IAEA0906 AUJP.

1. NAME OR DESIGNATION OF PROGRAM:  AUJP.

3. DESCRIPTION OF PROGRAM OR FUNCTION

Program for searching automatically an optimum set of the optical potential parameters by  means of the chi**2 method. The quantity chi**2 given includes the relative errors of the calculated values with the experimental data  for the total and nonelastic cross sections as well as the elastic scattering distributions. The optical potentials considered here are Wood-Saxon for the real part, Wood-Saxon and derivative Wood-Saxon for the imaginary part corresponding to the volume and surface absorptions respectively, and Thomas form for the spin-orbit part. The calculations of the compound nucleus scattering are within the framework of the width fluctuation corrected Hauser Feshbach formula.

4. METHOD OF SOLUTION

The minimization technique used is the complex  method which does not call for derivative and then is termed direct- search method.

5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

1) The maximum number of the isotopes of the nucleus is limited       to six.
   2) The maximum number of the adjustable parameters is eleven.

6. TYPICAL RUNNING TIME

The running time for searching an optimum set of the optical potential parameters depends or the needed iterative  stages. If a better set of parameters is available in the initial complex form which consists of 2K sets of parameters (K being the number of the adjustable parameters), the needed iteractive stages and thereby the running time can then be decreased. For example, for searching an optimum set of nine optical potential parameters of natural magnesium with three isotopes, if the energy points of the total cross section, nonelastic cross section and elastic angular distribution are chosen to be eleven, eight and six respectively, the iterative stages can be 57 and the running time is about two hours.

7. UNUSUAL FEATURES OF THE PROGRAM

   1) The minimization technique is taken from the complex method.
2) The calculations of the optical model and Hauser Fesbach       formula are combined in one program.
      The search for optimum parameters may be performed for a
single-isotope nucleus or for a multi-isotope nucleus. In the  latter case the optical potential parameters of some isotopes       may be known and utilized in the input.

8. RELATED AND AUXILIARY PROGRAMS:

10. REFERENCES

- C.M. Perey et al.,
  Atomic Data and Nuclear Data Tables, 17, 3 (1976).
- Su Zong-Di et al.,
  Physica Energiae Fortis et Physica Nuclears, 3, 80 (1979).
- D.G. Luenberger,
  Introduction to Linear and Nonlinear Programming,
  Addison-Wesley Pubilishing Company, 1973, pp. 30-62.

11. MACHINE REQUIREMENTS:

13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:

14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:

15. NAME AND ESTABLISHMENT OF AUTHORS

   Zhou Hungmo, Yu Ziqiang, Zuo Yixin
   Chen Baoqian, Xu Chenhxian
      C.N.D.C.
   Nankai University

source program   mag tapeSource Program                             SRCTP