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Single particle closed orbits in Yukawa potential

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Abstract

Orbit of a single particle moving under the Yukawa potential is studied and there exists precessing ellipse type orbits. The amount of precession can be tuned through the coupling parameter \(\alpha\). With a suitable choice of the coupling parameter; we get a closed bound orbit. In some cases few petals are observed which is possessed of a closed bound nature for suitably chosen coupling parameter. Threshold energy has also been calculated for bound orbits.

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Acknowledgements

RM and SS are thankful to Mrityunjay Kundu (Institute for Plasma Research, HBNI, Gandhinagar, Gujarat, India.), Sayantani Bhattacharyya(Ramakrishna Mission Vivekananda University, Belur Math, Howrah, Kolkata, India.) (presently at IIT Kanpur) and Abhijit Sen (Institute for Plasma Research, HBNI, Gandhinagar, Gujarat, India.) for their valuable suggestions and discussions. One of the authors SS would like to thank to The University Grants Commission, India for providing financial support through Project No: (PSW-065/14-15, Date 2nd Feb-15, S.No. 223742).

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Authors and Affiliations

  1. Institute for Plasma Research, HBNI, Gandhinagar, Gujarat, India

    R Mukherjee

  2. Ramakrishna Mission Vivekananda University, Belur Math, Howrah, Kolkata, India

    R Mukherjee

  3. Ramakrishna Mission Residential College (Autonomous), Narendrapur, Kolkata, India

    R Mukherjee & S Sounda

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  1. R Mukherjee
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  2. S Sounda
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Correspondence to R Mukherjee.

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Mukherjee, R., Sounda, S. Single particle closed orbits in Yukawa potential. Indian J Phys 92, 197–203 (2018). https://doi.org/10.1007/s12648-017-1100-5

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  • DOI: https://doi.org/10.1007/s12648-017-1100-5

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