Abstract
Geometric aspects of the extended interacting boson model (gIBM) withs, d andg bosons are studied using coherent states. Algebraic expressions for the coherent state expectation values of various terms in the general gIBM Hamiltonian are derived in terms of the quadrupole and hexadecupole deformation variablesβ 2 andβ 4 and the asymmetry angleγ. These in turn are used to determine the equilibrium shape parameters (β 02 ,β 04 ,γ 0) in the seven dynamical symmetry limits of gIBM.
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References
Iachello, F., Arima, A.: The interacting boson model. Cambridge: Cambridge University Press 1987
De Meyer, H., Vander Jeugt, J., Vanden Berghe, G., Kota, V.K.B.: J. Phys. A. Math. Gen.19, L565 (1986)
Kota, V.K.B., Vander Jeugt, J., De Meyer, H., Vanden Berghe, G.: J. Math. Phys.28, 1644 (1987)
Devi, Y.D., Kota, V.K.B., Sheikh, J.A.: Phys. Rev. C39, 2057 (1989)
Todd Baker, F.: Phys. Rev. C32, 1430 (1985);
Todd Baker, F., Sethi, A., Penumetcha, V., Emery, G.T., Jones, W.P., Grimm, M.A., Whiten, M.L.: Phys. Rev. C32, 2212 (1985)
Goldhoorn, P.B., Harakeh, M.N., Iwasaki, Y., Put, L.W., Zwarts, F., Van Isacker, P.: Phys. Lett.103B, 291 (1981);
Van Isacker, P., Heyde, K., Waroquier, M., Wenes, G.: Phys. Lett.104B, 5 (1981)
Wu, H.C., Dieperink, A.E.L., Scholten, O., Harakeh, M.N., De Leo, R., Pignanelli, M., Morrison, I.: Phys. Rev. C38, 1638 (1988)
Yoshinaga, N., Akiyama, Y., Arima, A.: Phys. Rev. Lett.56, 116 (1986); Phys. Rev. C38, 419 (1988);
Akiyama, Y., Heyde, K., Arima, A., Yoshinaga, N.: Phys. Lett.173B, 1 (1986);
Akiyama, Y., Von Brentano, P., Gelberg, A.: Z. Phys. A — Atomic Nuclei326, 517 (1987);
Otsuka, T., Sugita, M.: Phys. Lett.215B, 205 (1988)
Kuyucak, S., Morrison, I.: Phys. Rev. Lett.58, 315 (1987);62, 1029 (1989); Phys. Lett.202 B, 169 (1988); Ann. Phys. (N.Y.)181, 79 (1988); Ann. Phys. (N.Y.)195, 126 (1989)
Ichihara, T., Sakaguchi, H., Nakamura, M., Yosoi, M., Ieiri, M., Takeuchi, T., Togawa, H., Tsutsumi, T., Kobayashi, S.: Phys. Lett.182B, 301 (1986);
De Leo, R., Blasi, N., Micheletti, S., Pignanelli, M., Borghols, W.T.A., Schippers, J.M., Vander Werf, S.Y., Maino, G., Harakeh, M.N.: Nucl. Phys. A504, 109 (1989)
Bohr, A., Mottelson, B.R.: Phys. Scr.22, 468 (1980);
Otsuka, T.: Nucl. Phys. A368, 244 (1981); Phys. Rev. Lett.46, 710 (1981); Phys. Lett.138 B, 1 (1984);
Scholten, O.: Phys. Rev. C28, 1783 (1983);
Yoshinaga, N., Arima, A., Otsuka, T.: Phys. Lett.143B, 5 (1984);
Pannert, W., Ring, P., Gambhir, Y.K.: Nucl. Phys. A443, 189 (1985);
Dobaczewski, J., Skalski, J.: Phys. Rev. C38, 580 (1988);
Halse, P., Jacqua, L., Barrett, B.R.: Phys. Rev. C40, 968 (1989);
Amos, K., Chen, X.J., Dieperink, A.E.L., Morrison, I.: Aust. J. Phys.41, 633 (1989);
Yoshinaga, N.: Nucl. Phys. A493, 323 (1989); Nucl. Phys. A503, 65 (1989)
Bohr, A., Mottelson, B.R.: Nuclear structure, Vol. 2. Reading, Massachusetts: W.A. Benjamin 1975
Chacon, E., Hess, P.O., Moshinsky, M.: J. Math. Phys.28, 2223 (1987);30, 970 (1989)
Van Isacker, P., Chen, J.Q.: Phys. Rev. C24, 684 (1981)
Rohozinski, S.G., Sobiczewski, A.: Acta. Phys. Pol. B12, 10 (1981)
Nazarewicz, W., Romej, P.: Nucl. Phys. A369, 396 (1981)
Devi, Y.D., Kota, V.K.B.: (unpublished) Algebraic expressions for the coherent state matrix elements of the 35 pieces of gIBMH, as fUnctions of the five parameters (α 20,α 22,α 40,α 42,α 44) and also as functions ofβ 2,β 4 and Cos 3γ are available upon request
Wu, H.C., Dieperink, A.E.L., Pittel, S.: Phys. Rev. C34, 703 (1986)
Eisenberg, J.M., Greiner, W.: Nuclear theory, Vol. 1, pp. 59. North Holland: Amsterdam 1970
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We thank B.R. Sitaram and R.S. Nikam for important discussions and S.G. Rohozinski for sending a copy of his paper on parametrization problem. We thank F. Iachello for many useful discussions and for his interest in the present work. Part of the work was done while one of the authors (VKBK) was at the University of Rochester during 1987–88.