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Study of Bose-Einstein Correlation Within the Framework of Hadronic Mechanics

Received: 8 July 2015     Accepted: 9 July 2015     Published: 1 June 2016
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Abstract

The Bose-Einstein correlation is the phenomenon in which protons and antiprotons collide at extremely high energies; coalesce one into the other resulting into the fireball of finite dimension. They annihilate each other and produces large number of mesons that remain correlated at distances very large compared to the size of the fireball. It was believed that special relativity and relativistic quantum mechanics are the valid frameworks to represent this phenomenon. Although, R.M. Santilli showed that the Bose-Einstein correlation requires four arbitrary parameters (chaoticity parameters) to fit the experimental data which parameters are prohibited by the basic axioms of relativistic quantum mechanics, such as that for the vacuum expectation values. Moreover, Santilli showed that correlated mesons can not be treated as a finite set of isolated point-like particles as required for the exact validity of the Lorentz and Poincare's symmetries, because the event is non-local due to overlapping of wavepackets and consequential non-Hamiltonian effects. Therefore, the Bose-Einstein correlation is incompatible with the axiom of expectation values of quantum mechanics. In this paper, we study Santilli's exact and invariant representation of the Bose-Einstein correlation via relativistic hadronic mechanics including the exact representation of experimental data from the first axiomatic principles without adulterations, and consequential exact validity of the Lorentz-Santilli and Poincare-Santilli isosymmetries under non-local and non-Hamiltonian internal effect. We finally study the confirmation of Santilli's representation of the Bose-Einstein correlation by F. Cardone and R. Mignani.

Published in American Journal of Modern Physics (Volume 5, Issue 2-1)

This article belongs to the Special Issue Issue II: Foundations of Hadronic Mechanics

DOI 10.11648/j.ajmp.2016050201.18
Page(s) 137-142
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Bose-Einstein Correlation, Special Relativity, Lorentz-Santilli Isosymmetry

References
[1] R. M. Santilli, Hadronic Mathematics, Mechanics and Chemistry, Vol. I-V, International Academic Press, Palm Harbor, U.S.A., 2008.
[2] I. Gandzha and J. Kadeisvily, New Sciences for a New Era: Mathematical, Physical and Chemical Discoveries of Ruggero Maria Santilli, The Institute for Basic Research, Palm Harbor, Florida, U.S.A., 2011.
[3] B. Lorstad, Int. J. Mod. Phys. A 4, 2861 (1989).
[4] D. H. Boal et al. Rev. Mod. Phys. 62, 553 (1990).
[5] R. Adler et al., Z. Phys. C 63, 541 (1994).
[6] M. Gaspero et al., Phys. Lett. B 58, 861 (1995).
[7] G. Goldhaber, S. Goldhaber, W. Lee, and A. Pais, Phys. Rev. 120, 300, (1960).
[8] R. M. Santilli, Hadronic J. 15, 1 and 81 (1992).
[9] F. Cardone and R. Mignani, JETP, 83, 435 (1996).
[10] F. Cardone, M. Gasperini and R. Mignani Euop. Phys. J. C 4, 705 (1998).
[11] R. M. Santilli,Lie-admissible Approach to the Hadronic Structure, Volume I: Non-applicability of the Galilei and Einstein Relativities in the series Monographs in Theoretical Physics, Hadronic Press, Palm Harbor, Florida, 1978.
[12] R. M. Santilli, Lie-admissible Approach to the Hadronic Structure, Volume II: Coverings of the Galilei and Einstein Relativities in the series Monographs in Theoretical Physics, Hadronic Press, Palm Harbor, Florida, 1981.
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  • APA Style

    Chandrakant S. Burande. (2016). Study of Bose-Einstein Correlation Within the Framework of Hadronic Mechanics. American Journal of Modern Physics, 5(2-1), 137-142. https://doi.org/10.11648/j.ajmp.2016050201.18

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    ACS Style

    Chandrakant S. Burande. Study of Bose-Einstein Correlation Within the Framework of Hadronic Mechanics. Am. J. Mod. Phys. 2016, 5(2-1), 137-142. doi: 10.11648/j.ajmp.2016050201.18

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    AMA Style

    Chandrakant S. Burande. Study of Bose-Einstein Correlation Within the Framework of Hadronic Mechanics. Am J Mod Phys. 2016;5(2-1):137-142. doi: 10.11648/j.ajmp.2016050201.18

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  • @article{10.11648/j.ajmp.2016050201.18,
      author = {Chandrakant S. Burande},
      title = {Study of Bose-Einstein Correlation Within the Framework of Hadronic Mechanics},
      journal = {American Journal of Modern Physics},
      volume = {5},
      number = {2-1},
      pages = {137-142},
      doi = {10.11648/j.ajmp.2016050201.18},
      url = {https://doi.org/10.11648/j.ajmp.2016050201.18},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.2016050201.18},
      abstract = {The Bose-Einstein correlation is the phenomenon in which protons and antiprotons collide at extremely high energies; coalesce one into the other resulting into the fireball of finite dimension. They annihilate each other and produces large number of mesons that remain correlated at distances very large compared to the size of the fireball. It was believed that special relativity and relativistic quantum mechanics are the valid frameworks to represent this phenomenon. Although, R.M. Santilli showed that the Bose-Einstein correlation requires four arbitrary parameters (chaoticity parameters) to fit the experimental data which parameters are prohibited by the basic axioms of relativistic quantum mechanics, such as that for the vacuum expectation values. Moreover, Santilli showed that correlated mesons can not be treated as a finite set of isolated point-like particles as required for the exact validity of the Lorentz and Poincare's symmetries, because the event is non-local due to overlapping of wavepackets and consequential non-Hamiltonian effects. Therefore, the Bose-Einstein correlation is incompatible with the axiom of expectation values of quantum mechanics. In this paper, we study Santilli's exact and invariant representation of the Bose-Einstein correlation via relativistic hadronic mechanics including the exact representation of experimental data from the first axiomatic principles without adulterations, and consequential exact validity of the Lorentz-Santilli and Poincare-Santilli isosymmetries under non-local and non-Hamiltonian internal effect. We finally study the confirmation of Santilli's representation of the Bose-Einstein correlation by F. Cardone and R. Mignani.},
     year = {2016}
    }
    

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    AB  - The Bose-Einstein correlation is the phenomenon in which protons and antiprotons collide at extremely high energies; coalesce one into the other resulting into the fireball of finite dimension. They annihilate each other and produces large number of mesons that remain correlated at distances very large compared to the size of the fireball. It was believed that special relativity and relativistic quantum mechanics are the valid frameworks to represent this phenomenon. Although, R.M. Santilli showed that the Bose-Einstein correlation requires four arbitrary parameters (chaoticity parameters) to fit the experimental data which parameters are prohibited by the basic axioms of relativistic quantum mechanics, such as that for the vacuum expectation values. Moreover, Santilli showed that correlated mesons can not be treated as a finite set of isolated point-like particles as required for the exact validity of the Lorentz and Poincare's symmetries, because the event is non-local due to overlapping of wavepackets and consequential non-Hamiltonian effects. Therefore, the Bose-Einstein correlation is incompatible with the axiom of expectation values of quantum mechanics. In this paper, we study Santilli's exact and invariant representation of the Bose-Einstein correlation via relativistic hadronic mechanics including the exact representation of experimental data from the first axiomatic principles without adulterations, and consequential exact validity of the Lorentz-Santilli and Poincare-Santilli isosymmetries under non-local and non-Hamiltonian internal effect. We finally study the confirmation of Santilli's representation of the Bose-Einstein correlation by F. Cardone and R. Mignani.
    VL  - 5
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Author Information
  • Vilasrao Deshmukh College Engineering and Technology, Mouda, Nagpur, India,

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