Phase transitions in the framework of complete version of IMB-1

J. Proskurins; A. Andrejevs; T. Krasta; J. Tambergs

doi:10.3103/S1062873809020221

Phase transitions in the framework of complete version of IMB-1

J. Proskurins, A. Andrejevs, T. Krasta, J. Tambergs

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The classical energy functional of complete IBM-1 model version is studied in terms of nuclear shape variables (β, γ), employing two essential control parameters (r₂, r₁) used in catastrophe theory formalism. The dependence of energy surface equilibrium values from deformation parameter β is analyzed in the case when β = 0. The results, obtained for critical points and phase transition lines between spherical (β = 0) and two deformed (β > 0, β < 0) shapes, are compared with the ones, following from the studies, in which the simplified extended Casten triangle version of interacting boson model was used.

Original language	English
Pages (from-to)	230-233
Number of pages	4
Journal	Bulletin of the Russian Academy of Sciences: Physics
Volume	73
Issue number	2
DOIs	https://doi.org/10.3103/S1062873809020221
Publication status	Published - 2009
Externally published	Yes

Field of Science*

1.3 Physical sciences

Publication Type*

1.1. Scientific article indexed in Web of Science and/or Scopus database

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10.3103/S1062873809020221

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title = "Phase transitions in the framework of complete version of IMB-1",

abstract = "The classical energy functional of complete IBM-1 model version is studied in terms of nuclear shape variables (β, γ), employing two essential control parameters (r2, r1) used in catastrophe theory formalism. The dependence of energy surface equilibrium values from deformation parameter β is analyzed in the case when β = 0. The results, obtained for critical points and phase transition lines between spherical (β = 0) and two deformed (β > 0, β < 0) shapes, are compared with the ones, following from the studies, in which the simplified extended Casten triangle version of interacting boson model was used.",

author = "J. Proskurins and A. Andrejevs and T. Krasta and J. Tambergs",

note = "Funding Information: One of the authors (J.P.) highly appreciates the support of the European Social Fund ESS2004/3.",

year = "2009",

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T1 - Phase transitions in the framework of complete version of IMB-1

AU - Proskurins, J.

AU - Andrejevs, A.

AU - Krasta, T.

AU - Tambergs, J.

N1 - Funding Information: One of the authors (J.P.) highly appreciates the support of the European Social Fund ESS2004/3.

PY - 2009

Y1 - 2009

N2 - The classical energy functional of complete IBM-1 model version is studied in terms of nuclear shape variables (β, γ), employing two essential control parameters (r2, r1) used in catastrophe theory formalism. The dependence of energy surface equilibrium values from deformation parameter β is analyzed in the case when β = 0. The results, obtained for critical points and phase transition lines between spherical (β = 0) and two deformed (β > 0, β < 0) shapes, are compared with the ones, following from the studies, in which the simplified extended Casten triangle version of interacting boson model was used.

AB - The classical energy functional of complete IBM-1 model version is studied in terms of nuclear shape variables (β, γ), employing two essential control parameters (r2, r1) used in catastrophe theory formalism. The dependence of energy surface equilibrium values from deformation parameter β is analyzed in the case when β = 0. The results, obtained for critical points and phase transition lines between spherical (β = 0) and two deformed (β > 0, β < 0) shapes, are compared with the ones, following from the studies, in which the simplified extended Casten triangle version of interacting boson model was used.

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JO - Bulletin of the Russian Academy of Sciences: Physics

JF - Bulletin of the Russian Academy of Sciences: Physics

IS - 2

ER -

Phase transitions in the framework of complete version of IMB-1

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