New ‘‘Octupole-driving particle numbers’’ from examination of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi mathvariant="normal">−</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math>state energies

Cottle, P. D.

doi:10.1103/physrevc.42.1264

Cited by 25 publications

(10 citation statements)

References 5 publications

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“…Viewing the potential energy curve for the tetrahedral solution in 80 Zr, we can expect not a rigid deformation but rather a transitional situation between the tetrahedron rotation and the octupole vibration around the spherical state. From the experimental systematics of the first 3 − excitation energy in the neighboring mass region [27], a typical octupole vibrational energy is about a few MeV. Using this estimate and the calculated potential energy curve for the α 32 direction, amplitude associated with the transitional tetrahedral excitation is estimated to be about α 32 (β 3 ) ∼ 0.3.…”

Section: Spectral Signaturesmentioning

confidence: 97%

Non-axial octupole deformations of N=Z nuclei in A∼60–80 mass region

Matsuo¹,

Takami²,

Yabana³

1999

AIP Conference Proceedings

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By performing a fully three dimensional Hartree-Fock calculation with use of the Skyrm forces, we demonstrate possibility of exotic deformations violating both the reflection and the axial symmetries of N = Z nuclei in A ∼ 60 − 80 mass region. The Y 32 tetrahedral shape predicted in excited 80 Zr arises from a shell gap at N, Z = 40 which is enhanced for the tetrahedron deformation. Softness toward the Y 33 triangular deformation of the oblate state in 68 Se is also predicted.

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Section: Spectral Signaturesmentioning

confidence: 97%

Non-axial octupole deformations of N=Z nuclei in A∼60–80 mass region

Matsuo¹,

Takami²,

Yabana³

1999

AIP Conference Proceedings

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“…Values of B(E3)↑ are frequently deduced by analyzing the angular distributions of inelastically scattered nuclear particles (that is, protons (p), neutrons (n), deuterons (d), 3 He, 4 He, etc.). Such analyses may be performed using a variety of procedures-for example, distorted-wave Born approximation, folding-model, and coupled-channel calculations, usually assuming some particular nuclear-structure model.…”

Section: Angular Distributions Of Inelastically Scattered Nucleons Anmentioning

confidence: 99%

“…In view of (i) the substantial use that has been made of that compilation (see, for example, Refs. [2][3][4][5][6][7]), (ii) the continuing interest in octupole contributions to nuclear phenomena (see, for example, Refs. [8][9][10]), and (iii) the desirability of further data to confirm indications of structure in the mass dependence of octupole strength [1,11], an update seems timely.…”

Section: Introductionmentioning

confidence: 99%

“…[1], although the precision of the data has increased significantly (Table A). It is to be hoped that the increasing use of radioactive ion beams to determine transition strengths in unstable 3 Deformation length deduced in the experiment, in fm (δ 3 = β 3 R, where R is the nuclear radius). β 3 Deformation parameter deduced in the experiment (values in square brackets are calculated from δ 3 assuming R = 1.20A 1/3 fm).…”

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confidence: 99%

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Reduced Electric-Octupole Transition Probabilities, B(e3;01+→31−)—an Update

Kibédi

Spear

2002

Atomic Data and Nuclear Data Tables

388

234

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“…The goodness of generalized seniority explains the particle number independent energy variation throughout the full chain for these states. The very first excited 3states are usually explained as octupole vibrational states in even-even Sn isotopes [46,47]. A peak in the middle can be seen in the measured B(E3) values of these states [48].…”

Section: Twin B(e2) Parabolas For the First Excited 2 + Statesmentioning

confidence: 99%

Goodness of Generalized Seniority in Even-even Sn Isotopes.

Maheshwari

2019

J. Nucl. Phy. Mat. Sci. Rad. A.

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Seniority has proved to be a unique and simple probe to address some of the complex issues underlying nuclear structure of nuclei close to magic numbers. An extension from the concept of seniority in single-j shell to generalized seniority in multi-j shell has recently been provided by us. We have, consequently, established new selection rules for gamma decays and discovered the new seniority isomers decaying via odd electric multipole operators. We have successfully explained the B(EL; L=1,2,3) behavior of various high spin isomers and other excited states. More specifically, we have been able to explain the long-standing puzzle of double hump in the B(E2) values for the first excited 2+ states of even-even Z=50 (Sn) isotopes. In the present paper, we review these generalized seniority calculations with emphasis on even-even Sn isotopes. We first discuss the generalized seniority results for the E1 decaying 13- isomers and E2 decaying 10+, 15- isomers, and then present the cases of first-excited 2+ and 3- states. The generalized seniority proves out to be a reasonably good quantum number. The significance of configuration mixing is found to be true. The calculated results has been validated till high seniority v=4 states and expected to be valid for higher seniority v=6,… states also.

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New ‘‘Octupole-driving particle numbers’’ from examination of31−state energies

Cited by 25 publications

References 5 publications

Non-axial octupole deformations of N=Z nuclei in A∼60–80 mass region

Non-axial octupole deformations of N=Z nuclei in A∼60–80 mass region

Reduced Electric-Octupole Transition Probabilities, B(e3;01+→31−)—an Update

Goodness of Generalized Seniority in Even-even Sn Isotopes.

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