Collective bands and deformations in<sup>76-82</sup>Sr

Tripathy, K. C.; Sahu, R.

doi:10.1088/0954-3899/20/6/007

Cited by 20 publications

(11 citation statements)

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“…Kuo effective interaction has been quite successfully used by us in describing many important features of nuclei in A ∼ 60-80 region. In particular, shape coexistence in spectra, observed B(E2) values, identical bands, band crossings, and deformations in 76,78,80,82,84 Sr isotopes are well described by DSM[17,28]. First we will describe briefly the earlier spectroscopic results for 84 Sr.…”

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confidence: 87%

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DEFORMED SHELL MODEL RESULTS FOR TWO-NEUTRINO POSITRON DOUBLE BETA DECAY OF ⁸⁴Sr

Sahu

Kota

2011

Int. J. Mod. Phys. E

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Half-lives T 2ν 1/2 for two neutrino positron double beta decay modes β + EC/ECEC are calculated for 84 Sr, a nucleus of current experimental interest, within the framework of the deformed shell model based on Hartree-Fock states employing a modified Kuo interaction in ( 2 p 3/2 , 1 f 5/2 , 2 p 1/2 , 1 g 9/2 ) space. For a reasonable description of the spectra of 84 Sr and 84 Kr and to generate allowed GT strengths, the single particle energies of the proton and neutron 1 g 9/2 orbitals, relative to the 2 p 3/2 orbital energy, are chosen to be (3.5 MeV, 1.5 MeV) for both 84 Sr and 84 Rb and (1.5 MeV, 1.5 MeV) for 84 Kr. With this, the calculated half-lives for the β + EC and ECEC modes are ∼ 10 26 yr and ∼ 4 × 10 24 yr respectively.

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confidence: 87%

“…Over the years, the DSM model based on Hartree-Fock states has been used to study with considerable success: (i) spectroscopic properties, such as band structures, shapes, nature of band crossings, electromagnetic transition probabilities and so on in A=64-80 nuclei [15][16][17][18][19][20];…”

Section: Introductionmentioning

confidence: 99%

DEFORMED SHELL MODEL RESULTS FOR TWO-NEUTRINO POSITRON DOUBLE BETA DECAY OF ⁸⁴Sr

Sahu

Kota

2011

Int. J. Mod. Phys. E

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“…The reasons for ignoring the oblate intrinsic states in strontium isotopes have been discussed in detail in our earlier publication [8]. We find in our band-mixing calculation that oblate states do not mix in any significant way with the prolate states and thus do not affect the results for spectroscopy or electromagnetic transitions.…”

Section: Details Of the Modelmentioning

confidence: 55%

“…Various phenomenological models such as the interacting boson model and the particle-rotor model are also used to describe nuclei in this region. In the last several years, we have studied nuclei in this region using our deformed shell model [2,[6][7][8][9][10]. Our microscopic model has been quite successful in describing many properties of the nuclei in this region.…”

Section: Introductionmentioning

confidence: 99%

Collective bands in ^80,82Kr

Mishra¹,

Tripathy²,

Sahu³

2007

Can. J. Phys.

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Deformed shell-model calculations are performed to study the structure of the collective bands in 80,82 Kr. In our microscopic model, the single particle orbits 1p 3/2 , 0f 5/2 , 1p 1/2 , and 0g 9/2 constitute the configuration space with 56 Ni as the inert core. A modified Kuo interaction for this basis space is used in our calculation. The different levels are classified into collective bands on the basis of the B(E2) values among them. The calculated ground bands and quasi-gamma bands for both the nuclei agree reasonably well with experiment. The negative parity bands are also well-reproduced in our calculation. The calculated B(E2) values are compared with available experimental data. The nature of angular momentum alignment in the ground band is also discussed.Résumé : Nous exécutons des calculs dans le modèle en couches déformées pour étudier les bandes collectives des noyaux 80,82 Kr. Dans ce modèle microscopique, les orbites de valence sont les 1p 3/2 , 0f 5/2 , 1p 1/2 et 0g 1/2 , sur un coeur inerte de 56 Ni. Nous utilisons une interaction de Kuo modifiée. Les différents niveaux obtenus sont classés en bandes collectives sur la base des valeurs de B(E2) entre eux. Les résultats pour la bande du fondamental et la bande quasi-gamma se comparent favorablement avec les résultats expérimentaux. Nous reproduisons également bien les bandes de parité négative. Les valeurs calculées des B(E2) sont comparées aux valeurs expérimentales. Nous étudions également la nature de l'alignement du moment dans la bande du fondamental.[Traduit par la Rédaction]

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“…Over the last many years, the Deformed Shell Model (DSM) (based on Hartree-Fock states) has been used to study various properties of nuclei in the mass A=60-90 region (also in A=44-60) with reasonable success. They include: (i) spectroscopic properties such as band structures, shapes and shape coexistence, nature of band crossings, electromagnetic transition probabilities [17][18][19][20][21][22]; (ii) T = 1 and T = 0 bands in N=Z odd-odd nuclei and T = 1/2 bands in odd-A nuclei by including isospin projection [23][24][25]; (iii) transition matrix elements for µ − e conversion in 72 Ge [26] and in the analysis of data for inelastic scattering of electrons from f p-shell nuclei [27]. More importantly, this model has also been used for studying 2ν double beta decay, in a first attempt, for 76 Ge → 76 Se in [28] with reasonable success.…”

Section: Introductionmentioning

confidence: 99%

Deformed shell model results for neutrinoless double beta decay of nuclei in A = 60 - 90 region

Sahu

Kota

2015

Int. J. Mod. Phys. E

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Nuclear transition matrix elements (NTME) for the neutrinoless double beta decay of 70 Zn, 80 Se and 82 Se nuclei are calculated within the framework of the deformed shell model based on HartreeFock states. For 70 Zn, jj44b interaction in 2 p 3/2 , 1 f 5/2 , 2 p 1/2 and 1 g 9/2 space with 56 Ni as the core is employed. However, for 80 Se and 82 Se nuclei, a modified Kuo interaction with the above core and model space are employed. Most of our calculations in this region were performed with this effective interaction. However, jj44b interaction has been found to be better for 70 Zn. The above model space was used in many recent shell model and interacting boson model calculations for nuclei in this region. After ensuring that DSM gives good description of the spectroscopic properties of low-lying levels in these three nuclei considered, the NTME are calculated. The deduced half-lives with these NTME, assuming neutrino mass is 1 eV, are 1.1 × 10 26 yr, 2.3 × 10 27 yr and 2.2 × 10 24 yr for 70 Zn, 80 Se and 82 Se, respectively.

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Collective bands and deformations in^76-82Sr

Cited by 20 publications

References 29 publications

DEFORMED SHELL MODEL RESULTS FOR TWO-NEUTRINO POSITRON DOUBLE BETA DECAY OF ⁸⁴Sr

DEFORMED SHELL MODEL RESULTS FOR TWO-NEUTRINO POSITRON DOUBLE BETA DECAY OF ⁸⁴Sr

Collective bands in ^80,82Kr

Deformed shell model results for neutrinoless double beta decay of nuclei in A = 60 - 90 region

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Collective bands and deformations in76-82Sr

Cited by 20 publications

References 29 publications

DEFORMED SHELL MODEL RESULTS FOR TWO-NEUTRINO POSITRON DOUBLE BETA DECAY OF 84Sr

DEFORMED SHELL MODEL RESULTS FOR TWO-NEUTRINO POSITRON DOUBLE BETA DECAY OF 84Sr

Collective bands in 80,82Kr

Deformed shell model results for neutrinoless double beta decay of nuclei in A = 60 - 90 region

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Collective bands and deformations in^76-82Sr

DEFORMED SHELL MODEL RESULTS FOR TWO-NEUTRINO POSITRON DOUBLE BETA DECAY OF ⁸⁴Sr

DEFORMED SHELL MODEL RESULTS FOR TWO-NEUTRINO POSITRON DOUBLE BETA DECAY OF ⁸⁴Sr

Collective bands in ^80,82Kr