Isotopic-Shift Parameters in the Nilsson Model

R. Y. Cusson; B. Castel

doi:10.1103/PhysRevLett.23.871

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Isotopic-Shift Parameters in the Nilsson Model

R. Y. Cusson

B. Castel

Atomic Energy of Canada Limited, Chalk River Nuclear Laboratories, Chalk River, Ontario, Canada

Physics Department, Queen's University, Kingston, Ontario, Canada

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Phys. Rev. Lett. 23, 871 – Published 13 October, 1969

DOI: https://doi.org/10.1103/PhysRevLett.23.871

Abstract

Fradkin's "compressibility under deformation" parameter $ξ$ is calculated using the deformed Nilsson model of the nucleus. Numerical values in the range $- 0.21 <~ ξ <~ + 0.26$ are obtained for ${}_{62}{Sm}$ , ${}_{64}{Gd}$ , ${}_{70}{Yb}$ , and ${}_{92}U$ and for $- 0.1 <~ β_{ω} <~ + 0.3$ , to be compared with the empirical value $ξ \sim - 0.2 \pm 0.1$ . It is suggested that the effect comes from the saturation property of the nuclear force.

References (18)

R. D. Ehrlich et al., Phys. Rev. Letters 18, 959 (1967)
R. D. Ehrlich et al.Proceedings of the International Conference on Electromagnetic Sizes of Nuclei, Ottawa, Canada, 22-27 May 1967, edited by D. J. Brown, M. K. Sundaresan, and R. D. Barton (Carleton University Press, Ottawa, Canada, 1968)
L. Grodzins, in International Symposium on Nuclear Structure, Dubna, 1968 (International Atomic Energy Agency, Vienna, Austria, 1969)
D. N. Stacey, Rept. Progr. Phys. 29, 171 (1966)
G. W. Greenlees et al., Phys. Rev. 171, 1115 (1968)
B. Holmqvist and T. Wiedling, Phys. Letters 27B, 411 (1968)
E. E. Fradkin, Zh. Eksperim. i Teor. Fiz. 42, 787 (1962) [translation: Soviet Phys.-JETP 15, 550 (1962)]
R. Y. Cusson and B. Castel, Can. J. Phys. 47, 1189 (1969)
A. Bohr, Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 26, No. 14 (1952)
A. R. Bodmer, Nucl. Phys. 9, 371 (1959) F. A. Babushkin, Zh. Eksperim. i Teor. Fiz. 45, 1479 (1963) [translation: Soviet Phys.-JETP 18, 1022 (1963)] A. F. Golovin, Yadern. Fiz. 5, 755 (1967) [translation: Soviet J. Nucl. Phys. 5, 535 (1967)]
S. G. Nilsson, Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 29, No. 16 (1955)
B. R. Mottelson, The Many-Body Problem (John Wiley & Sons, Inc., New York, 1959), p. 286
A. Lande, Phys. Rev. Letters 18, 496 (1967)
R. Y. Cusson, to be published
A. R. Striganov and N. A. Kulazhenkova, Opt. i Spektroskopiya 16, 936 (1964) [translation: Opt. Spectry. (USSR) 16, 507 (1964)] H. Kopferman, L. Krüger, and A. Steudel, Ann. Physik 20, 258 (1957)
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[c1] R. D. Ehrlich et al., Phys. Rev. Letters 18, 959 (1967)

[c2] R. D. Ehrlich et al.Proceedings of the International Conference on Electromagnetic Sizes of Nuclei, Ottawa, Canada, 22-27 May 1967, edited by D. J. Brown, M. K. Sundaresan, and R. D. Barton (Carleton University Press, Ottawa, Canada, 1968)

[c3] L. Grodzins, in International Symposium on Nuclear Structure, Dubna, 1968 (International Atomic Energy Agency, Vienna, Austria, 1969)

[c4] D. N. Stacey, Rept. Progr. Phys. 29, 171 (1966)

[c5] G. W. Greenlees et al., Phys. Rev. 171, 1115 (1968)

[c6] B. Holmqvist and T. Wiedling, Phys. Letters 27B, 411 (1968)

[c7] E. E. Fradkin, Zh. Eksperim. i Teor. Fiz. 42, 787 (1962) [translation: Soviet Phys.-JETP 15, 550 (1962)]

[c8] R. Y. Cusson and B. Castel, Can. J. Phys. 47, 1189 (1969)

[c9] A. Bohr, Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 26, No. 14 (1952)

[c10] A. R. Bodmer, Nucl. Phys. 9, 371 (1959) F. A. Babushkin, Zh. Eksperim. i Teor. Fiz. 45, 1479 (1963) [translation: Soviet Phys.-JETP 18, 1022 (1963)] A. F. Golovin, Yadern. Fiz. 5, 755 (1967) [translation: Soviet J. Nucl. Phys. 5, 535 (1967)]

[c11] S. G. Nilsson, Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 29, No. 16 (1955)

[c12] B. R. Mottelson, The Many-Body Problem (John Wiley & Sons, Inc., New York, 1959), p. 286

[c13] A. Lande, Phys. Rev. Letters 18, 496 (1967)

[c14] R. Y. Cusson, to be published

[c15] A. R. Striganov and N. A. Kulazhenkova, Opt. i Spektroskopiya 16, 936 (1964) [translation: Opt. Spectry. (USSR) 16, 507 (1964)] H. Kopferman, L. Krüger, and A. Steudel, Ann. Physik 20, 258 (1957)

[c16] D. Ward, to be published I. A. Fraser, J. S. Greenberg, S. H. Sie, and R. G. Stokstad, Bull. Am. Phys. Soc. 14, 556 (1969)

[c17] D. Yeboah-Amankwah, L. Grodzins, and R. B. Frankel, Phys. Rev. Letters 18, 791 (1967)

[c18] S. T. Belyaev, Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 31, No. 11 (1959)

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Isotopic-Shift Parameters in the Nilsson Model

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