Transcript Study of heavy-ionelastic scattering within optical mode

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.
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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
The Schrodinger equation
 2 2
 ()
()



V

(
r
,
k
)

E

(r , k )
OM 
k
 2


and boundary condition at infinity (for uncharged particles)
Elastic scattering cross section in general case is
f ( ) 
 (  ) (r , k )  eikr cos
d
2
( )  fC ( )  f ( )
d
1
(2l  1)e2i l ( Sl  1) Pl (cos  )

2ik l
eikr
 f ( )
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 (92Zr(16O,16O)) EL = 56 MeV)
 Choice of parameters of Optical model potential
 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