Shell model calculation on even-even Germanium isotopes

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Presentation transcript:

Shell model calculation on even-even Germanium isotopes Presented by; Amin Attarzaeh PhD student of PNUM university Mashhad, Iran. August 2015 Groningen , Netherlands

Theory of applied nuclear model. Calculation of energy levels. Transition probability values, B(E2). Quadrupole deformation parameter calculation. Landscape

Theory of applied nuclear model shell-model is one of the most prominent and successful nuclear model which can be compared with the electron shell model for atoms. magic numbers 2,8,20,40,50,82 and 126 play important roles in determining nuclear properties. Existence of spatial levels is determined by Pauli Exclusion Principle. By knowing nuclear potentials for all nucleons in a nucleus one can calculate energy levels.

Calculation of energy levels Energy levels of 70Ge, calculated by Oxbash and compared by experimental data. # J+ # Energy EOX MeV Eexp MeV 1 0.917 1.039 2 1.690 1.707 3 1.953 2.153 4 2.459 2.451 5 2.510 2.306 7 2.831 2.534 8 3.162 3.194 9 3.177 2.944

Calculation of energy levels Comparison fitting curve of Oxbash result and Experimental data for 70Ge

Calculation of energy levels Energy levels of 72Ge, calculated by Oxbash and compared by experimental data. # J+ # Energy EOX MeV Eexp MeV 1 2 0.875 0.834 3 4 2.227 2.049 2.348 2.029 5 3.070 3.034 7 3.443 3.378 8 3.841 3.840 9 3.886 3.872 10 4.656 4.705

Calculation of energy levels Comparison fitting curve of Oxbash result and Experimental data for 72 Ge Energy level (Mev) Red : Experiment Blue : Oxbash

SLG model space and SLGM interaction resource

Calculation of energy levels Energy levels of 74Ge, calculated by Oxbash and compared by experimental data. # J+ # Energy EOX MeV Eexp MeV 1 2 0.393 0.595 3 1.033 1.204 4 1.493 1.482 5 2.042 1.197 6 2.167 2.227 7 2.409 2.696

Calculation of energy levels Comparison fitting curve of Oxbash result and Experimental data for 74 Ge Energy level (Mev)

Calculation of energy levels Energy levels of 76Ge, calculated by Oxbash and compared by experimental data. # J+ # Energy EOX MeV Eexp MeV 1 2 0.400 0.562 3 1.151 1.108 4 1.755 1.911 5 1.896 2.203 6 2.120 1.915 7 2.197 2.204 8 2.460 2.591 9 2.623 2.897

Calculation of energy levels Comparison fitting curve of Oxbash result and Experimental data for 76 Ge Energy level (Mev)

JJ44pn model space and JJ44bpn interaction resource

Transition probability values, B(E2)

Deformation parameter, β2

Transition probability and Deformation parameter of 70-76 Ge isotopes B(E2); 01+ 21+ β2 Deformation Parameter β2 (EXP) Model space interaction 70Ge 0.1702 E +3 0.22060 0.22640 SLG (Oxbash) SLGM 72Ge 0.2307 E +3 0.25014 0.24020 74Ge 0.3020 E +3 0.28330 0.28570 jj44pn ( Nushellx) jj44bpn 76Ge 0.2617 E +3 0.25910 0.26500 jj44pn (Nushellx)

First excited energy MeV First excited energy ,Transition probability and Deformation parameter of 70-76 Ge isotopes First excited energy MeV B(E2); 01+ 21+ β2 β2 (EXP) 70Ge 1.039 0.1702 E +3 0.22060 0.22640 72Ge 834.011 0.2307 E +3 0.25014 0.24020 74Ge 0.595 0.3020 E +3 0.28330 0.28570 76Ge 0.562 0.2617 E +3 0.25910 0.26500

Shell model levels

Results and Landscape The out put of OXBASH calculation of energy levels for 70-72Ge isotopes has good agreement with empirical data with SLG model space and SLGM interaction. To evaluate of B(E2), for 74Ge and 76Ge , jj44pn model space and jj44bpn interaction were used to earn the best fitting with experimental data. The “magic numbers” and their values are not preserved; they evolve for unstable nuclei due to nuclear structure effects. Therefore, nuclear properties of the first excited 21+ states in even-even nuclei provide important information on evolution of nuclear properties and shell model studies. Another important application of B(E2) evaluated data is for nuclear reaction model calculations. The precise values of quadrupole deformation parameters are absolutely essential for the Reference Input Parameter Library (RIPL) ,and nuclear reaction model codes such as EMPIRE and TALYS . These codes are extensively used for ENDF evaluations ,and the ENDF library provides evaluated neutron cross sections for frequently-used nuclear science and technology codes GEANT and MCNP.

We wish to thank Professor B We wish to thank Professor B. Alex Brown from the Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University for providing us the OXBASH code.

Thanks for your attention