Exact results for EPR g and A tensors in the S1 = 1, 3/2, 2, 5/2 and S2 = 1/2 spin-coupled systems. The effect when S is not a good quantum number

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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ChemInform Abstract: Exact Results for EPR g and A Tensors in the S, = 1, 3/2, 2, 5/2 and S2 = 1/2 Spin- Coupled Systems.

Chemischer Informationsdienst ◽

10.1002/chin.198640041 ◽

1986 ◽

Vol 17 (40) ◽

Author(s):

W. B. EULER

Keyword(s):

Coupled Systems ◽

Exact Results

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Tz = ±1 → 0 ISOSPIN SYMMETRY GAMOW-TELLER TRANSITIONS IN pf-SHELL NUCLEI

Modern Physics Letters A ◽

10.1142/s0217732310000861 ◽

2010 ◽

Vol 25 (21n23) ◽

pp. 2003-2005 ◽

Cited By ~ 2

Author(s):

Y. FUJITA ◽

T. ADACHI ◽

H. FUJITA ◽

Y. SHIMBARA ◽

RCNP High Resolution ³He, t collabo ◽

...

Keyword(s):

Quantum Number ◽

Charge Exchange ◽

Nuclear Physics ◽

Isospin Symmetry ◽

Exchange Reactions ◽

Good Quantum Number ◽

Key Issues ◽

Pf Shell ◽

Gamow Teller

Studying the Gamow-Teller (GT) transitions of stable as well as unstable pf-shell nuclei is one of the key issues in nuclear and astro-nuclear physics. Under the assumption that isospin T is a good quantum number, symmetry is expected for mirror nuclei and the GT transitions starting from the mirror nuclei. We study the GT transitions starting from Tz = ±1 mirror nuclei, respectively, by means of hadronic (3 He , t) charge-exchange reactions and complementary β decays.

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Dipole States in 86Sr, 88Sr and 90Zr

Australian Journal of Physics ◽

10.1071/ph740021 ◽

1974 ◽

Vol 27 (1) ◽

pp. 21 ◽

Cited By ~ 4

Author(s):

RP Robertson

Keyword(s):

Shell Model ◽

Quantum Number ◽

Ground State ◽

Residual Interaction ◽

Ground State Wavefunction ◽

Model Method ◽

Good Quantum Number ◽

Realistic Force

A shell model method for calculating dipole states in N > Z even nuclei is discussed. By assuming isospin to be a good quantum number, the spectrum resolves into two classes of states differing in isospin. Applications of this model to 88Sr and 90Zr essentially differ from previous calculations by the use of a new realistic force in the residual interaction. Dipole states in 86Sr are also investigated along with the effect of correlating the ground state wavefunction

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Manifestations of isospin in nearest neighbor spacing distributions for the f-p model space

International Journal of Modern Physics E ◽

10.1142/s0218301317500604 ◽

2017 ◽

Vol 26 (10) ◽

pp. 1750060

Author(s):

Michael Quinonez ◽

Arun Kingan ◽

Larry Zamick

Keyword(s):

Energy Level ◽

Quantum Number ◽

Nearest Neighbor ◽

Model Space ◽

Strong Interactions ◽

Good Quantum Number ◽

Text Model

The strong interactions are charge independent. If we limit ourselves to the strong interactions, we have the isospin [Formula: see text] as a good quantum number. Here, we consider the lack of level repulsion of states of different isospin and how this effect manifests in nearest neighbor spacing (NNS) histograms, which provide a visual and statistical context in which to study distributions of energy level spacings. In particular, we study nucleons in the [Formula: see text] model space for the nucleus [Formula: see text]. We also compare NNS distributions produced in the isospin formalism to distributions produced in the proton–neutron formalism.

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