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Manuscript Title: A new Fortran program for the CFP of the system with identical bosons.
Authors: Y.X. Liu, H.Z. Sun, E.G. Zhao
Program title: CFPSIB
Catalogue identifier: ACGW_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 70(1992)154
Programming language: Fortran.
Computer: VAX-11/8550.
Operating system: MicroVMS v4.7, VMS v4.7.
RAM: 1984K words
Word size: 32
Keywords: Nuclear physics, Atomic, Molecular, Seniority, Angular momentum, Function wave, Nuclear structure, Coefficient of Fractional parentage, Isoscalar factor, Reduced matrix element, Shell model, Interacting boson model, Unitary group, Orthogonal group, Chaos.
Classification: 17.18.

Nature of problem:
The program calculates all the coefficients of fractional parentage (CFP) of a boson system, by using the recurrent relation with well defined seniority. CFP's are the expansion coefficients of symmetrised n-body wave functions in terms of symmetrised (n-1)-body wave functions and the wave function of the nth particle. It is of fundamental importance in constructing the many-particle wave function with well defined permutational symmetry and total angular momentum, and in calculating the reduced matrix elements of a one-body tensor operator and a two-body scalar operator. The evaluation of the reduced matrix elements is the basis of the calculation in nuclear, atomic and molecular physics. Moreover, CFP's of the system with large number of bosons are important in examining chaotic behaviour in many-boson system.

Solution method:
The program CFPSIB uses the recurrent relation to get all the CFP's of an identical boson system. The recurrent relations are presented with well defined seniority (theta) and the multiplicity of an irreducible representation (irrp.) of O(3) in an irrp. of O(N). It provides an efficient algorithm for computation.

In principle, the program can evaluate the CFP's of any system of identical bosons. At present, with the dimension parameters IDM=990000, ISM=43, the system can be the ones with d-boson seniority 43, or f-boson seniority 15, or g-boson seniority 10, or the others with 990000 or fewer groups of data. After parameters IDM, ISM, et.al. are enlarged, the system can be enlarged.

Running time:
This depends strongly on the number of bosons and the angular momentum of each boson. For example, it takes about 2.5 hours of VAX 8550 to get all the CFP's of the system including 9 f-bosons (there are totally 22034 groups of data), but it takes only about3.5 minutes for the 9 d-boson system (721 groups of data).