EGYPT RUSSIA

STUDY OF HEAVY-ION ELASTIC SCATTERING WITHIN OPTICAL MODEL

Prepared by

Moamen Ragab Ali

Supervisor

Anderey.S.Denikin

Flerov Laboratory of Nuclear Reactions. JINR ( Dubna, Russia)

PRESENTATION OUTLINES

 INTRODUCTION  MODEL and EQUIPMENT DESCRIPTION  OBTAINED RESULTS  ACKNOWLEDGEMENT

INTRODUCTION: WHY ELASTICS SCATTERING MAY BE INTERESTED.       One of the most populating reaction channels One of the most elaborated processes in nuclear reaction theory Standard experimental tool to explore nuclear dynamics Provides information on total reaction cross section Provides information on parameters of nucleus-nucleus potential Important for description of dynamics in other reaction channels

NUCLEAR DYNAMICS: ELASTIC SCATTERING

Optical model of the elastic scattering of nuclear particles in NRV

   2 2  The Schrodinger equation

V OM

   

E k

 and boundary condition at infinity (for uncharged particles)  

e ikr

cos  

f

Elastic scattering cross section in general case is

f

   1 2

ik d d



l

(2

l



f C

 1)

e

2

i



l

(

S l

 

f

 

P l

2 

e ikr r

3D wave function and classical scattering trajectories

3D wave function and classical scattering trajectories

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 ( 92 Zr( 16 O, 16 O)) E L Choice of parameters of Optical model potential = 56 MeV) Calculation and visualization of the following quantities: • Differential Cross Section, • S-Matrix, • OM Interaction, • 3-Dimensional wave function.

ACKNOWLEGEMENT

Thanks too much to JINR Thanks too much to ASRT,Egypt

Special Thanks to Dr. A.S.DENIKIN