Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-11-14
Physics
High Energy Physics
High Energy Physics - Phenomenology
15 pages LaTex,no figures, alternate e-mail address: parkso@nuri.net
Scientific paper
Beyond the standard model, a static potential between quark pairs is obtained phenomenologically (QCD inspired), associated with the range of strong interaction, when the virtual exchange gluon squared momentum transfer has a periodicity for periodic boundary conditions of the quark-pair system enclosed by a constant volume, in the lowest order of the effective perturbed QCD (in which the gluon propagator is replaced by the effective gluon one). This potential includes a periodicity dependent effect, characterized by a finite face value of the periodicity $N$, in addition to the periodicity independent potential (the Coulomb type plus linear one). That periodicity dependent effect, dominant at short distance, is applied to an explanation of the top quark mass $$m_t=8\pi m_\pi N^{{1/2}},$$ whose numerically calculated results indicate approximately both upper and lower bounds of $m_t$ $$177~\mbox{{GeV}} > m_t > 173 ~\mbox{{GeV}}$$ for the range of strong interaction $L=1.40~fm~(=m_\pi^{-1})$.
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