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HK: Physik der Hadronen und Kerne

HK 3: Nuclear Physics / Spectroscopy I

HK 3.1: Gruppenbericht

Montag, 11. März 2002, 16:15–16:45, B

New interpretation of the O(6) limit of the interacting boson model. — •J. Jolie1, P. von Brentano1, V. Werner1, and R.F. Casten21Institut fuer Kernphysik, Universitaet zu Koeln — 2Yale University, New Haven, USA

It is shown that the O(6) limit of the IBM, can be interpreted as a critical point of a phase transition inbetween oblate and prolate rotational nuclei[1]. This quantum phase transition relates to the shape of the nucleus and can be described exactly for any number of interacting bosons N at the critical point. It will be shown that an important tool to theoretically study such finite-N quantum phase transitions is provided by the determination of the wavefunction entropy [2]. Besides this also other signatures of phase transitional character are discussed [3]. [1] J.Jolie, R.F. Casten, P. von Brentano, V. Werner, Phys. Rev. Lett.87 (2001) 162501. [2] P. Cejnar, J.Jolie Phys. Rev. E 61 (2000) 6237. [3] V. Werner, P. von Brentano, R.F. Casten, J. Jolie, acc. for publ. in Phys. Lett. B. Work supported by DFG under project No Br 799/10-1 of USDOE under grant N0 DE-FG02-91ER40609 and NATO under grant No SA 5-2-05 (CRG 950668).

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