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Manuscript Title: Exact finite range DWBA calculations for heavy-ion induced nuclear reactions.
Authors: T. Tamura, K.S. Low
Program title: MARS-1-FOR-EFR-DWBA
Catalogue identifier: ABPB_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 8(1974)349
Programming language: Fortran.
Computer: CDC 6600.
Operating system: UT2D.
RAM: 29K words
Word size: 60
Peripherals: magnetic tape.
Keywords: Nuclear physics, Direct nuclear transfer Reactions, Direct reaction, Exact finite range dwba (with recoil), No-recoil approximation, Form factor, Stripping, Pickup, Cross section, Elastic scattering, Schrodinger equation, Efr-dwba, Nr-dwba.
Classification: 17.11.

Subprograms used:
Cat Id Title Reference
ABPA_v1_0 SATURN-1-FOR-EFR-DWBA CPC 8(1974)349

Nature of problem:
The package SATURN-MARS-1 consists of two programs SATURN and MARS for calculating cross sections of reactions transferring nucleon(s) primarily between two heavy ions. The calculations are made within the framework of the finite-range distorted wave Born approximation(DWBA). The first part, SATURN, prepares the form factor(s) either for exact finite (EFR) or for no-recoil (NR) approach. The prepared form factor is then used by the second part MARS to calculate either EFR-DWBA or NR-DWBA cross-sections.

Solution method:
Either with EFR or NR approaches, a one-dimensional integral(s) is to be carried out in SATURN to evaluate certain kernel(s). There the gaussian quadrature is used, introducing a specific technique so as to minimize the number of quadrature points. Most of the basic techniques used in MARS are not very much different from those used in VENUS, a zero-range (ZR) DWBA program reported earlier. Throughout SATURN and MARS, interpolation and other techniques are used, so that EFR calculations can be performed with a speed which is not very much slower than the simplified NR and/or ZR approximations.

In its present shape, SATURN-MARS-1 requires the use of the cluster approximation for treating multi-nucleon transfer reactions. Note, however, that in many applications the cluster approximation is sufficiently good, and also that removal of this restriction is made rather easily, by writting a booster program to feed results into SATURN. Presently set restrictions on the size of the calculations can be removed fairly easily without increasing the needed core very much.

Running time:
The largest calculation so far made with SATURN-MARS-1 is the analysis of 208Pb (16O,15N) 209Bi reactions with E(16O) = 140 MeV. With the CDC 6600 computer at the University of Texas, the running time ranged from 2 to 8 min when the spin of the final states in 209Bi varied from 1/2 to 9/2. With the IBM 360/195 computer at the Argonne National Laboratory, the running time of the same calculations was about 1/3 of the above figure. When lighter targets and lower E were used, most of the calculations were made within a minute, even with the CDC 6600.