Pramana

, 88:21 | Cite as

Bound-state energy of double magic number plus one nucleon nuclei with relativistic mean-field approach

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Abstract

In this work, we have obtained energy levels and charge radius for the β-stability line nucleus, in relativistic shell model. In this model, we considered a close shell for each nucleus containing double magic number and a single nucleon energy level. Here we have taken 41Ca with a single neutron in the 40Ca core as an illustrative example. Then we have selected the Eckart plus Hulthen potentials for interaction between the core and the single nucleon. By using parametric Nikiforov–Uvarov (PNU) method, we have calculated the energy values and wave function. Finally, we have calculated the charge radius for 17O, 41Ca, 49Ca and 57Ni. Our results are in agreement with experimental values and hence this model can be applied for similar nuclei.

Keywords

Shell model Dirac equation Eckart potential Hulthen potential parametric Nikiforov–Uvarov method. 

PACS No.

21.10.Dr 
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Notes

Acknowledgements

The authors would like to thank the referee for the helpful comments and suggestions which have improved the manuscript greatly.

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Copyright information

© Indian Academy of Sciences 2017

Authors and Affiliations

  1. 1.Department of PhysicsShahrood University of TechnologyShahroodIran

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