomes roughly independent of mass number due to the proton-neutron force. Only near the closed shell pronounced fermion configurations show up. The same is true for the 3-(F-pair). In lighter nuclei, the 20

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“…These values were obtained from phenomenological fits to spectroscopic data and are unrelated to the single particle energies used in this work, but it is possible to obtain the Hamiltonian parameters on a completely microscopic basis using the single particle energies as it was done in Ref. [31].…”

Section: Theoretical Descriptionmentioning

confidence: 99%

“…Here the generalized seniority v is a quantum number used to label the states of each subspace as |n,v,α,J , where n indicates the number of protons or neutrons, J is the angular momentum, and α contains all further quantum numbers required to uniquely specify the state. The pair structure coefficients α ρ,j and β ρ,jj can be obtained in different ways [26][27][28][29][30][31]. Here we followed the method described in Ref.…”

Section: Theoretical Descriptionmentioning

confidence: 99%

“…Here we followed the method described in Ref. [31], in which S † ρ and D † ρ,M create the energetically lowest 0 + and 2 + two-fermion states appropriate to a nucleus with two particles or two holes outside a closed shell. By using this method some possible renormalization (polarization) effects induced by the neutron-proton interaction are included approximately.…”

Section: Theoretical Descriptionmentioning

confidence: 99%

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Occupation probabilities of single particle levels using the microscopic interacting boson model: Application to some nuclei of interest in neutrinoless double-βdecay

Kotila

Barea

2016

Phys. Rev. C

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. (2016). Occupation probabilities of single particle levels using the microscopic interacting boson model: Application to some nuclei of interest in neutrinoless double-β decay. Physical Review C, 94 (3), 034320. doi:10.1103/PhysRevC.94.034320 2016 PHYSICAL REVIEW C 94, 034320 (2016) Occupation probabilities of single particle levels using the microscopic interacting boson model:Application to some nuclei of interest in neutrinoless double-β decay We have developed a new method to calculate the occupancies of single particle levels in atomic nuclei. This method has been developed in the context of the microscopic interacting boson model, in which neutron and proton degrees of freedom are treated explicitly. The energies of the single particle levels constitute a very important input for the calculation of the occupancies in this method. In principle these energies can be considered as input parameters that can be fitted to reproduce the experimental occupancies. Instead of fitting, in this study we have extracted the single particle energies from experimental data on nuclei with a particle more or one particle less than a shell closure. We provide the sets of these single particle energies suitable for several major shells and apply our method to calculate the occupancies of several nuclei of interest in neutrinoless double-β decay using these sets. Our results are compared with other theoretical calculations and experimental occupancies, when available.

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The microscopic Interacting Boson Model for nondegenerate orbits

Cited by 94 publications

References 26 publications

Generalized seniority for the shell model with realistic interactions

Generalized seniority for the shell model with realistic interactions

Correlated-pair structure in nuclei and possible relation to IBM-2

Occupation probabilities of single particle levels using the microscopic interacting boson model: Application to some nuclei of interest in neutrinoless double-βdecay

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