Abstract
A microscopic calculation of Bohr's collective Hamiltonian is used to describe the collective motion in the76Kr isotope. A single-particle basis calculated in a deformed Woods-Saxon potential leads to the potential energy surface obtained by the Strutinsky renormalization procedure, and to the inertial functions determined in the cranking model approximation.
The collective Schrödinger equation is solved numerically. The low-energy, even parity states in76Kr are analyzed in the frame of this model. The theoretical results involve the potential energy and the inertial parameters as functions of intrinsic quadrupole deformations, the collective levels and wave functions including their transitions and electromagnetic moments.
A good agreement between experiment and theory is obtained without adjusting specifically for this nucleus any parameter in the model. Some results regarding statical and dynamical characteristics of even-even74, 78, 80Kr isotopes are also presented.
Similar content being viewed by others
References
Piercey, R.B., Ramayya, A.V., Hamilton, J.H., Maguire, C.F., Robinson, R.L., Kim, H.J., Wells, J.C.: Proc. Int. Conf. on Nuclear Interactions, Canberra, Australia (1978)
Hamilton, J.H., Robinson, R.L., Ramayya, A.V.: Nuclear interactions. Robson, B.A. (ed.), p. 253. Berlin, New York, Heidelberg: Springer 1979
Piercey, R.B., Hamilton, J.H., Soundranayagam, R., Ramayya, A.V., Maguire, C.F., Sun, X.-J., Zhao, Z.Z., Robinson, R.L., Kim, H.J., Frauendorf, S., Döring, J., Funke, L., Winter, G., Roth, J., Cleeman, L., Eberth, J., Neumann, W., Wells, J.C., Lin, J., Rester, A.C., Carter, H.K.: Phys. Rev. Lett.47, No. 21, 1514 (1981)
Matsuki, S., Sakamoto, N., Ogino, K., Kadota, Y., Tanabe, T., Okuma, Y.: Nucl. Phys. A370, 1 (1981)
Keinonen, J., Lieb, K.P., Hellmeister, H.P., Bockisch, A., Emling, H.: Nucl. Phys. A376, 246 (1982)
Piercey, R.B., Ramayya, A.V., Hamilton, J.H., Sun, X.-J., Zhao, Z.Z., Tobinson, R.L., Kim, H.J., Wells, John, C.: Phys. Rev. C25, No. 4, 1941 (1982)
Larsson, S.E., Leander, G., Ragnarsson, I., Alenius, N.G.: Nucl. Phys. A261, 77 (1976)
Kaup, U., Gelberg, A.: Z. Phys. A — Atoms and Nuclei293, 311 (1979)
Ahalpara, D.P., Bhatt, K.H.: Phys. Rev. C25, No. 4, 2072 (1982)
Soundranayagam, R., Ramacataram, S., Ramayya, A.V., Hamilton, J.H., Robinson, R.L.: Phys. Rev. C25, No. 6, 2983 (1982)
Köppel, Th.J.: Ph.D. thesis, University of Basel, Switzerland 1980
Köppel, Th.J., Faessler, A., Götz, U.: Nucl. Phys. A403, 263 (1983)
Ansari, A., Civitarese, O., Faessler, A.: Nucl. Phys. A334, 93
Myers, W.D.: Nucl. Phys. A145, 387 (1980)
Götz, U., Pauli, H.C., Alder, K.: Nucl. Phys. A175, 481 (1971)
Pauli, H.C.: Phys. Rep. 7 C, No. 2, 35 (1973)
Brack, M., Damgaard, J., Jensen, A.S., Pauli, H.C., Strutinsky, V.M., Wong, C.A.: Rev. Mod. Phys.44, No. 2, 320 (1972)
Bès, D.R.: Dan. Vidensk. Selsk. Mat. Fys. Medd.33, No. 2 (1961)
Kumar, K., Baranger, M.: Nucl. Phys. A92, 608 (1967)
Hestens, M.: Optimization Theory 1975
Tazaki, S., Takada, K., Kaneko, K., Sakata, F.: Prog. Theor. Phys. Suppl.71, 123 (1981)
Broglia, R.A., Maglione, E., Sofia, H.M., Vitturi, A.: Nucl. Phys. A375, 217 (1982)
Nolte, E., Shida, Y., Kutscher, W., Prestele, R., Morinaga, H.: Z. Phys.268, 267 (1974)
Ledergerber, T., Pauli, H.C.: Nucl. Phys. A207, 1 (1973)
Gyurkovich, A., Sobiezewski, A., Rohozinski, S.G.: Nucl. Phys. A383, 77 (1982)
Kumar, K., Remaud, B., Aguer, P., Vaagen, J.S., Rester, A.C., Foucher, R., Hamilton, J.H.: Phys. Rev. C16, 1235 (1977)
Dudek, J., Dudek, W., Ruchowska, E., Skalski, J.: Z. Phys. A — Atoms and Nuclei294, 341 (1980)
Author information
Authors and Affiliations
Additional information
Supported by the BMFT and the International Bureau of the Kernforschungszentrum Karlsruhe
Rights and permissions
About this article
Cite this article
Petrovici, A., Faessler, A. & Köppel, T. Microscopic calculation of the collective motion in76Kr. Z Physik A 314, 227–237 (1983). https://doi.org/10.1007/BF01879882
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01879882