- Email: [email protected]
A fortran program for the computation of the generalized talmi coefficients
C-123 COMPUTER PHYSICS COMMUNICATIONS 3 (1972) 6 1 - 6 8 . N O R T H - H O L L A N D PUBLISHING COMPANY
A FORTRAN PROGRAM FOR THE COMPUTATION OF THE GENERALIZED TALMI COEFFICIENTS * O. Z O H N I
**
International Centre for Theoretical Physics, 34100 Trieste, Italy Received 1 September 1971
PROGRAM
SUMMARY
Title o f program: TALMI Catalogue number: ABGG Computer for which the program is designed and others upon which it is operable Computer: IBM 7044. Installation: Centro di Calcolo deU'Universith di Trieste Operating system or monitor under which the program is executed: IBSYS Programming language used: F O R T R A N High speed store required: 5222 words. No. o f bits in a word: 36 Is the program overlaid? No No. o f magnetic tapes required: None What other peripherals are used? Card Reader; Line Printer No. o f cards in combined program and test deck: 964
Kevwords descriptive o f problem and method o f solution: Nuclear, Nuclear Spectra, Nuclear Structure, Nuclear Reaction, Cluster Model, Shell Model, Matrix Element, Talmi coefficient, B r o d y - M o s h i n s k y Bracket, Angular M o m e n t u m , Harmonic Oscillator.
Nature o f the physical problem
Method o f soh¢ tion
The program calculates the generalized Talmi coefficients (n I I i , n 2 12:hlta I lazINL, nl:?O defined in ref. [ l ] and used to obtain the centre-of-mass (c.m.) and relative wavefunctions of two particles having different masses/a I and ~: moving in a harmonic oscillator potential. With these coefficients, it is easy to separate the c.m. m o t i o n o f a group of nucleons in the shell model as well as of nucleon clusters in the cluster model of nuclei [2].
The program makes use of the formula given in ref. [ 1 ]. This formula includes sums over a relatively large n u m b e r of indices whose values are governed by a comparable n u m b e r of selection rules. To calculate a Talmi coefficient, the selection rules are appropriately set up, and then the sums over the different indices are c o m p u t e d in a straightforward way by a nest o f DO loops.
* A preliminary version o f this F O R T R A N code was designed and operated on the ICL 1905 E C o m p u t e r (1900 series) installed at the Scientific Computer Centre, Cairo University. ** On leave from Physics Department, Faculty of Science, Cairo University, Giza, UAR.
C-124 62
O. Zohni, Generalized Tahni coefficients
Typical running time The time required to calculate a Talmi coefficient depends upon the values of its arguments. For v',dues of arguments ranging from 0 to 4, the execution time of a coefficient varies from 0.3 to 1.5 seconds on the IBM 7044.
Refleretice$ [I] Yu.F. Smirnov,Nucl. Phys. 27 (1961) 177. 121 Yu.A. Kudeyarov,Z. Matthies,V.G. Neudachinand Yu.F.Smknov, Nucl. Phys. 65 (1965) 529.
A FORTRAN PROGRAM FOR THE COMPUTATION OF THE GENERALIZED TALMI COEFFICIENTS * O. Z O H N I
**
International Centre for Theoretical Physics, 34100 Trieste, Italy Received 1 September 1971
PROGRAM
SUMMARY
Title o f program: TALMI Catalogue number: ABGG Computer for which the program is designed and others upon which it is operable Computer: IBM 7044. Installation: Centro di Calcolo deU'Universith di Trieste Operating system or monitor under which the program is executed: IBSYS Programming language used: F O R T R A N High speed store required: 5222 words. No. o f bits in a word: 36 Is the program overlaid? No No. o f magnetic tapes required: None What other peripherals are used? Card Reader; Line Printer No. o f cards in combined program and test deck: 964
Kevwords descriptive o f problem and method o f solution: Nuclear, Nuclear Spectra, Nuclear Structure, Nuclear Reaction, Cluster Model, Shell Model, Matrix Element, Talmi coefficient, B r o d y - M o s h i n s k y Bracket, Angular M o m e n t u m , Harmonic Oscillator.
Nature o f the physical problem
Method o f soh¢ tion
The program calculates the generalized Talmi coefficients (n I I i , n 2 12:hlta I lazINL, nl:?O defined in ref. [ l ] and used to obtain the centre-of-mass (c.m.) and relative wavefunctions of two particles having different masses/a I and ~: moving in a harmonic oscillator potential. With these coefficients, it is easy to separate the c.m. m o t i o n o f a group of nucleons in the shell model as well as of nucleon clusters in the cluster model of nuclei [2].
The program makes use of the formula given in ref. [ 1 ]. This formula includes sums over a relatively large n u m b e r of indices whose values are governed by a comparable n u m b e r of selection rules. To calculate a Talmi coefficient, the selection rules are appropriately set up, and then the sums over the different indices are c o m p u t e d in a straightforward way by a nest o f DO loops.
* A preliminary version o f this F O R T R A N code was designed and operated on the ICL 1905 E C o m p u t e r (1900 series) installed at the Scientific Computer Centre, Cairo University. ** On leave from Physics Department, Faculty of Science, Cairo University, Giza, UAR.
C-124 62
O. Zohni, Generalized Tahni coefficients
Typical running time The time required to calculate a Talmi coefficient depends upon the values of its arguments. For v',dues of arguments ranging from 0 to 4, the execution time of a coefficient varies from 0.3 to 1.5 seconds on the IBM 7044.
Refleretice$ [I] Yu.F. Smirnov,Nucl. Phys. 27 (1961) 177. 121 Yu.A. Kudeyarov,Z. Matthies,V.G. Neudachinand Yu.F.Smknov, Nucl. Phys. 65 (1965) 529.