Optical Model Analysis of Elastic Scattering within Low-energy Nuclear knowledge base NRV Bonginkosi R Sitoe Supervisor Dr. A Denikin UFH JINR 1
• Theory and Literature • Description of Equipment • Obtained Results • Conclusion • Acknowledgement Introduction 2
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 3
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. 4
Nuclear Data Resources in the Internet Nuclear Data Resources in the Internet q These databases provide detailed information on their subject only. q In order to obtain complete data user needs to visit all databases. γ -Ray Spectra CDFE Reaction Data Database Radium Institute, MSU, Moscow Durham, UK St.-Petersburg 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 on low energy nuclear physics. We named this specific software the “Nuclear Reactions Video” (NRV) 6
Example: Optical Model for Elastic scattering in NRV 7
Nuclear Dynamics: Elastic Scattering Nuclear Dynamics: Elastic Scattering Optical model of the elastic scattering of nuclear particles in NRV Optical model of the elastic scattering of nuclear particles in NRV The Schrodinger equation r r r 2 h r r − ∇ + Ψ + = Ψ + 2 ( ) ( ) V ( , ) r k E ( , ) r k µ OM k 2 with phenomenological Optical Potential r r [ ] = + + + + ⋅ V ( ) r V ( ) r V ( ) r iW r ( ) V ( ) r iW ( ) ( r l s ) OM C N SO SO and boundary condition at infinity (for uncharged particles) r ikr r e Ψ + → ϑ + ϑ ikr ( ) cos ( , ) r k e f ( ) r Elastic scattering cross section in general case is σ ϑ d ′ = ϑ + ϑ 2 ( ) f ( ) f ( ) Ω C d 1 ∑ ′ ϑ = + σ − ϑ 2 i f ( ) (2 l 1) e ( S 1) P (cos ) l l l 2 ik l 8
Elastic Scattering of Proton on 58 Ni in The Energy Range From 16 to 40 MeV 9
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 ( 92 Zr( 16 O, 16 O)) E L = 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. 10
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 12
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