A variational method to treat diffuse states in weakly bound trimers

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2002 English Publisher:Elsevier BVJournal:Computer Physics Communications, volume 145, pages 156-183 (issn: 0010-4655,

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Authors: González-Lezana, Tomás; Miret-Artés, Salvador; Delgado Barrio, Gerardo; Villarreal, Pablo; Rubayo-Soneira, Jesús; Baccarelli, Isabella; Paesani, F.; +1 Authors

doi: 10.1016/s0010-4655(02)00152-2

handle: 10261/73962

A variational method to treat diffuse states in weakly bound trimers

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Abstract

A variational method based on the use of pair coordinates and distributed Gaussian functions (DGF) is applied to the study of weakly bound triatomic clusters. The approach is particularly well suited to treat very diffuse states as those presented by the 4He3, and by 4He2X systems, with X being also a very weakly bound atomic 'impurity'. Several statistical properties such as radial and angular distributions, sizes and dominance of triangular configurations for the corresponding bound states are presented and discussed. The special nature of the Efimov effect is also analyzed in detail.

The ﬁnancial support of The Italian Nat. Research Council (CNR) and of The Italian Ministry for Universities and Research (MURST) is gratefully acknowledged, together with the DGICYT (Spain) under contract PB95-0071. We also acknowledge the support of the Italy–Spain Collaborative Integrated Action for the period 1999-2001 and of the EC Research Network HPRN-CT-1999-00005.

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Keywords

triatomic clusters, Efimov effect, distributed Gaussian functions, Variational principles of physics, pair coordinates, Atomic physics

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