**1. NAME AND TITLE**

PELINSCA: A Code System for Nuclear Elastic and Inelastic Scattering Calculations.

**2. CONTRIBUTOR**

Atomic Energy Board, Pretoria, Republic of South Africa, through the OECD NEA Data Bank,
Gif-sur-Yvette, France.

**3. CODING LANGUAGE AND COMPUTER**

Fortran IV; IBM 360/370.

**4. NATURE OF PROBLEM SOLVED.**

The PELINSCA code calculates differential and total cross sections as well as polarization for
nuclear elastic scattering of spin 0 or spin 1/2 particles. PELINSCA calculates cross sections
(differential and total) and decay gamma-ray angular correlation for inelastic processes by means of
standard Hauser-Feshbach (HF) theory) or with modified HF theory including width fluctuation
corrections. In elastic scattering, optical model parameters may be optimized in a least squares
procedure involving experimental measurements.

**5. METHOD OF SOLUTION**

The Schroedinger equation for complex potentials is solved according to the Fox-Goodwin method
of numerical integration. Coulomb wave functions are calculated by using recurrence relations
depending on the range of Coulomb and energy parameters. Least squares fits are made using
parameter grid and direction of steepest descent. Statistical model calculations are made using closed
mathematical expressions.

**6. RESTRICTIONS OR LIMITATIONS**

Elastic scattering calculations are limited to spin 0 or spin 1/2 particles. The number of partial
waves is limited to 51. Statistical model calculations on targets with spin less than or equal to 5 and
with partial waves up to l=6. Not suitable for heavy-ion Hauser-Feshbach calculations without first
removing dimensional limitations. Program handles up to 3 reaction types simultaneously, e.g., (p,p),
(p,n) and (p,alpha), each reaction channel having up to 33 final nuclear states.

**7. TYPICAL RUNNING TIME**

The typical running time is strongly dependent on the type of calculation performed (elastic
scattering or Hauser-Feshbach), the number of incident particle energy points, and the number of
reactions and final states in a statistical model calculation. Running time may vary between 30 seconds
and as much as 20 to 30 minutes on the IBM 370/155. When executed at NEADB the sample problem
compiled on the IBM 360/195 using the Fortran H compiler required 52 seconds; the GO step required
5 seconds. The operating system under which the program executed was the IBM 360 O.S. MVT.

**8. COMPUTER HARDWARE REQUIREMENTS**

On the IBM 360/195 the sample problem required 300 K in the compile step and 250 K in the GO
step.

**9. COMPUTER SOFTWARE REQUIREMENTS**

A Fortran IV compiler is required.

**10. REFERENCE**

C.A. Engelbrecht, H. Fiedeldey, J.W. Tepel, "PELINSCA, A Program for Nuclear Elastic and
Inelastic Scattering Calculations," Atomic Energy Board, Pretoria, South Africa, Report PEL-202
(October 1974).

**11. CONTENTS OF CODE PACKAGE**

Included are the referenced document and one (1.2MB) DOS diskette which contains the source
program and sample problem input and output.

**12. DATE OF ABSTRACT**

January 1982.

**KEYWORD: ** NUCLEAR MODELS