Programs in Physics & Physical Chemistry
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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.|
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.
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.
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.
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