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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: SATURN-1-FOR-EFR-DWBA
Catalogue identifier: ABPA_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 8(1974)349
Programming language: Fortran.
Computer: CDC 6600.
Operating system: UT2D.
RAM: 32K words
Word size: 60
Peripherals: magnetic tape.
Keywords: Nuclear physics, Transfer reaction, Direct nuclear transfer Reaction, Exact finite-range Dwba (with recoil), No-recoil approximation, Form factor, Stripping, Pickup, Cross section, Elastic scattering, Schrodinger equation, Efr-dwba, Nr-dwba, Direct reaction.
Classification: 17.11.

Subprograms used:
Cat Id Title Reference
ABPB_v1_0 MARS-1-FOR-EFR-DWBA CPC 8(1974)349

Revision history:
Type Tit le Reference
adaptation 0001 SATURN-2-FOR-EFR-DWBA See below
correction A00A CORRECTION TO 0001 19/02/87 See below

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 are 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 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 much simplified NR and/or ZR approximations.

Restrictions:
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 calculation was about 1/3 of the above figure. When the lighter targets and lower E are used, most of the calculations were made within a minute, even with the CDC 6600.

ADAPTATION SUMMARY
Manuscript Title: Exact finite range DWBA form factor for heavy-ion induced nuclear reactions.
Authors: T. Tamura, T. Udagawa, K.E. Wood, H. Amakawa
Program title: 0001 SATURN-2-FOR-EFR-DWBA
Catalogue identifier: ABPA_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 18(1979)163
Programming language: Fortran.
Classification: 17.11.

Nature of problem:

Solution method:
Calculation of the form factor involves a four-fold integral, though it can normally be reduced to a sum of single-fold integrals. When the original program is used for cases with large angular momentum transfer the sum results in a severe cancellation between summands, making the results inaccurate. The present program uses a new coordinate system in performing the above integral and makes it possible to avoid the difficulty.

CORRECTION SUMMARY
Manuscript Title: Exact finite range DWBA form factor for heavy-ion induced nuclear reactions. (C.P.C. 18(1979)163).
Authors: T. Tamura, T. Udagawa, K.E. Wood, H. Amakawa
Program title: A00A CORRECTION TO 0001 19/02/87
Catalogue identifier: ABPA_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 44(1987)227
Classification: 17.11.