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Structural properties and energetics of diffuse ^{87}Rb clusters in three-dimension

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10.1063/1.4730972

### Abstract

A correlated two-body basis function is used to describe the three-dimensional bosonic clusters interacting via two-body van der Waals potential. We calculate the ground state and the zero orbital angular momentum excited states for Rb_{ N }clusters with up to N = 40. We solve the many-particle Schrödinger equation by potential harmonics expansion method, which keeps all possible two-body correlations in the calculation and determines the lowest effective many-body potential. We study energetics and structural properties for such diffuse clusters both at dimer and tuned scattering length. The motivation of the present study is to investigate the possibility of formation of *N*-body clusters interacting through the van der Waals interaction. We also compare the system with the well studied He, Ne, and Ar clusters. We also calculate correlation properties and observe the generalised Tjon line for large cluster. We test the validity of the shape-independent potential in the calculation of the ground state energy of such diffuse cluster. These are the first such calculations reported for Rb clusters.

© 2012 American Institute of Physics

Received 22 December 2011
Accepted 11 June 2012
Published online 02 July 2012

Acknowledgments: This work has been partially supported by the FAPESP (Brazil), CNPq (Brazil), Department of Science and Technology (DST, India), and Department of Atomic Energy (DAE, India). T.K.D. acknowledges the University Grants Commission (UGC, India) for the Emeritus Fellowship program. B.C. wishes to thank the FAPESP (Brazil) for providing financial assistance for her visit to the Universidade de São Paulo, Brazil, where a part of this work was done.

Article outline:

I. INTRODUCTION

II. POTENTIAL HARMONICS BASIS AND THE COUPLED DIFFERENTIAL EQUATION FOR *N*-BODY CLUSTERS

III. RESULTS

A. Choice of interaction and calculation of many-body effective potential

B. Energetics of *N*-body Rb clusters with *N* ⩽ 40 atoms at dimer scattering length

C. Energetics of *N*-body clusters with tuned scattering length

IV. SUMMARY AND CONCLUSIONS

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2012-07-02

2014-04-19

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