BoseEinstein correlation within the framework of hadronic mechanics
Abstract
The BoseEinstein 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 Einstein’s special relativity and relativistic quantum mechanics are the valid frameworks to represent this phenomenon. Although, these frameworks are incomplete and require arbitrary parameters (chaoticity) to fit the experimental data which are prohibited by the basic axioms of relativistic quantum mechanics, such as that for the vacuum expectation values. Moreover, correlated mesons can not be treated as a finite set of isolated pointlike particles because it is nonlocal event due to overlapping of wavepackets. Therefore, the BoseEinstein correlation is incompatible with the axiom of expectation values of quantum mechanics. In contrary, relativistic hadronic mechanics constructed by Santilli allows an exact representation of the experimental data of the BoseEinstein correlation and restore the validity of the Lorentz and Poincare symmetries under nonlocal and nonHamiltonian internal effects. Further, F. Cardone and R. Mignani observed that the BoseEinstein twopoint correlation function derived by Santilli is perfectly matchedmore »
 Authors:
 Vilasrao Deshmukh College of Engineering and Technology, Mouda, India441104, Email: csburande@gmail.com (India)
 Publication Date:
 OSTI Identifier:
 22391100
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: AIP Conference Proceedings; Journal Volume: 1648; Journal Issue: 1; Conference: ICNAAM2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 2228 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANTIPROTONS; COMPARATIVE EVALUATIONS; CORRELATION FUNCTIONS; CORRELATIONS; EXPECTATION VALUE; HAMILTONIANS; NUCLEAR FIREBALLS; PARTICLE PRODUCTION; QUANTUM MECHANICS; RELATIVISTIC RANGE; RELATIVITY THEORY; SYMMETRY
Citation Formats
Burande, Chandrakant S. BoseEinstein correlation within the framework of hadronic mechanics. United States: N. p., 2015.
Web. doi:10.1063/1.4912712.
Burande, Chandrakant S. BoseEinstein correlation within the framework of hadronic mechanics. United States. doi:10.1063/1.4912712.
Burande, Chandrakant S. 2015.
"BoseEinstein correlation within the framework of hadronic mechanics". United States.
doi:10.1063/1.4912712.
@article{osti_22391100,
title = {BoseEinstein correlation within the framework of hadronic mechanics},
author = {Burande, Chandrakant S.},
abstractNote = {The BoseEinstein 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 Einstein’s special relativity and relativistic quantum mechanics are the valid frameworks to represent this phenomenon. Although, these frameworks are incomplete and require arbitrary parameters (chaoticity) to fit the experimental data which are prohibited by the basic axioms of relativistic quantum mechanics, such as that for the vacuum expectation values. Moreover, correlated mesons can not be treated as a finite set of isolated pointlike particles because it is nonlocal event due to overlapping of wavepackets. Therefore, the BoseEinstein correlation is incompatible with the axiom of expectation values of quantum mechanics. In contrary, relativistic hadronic mechanics constructed by Santilli allows an exact representation of the experimental data of the BoseEinstein correlation and restore the validity of the Lorentz and Poincare symmetries under nonlocal and nonHamiltonian internal effects. Further, F. Cardone and R. Mignani observed that the BoseEinstein twopoint correlation function derived by Santilli is perfectly matched with experimental data at high energy.},
doi = {10.1063/1.4912712},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1648,
place = {United States},
year = 2015,
month = 3
}

In this paper the author submits the hypothesis that the BoseEinstein correlation originates from a nonlocal component of the strong interactions in the interior of the fireball caused by the deep overlapping of the charge distributionswavepackets of the p{bar p} collision at high energy, along the historical legacy of Bogoliubov, Fermi and others. Owing to their contact nature, the notion of potential energy has no meaning for the nonlocal internal interactions here considered which, as such, are structurally outside the representational capabilities of quantum mechanics on analytic, topological, operator and other grounds. The author therefore studies the BoseEinstein correlation viamore »

Nonlocal formulation of the BoseEinstein correlation within the context of hadronic mechanics, Part II
In this paper the author submits the hypothesis that the BoseEinstein correlation originates from a nonlocal component of the strong interactions in the interior of the fireball caused by the deep overlapping of the charge distributionswavepackets of the p{bar p} collision at high energy, along the historical legacy of Bogoliubov, Fermi and others. Owing to their contact nature, the notion of potential energy has no meaning for the nonlocal internal interactions here considered which, as such, are structurally outside the representational capabilities of quantum mechanics on analytic, topological, operator and other ground. The author therefore studies the BoseEinstein correlation viamore » 
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