Optical Model Analysis of Elastic Scattering within Low-energy - - PowerPoint PPT Presentation

Optical Model Analysis of Elastic Scattering within Low-energy Nuclear knowledge base NRV

Bonginkosi R Sitoe Supervisor Dr. A Denikin UFH JINR

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• Theory and Literature
• Description of Equipment
• Obtained Results
• Conclusion
• Acknowledgement

Introduction

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Introduction

§ Theory Scattering is a general physical process where some forms of radiation, such as light, sound, or moving particles, are forced to deviate from a straight trajectory by one or more localized non- uniformities in the medium through which they pass § 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

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

q

Search for available experimental data in the databases

q

Processing and drawing these data

• Use some graphics packages

q

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.

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Nuclear Data Resources in the Internet Nuclear Data Resources in the Internet

γ-Ray Spectra

Radium Institute, St.-Petersburg CDFE MSU, Moscow Reaction Data Database Durham, UK

q These databases provide detailed information on their subject only. q In order to obtain complete data user needs to visit all databases. 5

Solution Solution

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

• n low energy nuclear physics.

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

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Example:

Optical Model for Elastic scattering in NRV

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2

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

l

i l l l

f l e S P ik

σ

ϑ ϑ ′ = + −

∑

[ ]

( ) ( ) ( ) ( ) ( ) ( ) ( )

OM C N SO SO

V r V r V r iW r V r iW r l s = + + + + ⋅ r r

( ) cos

( , ) ( )

ikr ikr

e r k e f r

ϑ

ϑ

+

Ψ → + r r

2

( ) ( ) ( )

C

d f f d σ ϑ ϑ ϑ ′ = + Ω

2 2 ( ) ( )

( , ) ( , ) 2

OM k

V r k E r k µ

+ +

  − ∇ + Ψ = Ψ     r r r h r r

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 NRV Optical model of the elastic scattering of nuclear particles in NRV

Nuclear Dynamics: Elastic Scattering Nuclear Dynamics: Elastic Scattering

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Elastic Scattering of Proton on 58 Ni in The Energy Range From 16 to 40 MeV

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Results: Results:

q Get acquainted with Knowledge Base on Low energy nuclear physics – NRV http://nrv.jinr.ru/nrv/ q 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 of the following quantities:

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

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Acknowledgement

Thank you So much to JINR To D.r Jacobs , Prof Lekale NRF , DST and others We appreciate Your Consideration D.R A.Denikin I appreciate your time and I thank you very much 11

Thank You For Your Attention!

Спасибо за ваше время

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