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[Licence| Download | New Version Template] aefq_v2_0.tar.gz(63 Kbytes)
Manuscript Title: The four-particle harmonic-oscillator brackets: compact expressions and updated Fortran program
Authors: S. Mickevicius, E. Brazauskas, D. Germanas, R.K. Kalinauskas
Program title: HOTB
Catalogue identifier: AEFQ_v2_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 182(2011)1377
Programming language: Fortran 90.
Computer: Any computer with FORTRAN 90 compiler.
Operating system: Windows, Linux, FreeBSD, True64 Unix.
RAM: 8 MB
Keywords: mathematical methods in physics, algebraic methods, nuclear shell model.
PACS: 03.65.Fd 21.60.Cs.
Classification: 17.17.

Does the new version supersede the previous version?: Yes

Nature of problem:
Calculation of the four-particle harmonic-oscillator transformation brackets for cases of mass-ratio parameters d = 0, d → ∞ and d1 = 0.

Solution method:
The method is based on compact expressions of the four-particle harmonics oscillator brackets, presented in [1] and its simplifications presented in this paper.

Reasons for new version:
We simplified the four-particle harmonic-oscillator transformation brackets expressions in cases d = 0, d → ∞ and d1 = 0. It gives shorter calculation times and the possibility of calculating the four-particle harmonics oscillator brackets in these cases, which was not possible in the previous version of the program.

Summary of revisions:
New subroutines for the calculation of the harmonic-oscillator transformation brackets in cases d = 0, d → ∞ and d1 = 0. In case d = 0 subroutine HOB4_d_0(e1, l1, e2, l2, l12, e3, l3, e1s, l1s, e2s, l2s, l12s, e3s, l3s, l) is used. In this case e2 = e2 and l2 = l2. In case d → ∞ subroutine HOB4_d_infinity(e1, l1, e2, l2, l12, e3, l3, e1s, l1s, e2s, l2s, l12s, e3s, l3s, l) is used. In this case e1 = e1 and l1 = l1. In case d1 = 0 subroutine HOB4_d1_0(e1, l1, e2, l2, l12, e3, l3, e1s, l1s, e2s, l2s, l12s, e3s, l3s, l) is used. For theoretical issues of the revision see section 'Theoretical aspects'.

Restrictions:
The four-particle harmonic-oscillator transformation brackets up to e = 28.

Running time:
Less than one second for the single harmonic-oscillator transformation bracket.

References:
[1] D. Germanas, S. Mickevicius, R.K. Kalinaukas, Calculation of four-particle harmonic-oscillator transformation brackets, Computer Physics Communications 181 (2010) 420-425.