Microscopic Foundations of the Interacting Boson Model from the Shell-Model Point of View

Yoshinaga, N.; Mizusaki, T.; Arima, A.; Devi, Y. D.

doi:10.1143/ptps.125.65

Cited by 48 publications

(29 citation statements)

References 21 publications

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“…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%

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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Section: Theoretical Descriptionmentioning

confidence: 99%

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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“…The microscopic interacting bosons model IBM-1 calculation [2][3][4] is somehow in between the phenomenological and microscopic approaches, in which the parameters of the IBM-1 are determined by mapping a collective shell model subspace to a boson space and then having systematic calculations in the boson space. As a widely used model, the IBM-1 [5] describes the quadrupole collective states of the medium heavy nuclei and provides a unified description of collective nuclear states in terms of a system of interacting bosons.…”

Section: Introductionmentioning

confidence: 99%

Microscopic description of energy-levels for even-even 124-134Xe isotopes

Ahmed

2017

AIP Conference Proceedings

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Abstract.The first measured excited states 1 2 E and the ratio of the second to the first measured excited states, the back-bending, the E-GOS and the ratio among the energies of the (I+2) and (I) states as a function of the spin (I) have been drawn to determine the properties of the ground-states band. The odd-even staggering has been drawn to determine the difference between the energies of ground states band (GSB) and negative parity band (NPB). Bohr-Mottelson Model ( BM ), Interacting Boson Model ( IBM-1 ), Interacting Vector Boson Model ( IVBM ) and Doma-El-Gendy (D-G) relation have been used to calculate the energy levels of (GSB), IBM-1 has been used to calculate the energy of the gamma band (GB), while IVBM and BM have been used to calculate the energy levels of (NPB). The calculated energy levels in comparison with the measured data indicated the quality of the fitness presented in this work.

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“…The low-lying states, showing a rich collective structure in this region, were investigated extensively in terms of various models, such as the interacting boson model (IBM) [2][3][4][5][6][7][8][9][10][11][12][13], the fermion dynamical symmetry model (FDSM) [14][15][16], the pair-truncated shell model (PTSM) [17][18][19][20][21][22], and the nucleon-pair shell model [23][24][25][26]. Some phenomenological IBM calculations as in Ref.…”

Section: Introductionmentioning

confidence: 99%

Systematic studies of nuclei around mass 130 in the pair-truncated shell model

Yoshinaga

Higashiyama

2004

Phys. Rev. C

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Systematic studies are carried out for Xe, Ba, Ce, and Nd isotopes within the framework of the pairtruncated shell model where the collective nucleon pairs with angular momenta zero ͑S͒ and two ͑D͒ are assumed to be the building blocks for even-even nuclei. An additional unpaired nucleon is added to the even-even core for a description of odd-mass nuclei. It is found that energy spectra of the low-lying states are nicely reproduced along with intraband and interband E2 transitions, which simulate the typical features of the O(6) limit of the interacting boson model.

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Microscopic Foundations of the Interacting Boson Model from the Shell-Model Point of View

Cited by 48 publications

References 21 publications

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

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

Microscopic description of energy-levels for even-even 124-134Xe isotopes

Systematic studies of nuclei around mass 130 in the pair-truncated shell model

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