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Manuscript Title: Allowed values of coupled angular momentum and i-spin for nucleons in a single shell in j-j coupling.
Authors: L.B. Hubbard
Program title: JNTJN
Catalogue identifier: ABKC_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 1(1970)453
Programming language: Fortran.
Computer: IBM-360/75, IBM 91.
Operating system: 0S360.
RAM: 17K words
Word size: 32
Keywords: Nuclear physics, Angular momentum, Wave functions, J-j coupling, Fractional parentage.
Classification: 17.18.

Nature of problem:
If there are a given number of nucleons in a single shell in j-j coupling, there are only a restricted number of orthogonal eigenfunctions allowed by the exclusion principle. The program JNTJN calculates the number of allowed eigenfunctions in the representation of coupled i-spin and angular momentum; i.e., the number of eigenvectors for each pair of T and J values is calculated.

Solution method:
The program JNTJN enumerates the allowed values for the projections, MJ and MT, of the coupled angular momentum and i-spin. From these projections, the allowed eigenvalues of J and T are readily found. This is similar to the enumeration schemes in the literature.

This program is applicable to the enumeration of the allowed values of total angular momentum and i-spin for any number of particles in any j- shell. Some modifications in printing and array dimensions would be necessary for calculations near the center of shells having j>=13/2.

Running time:
The sample output required about one-tenth second on the IBM-360/91; compile time is about 1.5 seconds. The complete enumeration of the lower half of the j=3/2, 5/2, 7/2 and 9/2 shells required about 35 seconds of execution on the same machine.