Symmetries in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>g</mml:mi><mml:mrow><mml:mn>9</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>shell

Zamick, Larry; Escuderos, A.

doi:10.1103/physrevc.86.047306

Cited by 4 publications

(2 citation statements)

References 22 publications

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“…The study of motivated a number of studies related to a single-j shell; here, we mention Refs. [21][22][23][24][25][26][27][28][29][30][31][32][33][34] without providing further details for completeness.…”

Section: Introductionmentioning

confidence: 99%

Number of states with given spin I and isospin T for n fermions in a j orbit*

Yin¹,

Zhao²

2022

Chinese Phys. C

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Section: Introductionmentioning

confidence: 99%

Number of states with given spin I and isospin T for n fermions in a j orbit*

Yin¹,

Zhao²

2022

Chinese Phys. C

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“…Distortion of good seniority in semimagic nuclei may be caused by three effects, namely (i) by mixing due to a seniority nonconserving interaction, (ii) by configuration mixing with neighboring orbits, and (iii) by core excitation across the shell gap which implies seniority nonconserving proton-neutron interaction. Theoretically the g n 9/2 system has recently received increased interest with respect to seniority [9][10][11], symmetry [12], and aligned proton-neutron pairs [13,14].…”

Section: Introductionmentioning

confidence: 99%

Ultrafast-timing lifetime measurements in Ru94 and Pd96 : Breakdown of the seniority scheme in <

Mach¹,

Korgul²,

Górska³

et al. 2017

Phys. Rev. C

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The advanced time-delayed γ γ (t) method has been applied to determine half-lives of low-lying states in the N = 50 isotones 94 Ru and 96 Pd. The inferred experimental E2 strengths for the 4 + → 2 + transitions in the two nuclei show a dramatic deviation with respect to the shell model predictions in the (f 5/2 ,p,g 9/2 ) proton hole space in 100 Sn. The anomalous behavior can be ascribed to a breakdown of the seniority quantum number in the πg n 9/2 configuration due to particle-hole excitations across the N = Z = 50 shell as confirmed by large-scale shell model calculations.

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Number of spin- J states and odd-even staggering for identical particles in a single- j shell

Pain

2018

Phys. Rev. C

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In this work, new recursion relations for the number of spin-J states for identical particles in a single-j shell are presented. Such relations are obtained using the generating-function technique, which enables one to exhibit an odd-even staggering in the spin distribution of an even number of fermions in a single-j shell: the number of states with an even value of J is larger than the number of states with an odd value of J. An analytical expression of the excess of states with an even value of J is provided, and its asymptotic behavior for large values of j is discussed.

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Symmetries in theg9/2shell

Abstract: We consider symmetries which arise when two-body interaction matrix elements with isopin T = 0 are set equal to a constant in a single-j-shell calculation. The nucleus 96 Cd is used as an example.PACS numbers:

Cited by 4 publications

References 22 publications

Number of states with given spin I and isospin T for n fermions in a j orbit*

Number of states with given spin I and isospin T for n fermions in a j orbit*

Ultrafast-timing lifetime measurements in Ru94 and Pd96 : Breakdown of the seniority scheme in <

Number of spin- J states and odd-even staggering for identical particles in a single- j shell

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