Elsevier Science Home
Computer Physics Communications Program Library
Full text online from Science Direct
Programs in Physics & Physical Chemistry
CPC Home

[Licence| Download | New Version Template] abgg_v1_0.gz(10 Kbytes)
Manuscript Title: A Fortran program for the computation of the generalized Talmi coefficients.
Authors: O. Zohni
Program title: TALMI
Catalogue identifier: ABGG_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 3(1972)61
Programming language: Fortran.
Computer: IBM 7044.
Operating system: IBSYS.
RAM: 5K words
Word size: 36
Keywords: Nuclear physics, Reaction, Talmi coefficient, Angular momentum, Oscillator bracket, Matrix element, Harmonic oscillator, Brody-moshinsky bracket.
Classification: 17.17.

Revision history:
Type Tit le Reference
correction 000ACORRECTION 16/12/86 See below

Nature of problem:
The program calculates the generalised Talmi coefficients defined in Yu.F. Smirnov, Nucl. Phys. 27 (1961) 177 and used to obtain the centre- of-mass (c.m.) and relative wavefunctions of two particles having different masses mu1 and mu2 moving in a harmonic oscillator potential. With these coefficients, it is easy to separate the c.m. motion of a group of nucleons in the shell model as well as of nucleon clusters in the cluster model of nuclei.

Solution method:
This formula includes sums over a relatively large number of indices whose values are governed by a comparable number of selection rules. To calculate a Talmi coefficient, the selection rules are appropriately set up, and then the sums over the different indices are computed in a straightforward way by a nest of DO loops.

Running time:
The time required to calculate a Talmi coefficient depends upon the values of its arguments. For values of arguments ranging from 0 to 4, the execution time of a coefficient varies from 0.3 to 1.5 s on the IBM 7044.

CORRECTION SUMMARY
Manuscript Title: Unpublished correction to a Fortran program for the computation of the generalised Talmi coefficients. (C.P.C. 3(1972)61).
Authors: O. Zohni
Program title: 000ACORRECTION 16/12/86
Catalogue identifier: ABGG_v1_0
Distribution format: gz
Classification: 17.17.