P. Van Isacker*, I. Morales**, C.E. Vargas*** and A. Frank****
* Grand Accélérateur National d'Ions Lourds, BP 55027, F–14076 Caen Cedex 5, France
** Instituto de Ciencias Nucleares, UNAM, Apartado Postal 70–543, 04510 México, D.F. México.
*** Facultad de Física e Inteligencia Artificial, UV, Sebastián Camacho; Centro, Xalapa, Ver., 91000, México
**** Instituto de Ciencias Nucleares, UNAM, Apartado Postal 70–543, 04510 México, D.F. México.
Recibido el 5 de febrero de 2005 ]]> Aceptado el 20 de marzo de 2005
Abstract
The Interacting Boson Model (IBM) with configuration mixing can be given a geometrical interpretation, when used in conjunction with a (matrix) coherent–state method. This approach can be used to study the geometric aspects of shape coexistence in nuclei, as well as the phase space diagrams associated to this phenomenon.
Keywords: Algebraic models; shape coexistence; phase transition; Configuration Mixing.
Resumen
Se muestra que es posible hacer una interpretación geométrica del modelo de bosones interactuantes (IBA) al utilizar la mezcla de configuraciones junto con el método de la matriz de estados coherentes. Esta aproximación puede utilizarse para estudiar los aspectos geométricos de la coexistencia de forma en el nucleo, asi como los diagramas de fase asociados a este fenómeno.
Descriptores: Modelos algebráicos; coexistencia de forma, transición de fase; Mezcla de configuraciones.
]]> PACS: 21.10.Re; 21.60.Ev; 21.60.Fw; 27.70.+q
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Acknowledgments
This work was supported in part by CONACyT (Mexico).
References
1. K. Heyde, P. Van Isacker, M. Waroquier, J.L. Wood, and R.A. Meyer, Phys. Rep. 102 (1983) 293; [ Links ] J.L. Wood, K. Heyde, W. Nazarewicz, M. Huyse, and P. Van Duppen, Phys. Rep. 215 (1992) 101. [ Links ]
2. R. Gilmore, J. Math. Phys. 20 (1979) 891. [ Links ]
3. P. Federman and S. Pittel, Phys. Lett. B 69 (1977) 385. [ Links ]
4. F.R. May, V.V. Pashkevich, and S. Frauendorf, Phys. Lett. B 68 (1977) 113. [ Links ]
5. W. Nazarewicz, Phys. Lett. B 305 (1993) 195. [ Links ]
6. A.N. Andreyev et al., Nature 405 (2000) 430. [ Links ]
7. T. Duguet, M. Bender, P. Bonche, and P.–H. Heenen, Phys. Lett. B 559 (2003) 201. [ Links ]
8. F. Iachello and A. Arima, The Interacting Boson Model, (Cambridge University Press, Cambridge, 1987). [ Links ]
9. P.D. Duval and B.R. Barrett, Nucl. Phys. A 376 (1982) 213. [ Links ]
10. R. Fossion, K. Heyde, G. Thiamova, and P. Van Isacker, Phys. Rev. C 67 (2003) 024306. [ Links ]
11. A. Frank, P. Van Isacker, and C.E. Vargas, Phys. Rev. C 69 (2004) 034323. [ Links ]
12. D.D. Warner and R.F. Casten, Phys. Rev. C 28 (1983) 1798; [ Links ] P.O. Lipas, P. Toivonen, and D.D. Warner, Phys. Lett. B 155 (1985) 295. [ Links ]
13. J.N. Ginocchio and M.W. Kirson, Phys. Rev. Lett. 44,(1980) 1744; [ Links ] A.E.L. Dieperink, O. Scholten, and F. Iachello, Phys. Rev. Lett. 44 (1980) 1747; [ Links ] A. Bohr and B.R. Mottelson, Phys. Scripta 22 (1980) 468. [ Links ]
14. A. Bohr and B.R. Mottelson, Nuclear Structure. II Nuclear Deformations (Benjamin, New York, 1975). [ Links ]
15. R. Fossion and K. Heyde, Private communications. [ Links ]
16. E. López–Moreno and O. Castaños, Phys. Rev. C 54 (1996) 2374. [ Links ]
17. J. Jolie, R.F. Casten, P. von Brentano, and V Werner, Phys. Rev. Lett. 87 (2001) 162-501. [ Links ]
18. F. Iachello, N.V. Zamfir, and R.F. Casten, Phys. Rev. Lett. 81 (1998)1191. [ Links ]
19. F. Iachello, Phys. Rev. Lett. 85 (2000) 3580; [ Links ]ibid. 87 (2001) 052502; [ Links ]ibid. 91 (2003) 132-502. [ Links ]
20. P. Van Isacker, A. Frank, and F. Iachello, submitted for publication. [ Links ] ]]>