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Improved procedure to construct a hyperspherical basis for the N-body problem: Application to bosonic systems

Timofeyuk, NK (2008) Improved procedure to construct a hyperspherical basis for the N-body problem: Application to bosonic systems Physical Review C - Nuclear Physics, 78 (5), 054314. pp. 1-8.

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Abstract

A new procedure to construct hyperspherical harmonics is presented in which the matrix of the multidimensional hyperangular Laplacian is diagonalized in the single-particle oscillator basis. It is shown that this matrix can be constructed and diagonalized prior to the elimination of spurious states in small subspaces, and that calculations of only the two-body operators is required. As a result, the hyperspherical basis can be constructed much faster than in the procedure introduced earlier [N. K. Timofeyuk, Phys. Rev. C 65, 064306 (2002)], which is based on recursive elimination of hyperradial excitations. The applicability of the proposed method is demonstrated for the systems made of up to ten identical bosons with zero spin using two different two-body potentials. In particular, it has been applied to some α-particle nuclei for which the projection of their 0+ wave functions into the “condensed state wave function” have been calculated.

Item Type: Article
Authors :
NameEmailORCID
Timofeyuk, NKn.timofeyuk@surrey.ac.ukUNSPECIFIED
Date : 2008
Identification Number : 10.1103/PhysRevC.78.054314
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 11:17
Last Modified : 17 May 2017 14:55
URI: http://epubs.surrey.ac.uk/id/eprint/830737

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