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Title: Shape Transition and Shape Coexistence in Atomic Clusters and Nuclei

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.1996876· OSTI ID:20722979
;  [1]
  1. Department of Physics, Central Michigan University, Mount Pleasant, Michigan 48859 (United States)

We investigate the signature of shape transition and shape coexistence in small atomic clusters and other mesoscopic systems, such as atomic nuclei. One of the best known examples is the prolate-compact shape transition/coexistence phenomenon observed in mobility experiments on Si clusters.[1] Using a hierarchical strategy that features an extensive tight-binding-based search of the energy surface, followed by a full density functional theory investigation of the most stable structures, we recently determined the lowest-energy clusters across the range n=2 to 28.[2] The calculated properties of these clusters are in very good agreement with available measurements of dissociation energies, ionization energies and ion mobilities, providing strong evidence that these structures are the ones found in experiments. The calculations clearly exhibit a transition in the relative stability of prolate and compact clusters between n=25 and 26, coinciding exactly with the experimental behavior. The lowest energy prolate and compact structures are found almost degenerate, justifying the coexistence of shapes observed in the experiment. The binding energy per atom of the ground states vs N-1/3 exhibits a long plateau in the transition/coexistence region, suggesting that this phenomenon may be related to a relatively small surface tension. Similar behavior was recently found in the isotope 152 of the nucleus of the element Sm, for which the ground sate, J{pi} = 0+, is known to be very deformed, and the first excited J{pi} = 0+, is compact. A similar signature in the binding energy per atom of the Sm isotopes can be also extracted from the available experimental data.

OSTI ID:
20722979
Journal Information:
AIP Conference Proceedings, Vol. 777, Issue 1; Conference: WNMP 2004: Workshop on nuclei and mesoscopic physics, East Lansing, MI (United States), 23-26 Oct 2004; Other Information: DOI: 10.1063/1.1996876; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
Country of Publication:
United States
Language:
English