Shell-model operator for K -band splitting

Naqvi, H.A.; Draayer, J.P.

doi:10.1016/0375-9474(90)90313-B

Shell-model operator for K -band splitting

1990

14 pages

Published in:

Nucl.Phys.A 516 (1990) 351-364

Published: 1990

DOI:

10.1016/0375-9474(90)90313-B

View in:

Nuclear Science References

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Abstract: (Elsevier)

A microscopic shell-model operator that generates K -band splitting is introduced. An analytic matrix representation for this K 2 operator is given in angular momentum projected states of the SU(3) ⊃ SO(3) group reduction. The K 2 operator can also be used to resolve multiple occurrences of L -values in SU(3) representations, that is, it provides for a resolution of the SU(3) ⊃ SO(3) state labelling problem. Results for the leading SU(3) representations of 24 Mg and 168 Er, with ( λ , μ ) = (8, 4) and (30, 8) respectively, are presented to show that K 2 is very nearly diagonal in an angular momentum projected SU(3) ⊃ SO(3) basis. An analysis of K -band splitting for 24 Mg and 168 Er is used to demonstrate the utility of the theory for carrying out shell-model calculations.

References(39)

Figures(0)

[1]

Nuclear Energy Level Argument for a Spheroidal Nuclear Model

James Rainwater
(
- Columbia U.
)

- Phys.Rev. 79 (1950) 432-434
•
DOI:
- 10.1103/PhysRev.79.432

[2]

Dan.Vid.Selsk.Mat.Fys.Medd.,29

S.G. Nilsson

[3]

Pairing, temperature, and deformed-shell effects on the properties of superdeformed Dy-152 nucleus

Jerzy Dudek
(
- Oak Ridge and
- Strasbourg, CRN
)
,
B. Herskind
(
- Unlisted
)
,
W. Nazarewicz
(
- Warsaw U. of Tech.
)
,
Z. Szymanski
(
- Strasbourg, CRN and
- Warsaw U.
)
,
Tomasz R. Werner
(
- Strasbourg, CRN and
- Warsaw U.
)

- Phys.Rev.C 38 (1988) 940-952
•
DOI:
- 10.1103/PhysRevC.38.940

[4]

Schmidt
,
Th.

- Z.Phys. 106 (1937) 358

[5]

G. Beck

- Z.Phys. 47 (1928) 407

[5]

G. Beck

- Z.Phys. 50 (1928) 548

[5]

G. Beck

- Z.Phys. 61 (1930) 615

[6]

On Closed Shells in Nuclei

Maria G. Mayer
(
- Argonne and
- Chicago U.
)

- Phys.Rev. 74 (1948) 235-239
•
DOI:
- 10.1103/PhysRev.74.235

[7]

Single Crystal Growth of Scheelite

- Phys.Rev. 75 (1949) 320-320
•
DOI:
- 10.1103/PhysRev.75.320

[8]

E. Feenberg
,
K.C. Hammack
,
L.W. Nordheim

- Phys.Rev. 75 (1949) 1698

[8]

E. Feenberg
,
G. Trigg

- Rev.Mod.Phys. 22 (1950) 399

[9]

On closed shells in nuclei. 2

Maria Goeppert Mayer
(
- Argonne, PHY and
- Chicago U.
)

- Phys.Rev. 75 (1949) 1969-1970
•
DOI:
- 10.1103/PhysRev.75.1969

[9]

M.G. Mayer

- Phys.Rev. 78 (1950) 16

[10]

On the "Magic Numbers" in Nuclear Structure

- Phys.Rev. 75 (1949) 11, 1766-1766
•
DOI:
- 10.1103/PhysRev.75.1766.2

[10]

- Z.Phys. 128 (1950) 295

[11]

Elementary theory of nuclear shell structure

M.G. Mayer
,
J.H.D. Jensen

[12]

O. Castaños
,
J.P. Draayer
,
Y. Leschber

- Z.Phys.A 329 (1988) 33

[13]

Algebraic image of the asymmetric top

Y. Leschber

[13]

- Hadronic J.Supp. 3 (1987) 95

[14]

Symmetries in science II

J.P. Draayer
,
Y. Leschber

[15]

Group theoretical concepts and methods in elementary particle physics

G. Racah

[16]

Construction of irreducible representations of SU(3)

R.N. Sen

[17]

V. Bargmann
,
M. Moshinsky

- Nucl.Phys. 18 (1960) 697

[17]

V. Bargmann
,
M. Moshinsky

- Nucl.Phys. 23 (1961) 177

[18]

Collective motion in the nuclear shell model. 1. Classification schemes for states of mixed configuration

J.P. Elliott

- Proc.Roy.Soc.Lond.A 245 (1958) 128
•
DOI:
- 10.1098/rspa.1958.0072

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