Gamma-Ray Yields from Nuclear Reactions and Level Densities of Deformed Nuclei

J. O. Rasmussen; T. T. Sugihara

doi:10.1103/PhysRev.151.992

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Gamma-Ray Yields from Nuclear Reactions and Level Densities of Deformed Nuclei

J. O. Rasmussen and T. T. Sugihara^*

Department of Chemistry and Lawrence Radiation Laboratory, University of California, Berkeley, California

^*Department of Chemistry, Clark University, Worcester, Massachusetts.

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Phys. Rev. 151, 992 – Published 18 November, 1966

DOI: https://doi.org/10.1103/PhysRev.151.992

Abstract

Theoretical calculations of spin distributions of compound nuclei and subsequent neutron-evaporation products are made for 27-MeV alpha particles on ${}^{178}{Hf}$ , 52-MeV alpha particles on ${}^{180}{Hf}$ , and 56-MeV ${}^{11}B$ ions on ${}^{165}{Ho}$ . The first two cases were chosen to match experimental work of Lark and Morinaga. We use our calculations as a basis for interpretation of their relative yield of ${}^{180 m}W$ , the $J = 8^{-}$ isomer, and the $J = 4^{+}$ state of the ground rotational band. We find these yields consistent with the simple assumption that after the last neutron is evaporated to form the excited ${}^{180}W$ nucleus all products with spin $J ≳ 10$ feed into the $8^{-}$ isomer and those with spin $J ≲ 10$ contribute to the prompt radiation from the first $J = 4^{+}$ level. Possible relationships between the course of the gamma-ray cascade and the nature of the Nilsson orbitals nearest the Fermi surface are discussed. Finally, the importance of measuring gamma-ray angular distributions in addition to integrated yields is stressed, and formulas of possible value for the analysis of such angular distributions are collected and presented.

References (14)

R. Vandenbosch and J. R. Huizenga, Phys. Rev. 120, 1313 (1960)
N. D. Dudey and T. T. Sugihara, Phys. Rev. 139, B896 (1965)
N. L. Lark and H. Morinaga, Nucl. Phys. 63, 466 (1965)
F. S. Stephens, N. L. Lark, and R. M. Diamond, Phys. Rev. Letters, 12, 225 (1964) Nucl. Phys. 63, 82 (1965)
G. B. Hansen, B. Elbek, K. A. Hagemann, and W. F. Hornyak, Nucl. Phys. 47, 529 (1963)
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R. M. Diamond, E. Matthias, J. O. Newton, and F. S. Stephens, Phys. Rev. Letters 16, 1205 (1966)
H. Ejiri, M. Ishihara, M. Sakai, K. Katori, and T. Inamura, Phys. Letters 18, 314 (1965)
V. G. Soloviev, At. Energy Rev. 3, 117 (1965)
C. J. Gallagher and V. G. Soloviev, Kgl. Danske Videnskab Selskab Mat. Fys. Skrifter 2, No. 2 (1962)
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[c1] R. Vandenbosch and J. R. Huizenga, Phys. Rev. 120, 1313 (1960)

[c2] N. D. Dudey and T. T. Sugihara, Phys. Rev. 139, B896 (1965)

[c3] N. L. Lark and H. Morinaga, Nucl. Phys. 63, 466 (1965)

[c4] F. S. Stephens, N. L. Lark, and R. M. Diamond, Phys. Rev. Letters, 12, 225 (1964) Nucl. Phys. 63, 82 (1965)

[c5] G. B. Hansen, B. Elbek, K. A. Hagemann, and W. F. Hornyak, Nucl. Phys. 47, 529 (1963)

[c6] J. Burde, R. M. Diamond, and F. S. Stephens, University of California Radiation Laboratory Report No. UCRL-16163 (unpublished) Nucl. Phys. (to be published)

[c7] R. M. Diamond, E. Matthias, J. O. Newton, and F. S. Stephens, Phys. Rev. Letters 16, 1205 (1966)

[c8] H. Ejiri, M. Ishihara, M. Sakai, K. Katori, and T. Inamura, Phys. Letters 18, 314 (1965)

[c9] V. G. Soloviev, At. Energy Rev. 3, 117 (1965)

[c10] C. J. Gallagher and V. G. Soloviev, Kgl. Danske Videnskab Selskab Mat. Fys. Skrifter 2, No. 2 (1962)

[c11] R. J. Blin-Stoyle and M. A. Grace, in Handbuch der Physik, edited by S. Flügge (Springer-Verlag, Berlin, 1957), Vol. 42, p. 555

[c12] L. C. Biedenharn, in Nuclear Spectroscopy, edited by F. Ajzenberg-Selove (Academic Press Inc., New York, 1960) [11]

[c13] A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, New Jersey, 1960)

[c14] E. M. Barlit, Dubna Report No. 2197, 1965 (unpublished)

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Gamma-Ray Yields from Nuclear Reactions and Level Densities of Deformed Nuclei

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