Abstract
An angular momentum projected particle-hole theory is proposed as an approach to describe excited states of deformed nuclei. Both for the ground and the excited states, angular momentum projections are done before variation. This allows one to look for the effect, with an appropriate constraint, of the difference in the deformations of these states. The theory is applied to the case of Ne20 where the splitting of the giant resonance is observed. Other negative parity states are also studied and their transitions to the 2+ member of the ground state band show interesting features which may have experimental implications. On the other hand, the change in the deformation of the excited states has only a small effect on the transition probabilities.
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Proc. of the Int. Conf. on Photonuclear Reactions and Applications. Asilomar 1973, ed. by B.L. Berman
Birkholz, J.:ibid. Proc. of the Int. Conf. on Photonuclear Reactions and Applications Asilomar 1973, ed. by B.L. Berman p. 503; Nucl. Phys. A189, 385 (1972)
Krewald, S., Birkholz, F., Speth, J.: Private communication
Mahaux, C., Weidenmüller, H.A.: Shell-Model Approach to Nuclear Reactions, Amsterdam: North-Holland 1969
Feshbach, H.: Ann. Phys.5, 357 (1958);19, 287 (1962)
Bloch, C.: Proc. Int. School Enrico Fermi XXXVI, New York: Acad. Press 1966
Wigner, E.P., Eisenbud, L.: Phys. Rev.72, 29 (1947)
Lane, A.M., Thomas, R.G.: Rev. Mod. Phys.30, 257 (1958)
Ayad, A.A., Rowe, D.J.: Nucl. Phys. A218, 307 (1974)
Bohr, A., Mottelson, B.R.: K. Dan. Vid. Sel., Mat. Fys. Medd.27, No. 16 (1953)
Afnan, I.R.: Phys. Rev.163, 1016 (1967)
Schmid, K.W., Krewald, S., Faessler, A., Satpathy, L.: Z. Physik271, 149 (1974)
Danos, M.: Nucl. Phys.5, 23 (1958)
Okamoto, K.: Phys. Rev.110, 143 (1958)
Danos, M., Fuller, E.G.: Ann. Rev. Nucl. Sci.15, 29 (1965)
Ripka, G.: Adv. Nucl. Phys., Vol. 1, New York: Plenum Press 1968, ed. by M. Baranger and E. Voigt
Thouless, D.J.: Nucl. Phys.21, 255 (1960)
Messiah, A.: Quantum Mechanics, Amsterdam: North-Holland 1969
Peierls, R.E., Yoccoz, J.: Proc. Phys. Soc. A70, 381 (1957)
Villars, F.: Proc. Int. School Enrico Fermi XXXVI, New York: Acad. Press 1966
Löwdin, P.O.: Phys. Rev.97, 1474 (1955)
Lee, H.C., Cusson, R.Y.: Phys. Rev. Lett.29, 1525 (1972)
Elliott, J.P., Skyrme, T.H.R.: Proc. Roy. Soc. A323, 561 (1955)
Eisenberg, J.M., Greiner, W.: Nucl. Theory, Vol. 2, Amsterdam: North-Holland 1972
Claudemans, P.W.M.: Lectures at the Rudzinska Summer School, Poland 1971
Halbert, E., McCrary, J.B., Wildenthal, B.H., Pandhya, S.P.: Adv. Nucl. Phys., Vol. 4, New York: Plenum Press 1971, ed. by M. Baranger and E. Vogt
Brink, D.M., Boeker, E.: Nucl. Phys. A91, 1 (1967)
Wilkinson, J.H.: The Algebraic Eigenvalue Problem, Oxford (U.K.): Clarendon Press 1965
Kuehner, J.A., Ollerhead, R.W.: Phys. Lett.20, 301 (1966)
Litherland, A.E., Kuehner, J.A., Gorg, H.E., Clark, M.A., Almqvist, E.: Phys. Rev. Lett.7, 98 (1961)
Häusser, O., Ferguson, A.J., McDonald, A.B., Szöghy, I.M., Alexander, T.K., Disdier, D.L.: Nucl. Phys. A179, 465 (1972)
Alexander, T.K., Häusser, O., McDonald, A.B., Ferguson, A.J.: Nucl. Phys. A179, 477 (1972)
Lane, A.M., Mekjian, A.Z.: Phys. Rev. C8, 1981 (1973)
Segel, R.E., Vager, Z., Meyer-Schützmeister, L., Singh, P.P., Allas, R.G.: Nucl. Phys. A93, 31 (1967)
Harakeh, M.N., Paul, P., Gorodetzky, P.H.: Phys. Rev. C11, 998 (1975); C11, 1008 (1975)
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Laboratoire associé au Centre National de la Recherche Scientifique.
One of the authors (K.W.S.) would like to thank the Kernforschungsanlage Jülich and Prof. A. Faessler for their agreement to his one-year leave and acknowledge the kind hospitality of the Laboratoire de Physique Theorique et Hautes Energies at Orsay.
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Schmid, K.W., Dang, G.D. An angular momentum projected particle-hole theory for deformed nuclei and its application to theT=1 negative parity states of20Ne. Z Physik A 276, 233–243 (1976). https://doi.org/10.1007/BF01412101
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DOI: https://doi.org/10.1007/BF01412101