K-Isomers in Deformed Nuclei

Jain, Ashok Kumar; Maheshwari, Bhoomika; Goel, Alpana

doi:10.1007/978-3-030-78675-5_5

Cited by 8 publications

(30 citation statements)

References 74 publications

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“…We have recently examined the goodness of seniority and generalized seniority in the behavior of the excitation energy, electromagnetic transition rates like B(EL) and B(ML) trends, Q−moments and magnetic moments, or g-factor values [11][12][13][14][15][16][17]. In this paper, we extend our studies to the single-particle transfers in a multi-j generalized seniority approach.…”

Section: Generalized Senioritymentioning

confidence: 87%

“…Various studies of spectroscopic factors in Sn isotopes have been attempted via (d,p) stripping reactions by many authors [4][5][6][7][8][9][10]. Our recent studies based on the generalized seniority approach [11][12][13][14][15][16][17] have encouraged us to extend this approach to the spectroscopic factors. The present paper is the first attempt, to the best of our knowledge, to calculate the variation of spectroscopic factors in a chain of odd-mass Sn isotopes, by using the generalized seniority approach.…”

Section: Introductionmentioning

confidence: 99%

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A generalized seniority approach to the prediction of spectroscopic factors in odd-mass Sn isotopes

Maheshwari¹,

Kassim²,

Yusof³

et al. 2019

Preprint

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We present a study of the spectroscopic factors for the (d,p) stripping reactions to the 11/2 − states in the chain of odd-mass Sn (A = 115 − 131) isotopes by using a multi-j generalized seniority approach. The results are in line with realistic shell model calculations and explain the experimental trend quite well. The multi-j configuration used in these calculations is consistent with earlier calculations for moments etc., and therefore, lends credence to the generalized seniority interpretation. To the best of our knowledge, this work presents the first calculation of spectroscopic factors from such an approach.

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Section: Generalized Senioritymentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

A generalized seniority approach to the prediction of spectroscopic factors in odd-mass Sn isotopes

Maheshwari¹,

Kassim²,

Yusof³

et al. 2019

Preprint

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“…Talmi further incorporated the non-degeneracy of the multi-j orbitals by using S + = j α j S + j , where α j are the mixing coefficients [23,24]. Our recent extension of this scheme for multi-j degenerate orbitals by defining S + = j (−1) lj S + j , as proposed by Arvieu and Moszokowski [25], led to a new set of generalized seniority selection rules [12,13,14,15,16,17,18]. Here l j denotes the orbital angular momentum of the given-j orbital.…”

Section: Theoretical Formalism and Key Features 21 Seniority And Gene...mentioning

confidence: 99%

“…Our recent studies of the seniority scheme and the generalized seniority scheme [12,13,14,15,16,17,18] has offered a simplified view of the complex structure of various states in semi-magic nuclei and successfully explained a number of spectroscopic properties like the energy spectra, B(EL) trends, halflives, g-factor trends, Q-moments etc. A new kind of seniority isomers in Sn isotopes has been found and related generalized seniority selection rules were quoted [12].…”

Section: Introductionmentioning

confidence: 99%

A unified view of the first-excited $2^+$ and $3^-$ states of Cd, Sn and Te isotopes

Maheshwari

2020

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Symmetries are known to play an important role in the low lying level structure of Sn isotopes, mostly in terms of the seniority and generalized seniority schemes. In this paper, we revisit the multi-j generalized seniority approach for the first excited 2 + and 3 − states in the Cd (Z = 48), Sn (Z = 50) and Te (Z = 52) isotopes, where the Cd and Te isotopes represent two-proton hole and two-proton particle nuclei, thus involving both kind of particles (protons and neutrons) in contrast to Sn isotopes. Interestingly, the approach based on neutron valence space alone is able to explain the B(E2) and B(E3) trends respectively for the 2 + and 3 − states in all the three Cd, Sn and Te isotopes. The new results on the inverted parabolic behavior of B(E3) values in Cd and Te isotopes are understood in a manner identical to that of Sn isotopes by using the generalized seniority scheme. No shell quenching is supported by these calculations; hence, the neutron magic numbers, N = 50 and N = 82, remain robust in these isotopic chains. It is quite surprising that the generalized seniority continues to be reasonably successful away from the semi-magic region, thus providing a unifying view of the 2 + and 3 − states.

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“…The Atlas of Nuclear Isomers has allowed us to identify many systematic features in these isomers [1]. Some of these features have been understood by using the generalized seniority scheme for identical nucleons [11][12][13][14][15]. As a result, we could establish a new set of selection rules and also a new kind of seniority isomers, which decay by odd tensor electric transitions [11].…”

Section: Introductionmentioning

confidence: 99%

Parallel tale of seniority isomers in 130Cd and 206Hg: Testing the robustness of magic numbers

Maheshwari,

Kassim,

Yusof

et al. 2019

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Background: The neutron-rich nuclei 130 Cd and 206 Hg, so important in the astrophysical processes, may also be useful in tracking the evolution of nuclear shell gaps as one traverses the neutron-rich region. The high spin 8 + isomer in 130 Cd and the 10 + isomer in 206 Hg turn out to be the lamp posts, which may shed light on the shell gaps and validity of the seniority scheme in the neutron-rich systems. Purpose: We explore the robustness of the N=82 and N=126 magic numbers in the neutron-rich 130 Cd and 206 Hg nuclides, respectively. A parallel between the two nuclides in terms of the high-spin isomers allows us to investigate these waiting-point nuclei, which have limited experimental data, by using the concept of seniority as the stepping stone. Method: In this paper, we report large scale shell model calculations by using the available realistic effective interactions derived from the Charge Dependent Bonn potential through the renormalized G matrix. We also explore if any change in the interaction is also required to consistently explain both the level structures as well the B(E2) values.Results: The shell model calculations with the standard jj45pna and CW G interactions explain the B(E2) values quite well in 130 Cd and 206 Hg, respectively. However, a consistent description of the level schemes as well as the B(E2)s requires a modification of the interaction in terms of the two-body matrix elements of Πg −2 9/2 and Πh −2 11/2 , for 130 Cd and 206 Hg, respectively. A structural similarity between the 8 + isomer in 130 Cd and the 10 + isomer in 206 Hg is noticed due to goodness of seniority. They are found to possess a maximally aligned, seniority v = 2 configuration from their respective intruder orbits. Conclusion:The two isomeric states turn out to be pure seniority meta-stable states, where the highest j value involved is j = 9/2 and 11/2. No shell quenching seems to be needed for the seniority isomers in these nuclei. Therefore, N=82 and 126 appear to be very robust magic numbers even in the neutron-rich region.

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K-Isomers in Deformed Nuclei

Cited by 8 publications

References 74 publications

A generalized seniority approach to the prediction of spectroscopic factors in odd-mass Sn isotopes

A generalized seniority approach to the prediction of spectroscopic factors in odd-mass Sn isotopes

A unified view of the first-excited $2^+$ and $3^-$ states of Cd, Sn and Te isotopes

Parallel tale of seniority isomers in 130Cd and 206Hg: Testing the robustness of magic numbers

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