American Journal of Modern Physics
Volume 5, Issue 2-1, March 2016, Pages: 137-142
Received: Jul. 8, 2015;
Accepted: Jul. 9, 2015;
Published: Jun. 1, 2016
Views 3357 Downloads 121
Chandrakant S. Burande, Vilasrao Deshmukh College Engineering and Technology, Mouda, Nagpur, India,
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.
Chandrakant S. Burande,
Study of Bose-Einstein Correlation Within the Framework of Hadronic Mechanics, American Journal of Modern Physics. Special Issue: Issue II: Foundations of Hadronic Mechanics .
Vol. 5, No. 2-1,
2016, pp. 137-142.
R. M. Santilli, Hadronic Mathematics, Mechanics and Chemistry, Vol. I-V, International Academic Press, Palm Harbor, U.S.A., 2008.
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.
B. Lorstad, Int. J. Mod. Phys. A 4, 2861 (1989).
D. H. Boal et al. Rev. Mod. Phys. 62, 553 (1990).
R. Adler et al., Z. Phys. C 63, 541 (1994).
M. Gaspero et al., Phys. Lett. B 58, 861 (1995).
G. Goldhaber, S. Goldhaber, W. Lee, and A. Pais, Phys. Rev. 120, 300, (1960).
R. M. Santilli, Hadronic J. 15, 1 and 81 (1992).
F. Cardone and R. Mignani, JETP, 83, 435 (1996).
F. Cardone, M. Gasperini and R. Mignani Euop. Phys. J. C 4, 705 (1998).
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.
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.