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Convergence of the hyperspherical-harmonics expansion with increasing number of particles for bosonic systems. II. Inclusion of the three-body force

Timofeyuk, NK (2015) Convergence of the hyperspherical-harmonics expansion with increasing number of particles for bosonic systems. II. Inclusion of the three-body force PHYSICAL REVIEW A, 91 (4), ARTN 04251.

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Abstract

This paper presents a numerical convergence study of a hyperspherical-harmonics expansion for binding energies of a system of 4≤N≤728 helium atoms using a phenomenological soft attractive two-body He-He potential and a repulsive three-body force aimed at compensating for the absence of the two-body repulsive core. Earlier calculations with such a potential have shown an improved convergence when N increases from four to six. The present study reveals that the improved convergence occurs only for a limited range of N determined by the range of the three-body repulsion. For a soft repulsive three-body force, the convergence is fast for N≤20, while for a short-range three-body repulsion it deteriorates at N≥10. The reasons for this deterioration are discussed. The range of the three-body force also determines the binding energy behavior with N, and it is also responsible for binding the excited states. The long-range force binds all first excited 0+ states but strongly underbinds the systems of N helium atoms at large N. The short-range force does not bind the first 0+ states for A≤7 but gives better predictions of binding energies as compared to the calculations of other authors though overestimating them. Some options to improve both the description of the binding energies and the convergence of the hyperspherical-harmonics expansion using phenomenological forces are discussed. It is pointed out that a fast convergence is very much needed for the reliable predictions of states with nonzero angular momentum, examples of which are also given.

Item Type: Article
Subjects : Physics
Divisions : Faculty of Engineering and Physical Sciences > Physics
Authors :
AuthorsEmailORCID
Timofeyuk, NKUNSPECIFIEDUNSPECIFIED
Date : 30 April 2015
Identification Number : 10.1103/PhysRevA.91.042513
Copyright Disclaimer : © 2015 American Physical Society. All rights reserved.
Uncontrolled Keywords : Science & Technology, Physical Sciences, Optics, Physics, Atomic, Molecular & Chemical, Physics
Related URLs :
Additional Information : © 2015 American Physical Society. All rights reserved.
Depositing User : Symplectic Elements
Date Deposited : 22 Mar 2016 17:36
Last Modified : 24 Mar 2016 09:43
URI: http://epubs.surrey.ac.uk/id/eprint/810193

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