Optical Model Analysis of Elastic Scattering within

Low-energy Nuclear knowledge base NRV

Optical Model Analysis of Elastic Scattering within

Low-energy Nuclear knowledge base NRVNduna ChumisaniTiniku MalulekeNduna ChumisaniTiniku Maluleke

Supervisor : Dr. A. DenikinSupervisor : Dr. A. Denikin

Everybody time to time does the following:Everybody time to time does the following:

Search for available experimental data in the databases

Processing and drawing these data

Use some graphics packages

Analysis of the experimental data

Finding appropriate theoretical model

Preparation of input data and run the code

Processing of the obtained results

It requires time, resources and experience.

Nuclear Data Resources in the InternetNuclear Data Resources in the Internet

-Ray Spectra Radium Institute,

St.-Petersburg

CDFE MSU, Moscow

Reaction Data Database Durham, UK

These databases provide detailed information on their subject only.

In order to obtain complete data user needs to visit all databases.

SolutionSolution

Combination of the databases on nuclear properties and

experimental cross sections of nuclear reactions along with computer codes of theoretical

models

in a unique system which we name

the Knowledge Base on low energy nuclear physics.

We named this specific software the “Nuclear Reactions Video” (NRV)

Example: Optical Model for Elastic scattering in NRV

For a given set of the OM model parameters the optical model code of the NRV allows one to calculate and present graphical and tabular forms all of the following quantities:

The partial waves The partial S-Matrix elements The total wave function in a 3-Dimensional Space and The differential Cross Section.

An automatic search of the OMP parameters can be fulfilled with a fit of the calculated elastic scattering angular distribution to the available experimental data. Many additional possibilities are also included to the Optical Model code which allows one to analyze an investigated process in detail.

21( ) (2 1) ( 1) (cos )

2li

l ll

f l e S Pik

( ) ( ) ( ) ( ) ( ) ( ) ( )OM C N SO SOV r V r V r iW r V r iW r l s

( ) cos( , ) ( )ikr

ikr er k e f

r

2( ) ( ) ( )C

df f

d

22 ( ) ( )( , ) ( , )

2 OM kV r k E r k

with phenomenological Optical Potential

and boundary condition at infinity (for uncharged particles)

The Schrodinger equation

Elastic scattering cross section in general case is

Optical model of the elastic scattering of nuclear particles in NRVOptical model of the elastic scattering of nuclear particles in NRVNuclear Dynamics: Elastic ScatteringNuclear Dynamics: Elastic Scattering

Results:Results:

Get acquainted with Knowledge Base on Low energy nuclear physics – NRV http://nrv.jinr.ru/nrv/

Study the Optical model of elastic scattering of nuclear particles and get an experience in work with NRV Optical model:

Preparation of experimental data (34S(p,p) Ep = 30 MeV) Choice of parameters of Optical model potential Calculation and visualization of of the following quantities:

• Differential Cross Section, • S-Matrix, • OM Interaction, • Partial waves,• 3-Dimensional wave function.