Analytic interpretation of universal anharmonic vibrator behavior in the interacting boson approximation model

R. V. Jolos; P. von Brentano; R. F. Casten; N. V. Zamfir

doi:10.1103/PhysRevC.51.R2298

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Analytic interpretation of universal anharmonic vibrator behavior in the interacting boson approximation model

Joint Institute for Nuclear Research, Dubna, Russia
Institut für Kernphysik, Universitat zu Köln, D-50937 Köln, Germany

Institut für Kernphysik, Universitat zu Köln, D-50937 Köln, Germany

Institut für Kernphysik, Universitat zu Köln, D-50937 Köln, Germany
Brookhaven National Laboratory, Upton, New York 11973

Brookhaven National Laboratory, Upton, New York 11973
Clark University, Worcester, Massachusetts 01610
Institute of Atomic Physics, Bucharest-Magurele, Romania

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Phys. Rev. C 51, R2298(R) – Published 1 May, 1995

DOI: https://doi.org/10.1103/PhysRevC.51.R2298

Abstract

The recently discovered nearly universal anharmonic vibrator behavior (with constant anharmonicity) of nuclei with E( $4_{1}^{+}$ )/E( $2_{1}^{+}$ ) between 2.0 and 3.15 has been shown to be a natural and nearly automatic outcome of numerical interacting boson approximation (IBA) calculations. Here, we present an approximate analytic derivation and discussion of this based on the idea of the Q phonon.

References (8)

R. F. Casten , N. V. Zamfir , and D. S. Brenner Physical Review Letters 71, 227 1993
N. V. Zamfir and R. F. Casten Physics Letters B 341, 1 1994
T. K. Das , R. M. Dreizler , and A. Klein Physical Review C 2, 632 1970
A. Arima and F. Iachello Physical Review Letters 35, 1069 1975
G. Siems , U. Neuneyer , I. Wiedenhover , S. Albers , M. Eschenauer , R. Wirowski , and A. Gelberg Physics Letters B 320, 1 1974
N. Pietralla , P. von Brentano , R. F. Casten , T. Otsuka , and N. V. Zamfir Physical Review Letters 73, 2962 1994
S. Kuyucak and I. Morrison, Ann. Phys. (N.Y.) 181, 79 (1988); ibid. 195, 126 (1989); Phys. Rev. C 41, 1803 (1990) S. Kuyucak, in Perspectives for the Noninteracting Boson Model, edited by R. F. Casten et al. (World Scientific, Singapore, 1994), p. 143.
See, e.g., J. N. Ginocchio and M. W. Kirson, Phys. Rev. Lett. 44, 1744 (1980); A. E. L. Dieperink, O. Scholten and F. Iachello, ibid. 44, 1747 (1980).

[c1] R. F. Casten , N. V. Zamfir , and D. S. Brenner Physical Review Letters 71, 227 1993

[c2] N. V. Zamfir and R. F. Casten Physics Letters B 341, 1 1994

[c3] T. K. Das , R. M. Dreizler , and A. Klein Physical Review C 2, 632 1970

[c4] A. Arima and F. Iachello Physical Review Letters 35, 1069 1975

[c5] G. Siems , U. Neuneyer , I. Wiedenhover , S. Albers , M. Eschenauer , R. Wirowski , and A. Gelberg Physics Letters B 320, 1 1974

[c6] N. Pietralla , P. von Brentano , R. F. Casten , T. Otsuka , and N. V. Zamfir Physical Review Letters 73, 2962 1994

[c7] S. Kuyucak and I. Morrison, Ann. Phys. (N.Y.) 181, 79 (1988); ibid. 195, 126 (1989); Phys. Rev. C 41, 1803 (1990) S. Kuyucak, in Perspectives for the Noninteracting Boson Model, edited by R. F. Casten et al. (World Scientific, Singapore, 1994), p. 143.

[c8] See, e.g., J. N. Ginocchio and M. W. Kirson, Phys. Rev. Lett. 44, 1744 (1980); A. E. L. Dieperink, O. Scholten and F. Iachello, ibid. 44, 1747 (1980).

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Analytic interpretation of universal anharmonic vibrator behavior in the interacting boson approximation model

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