211 research outputs found
Quantum fluctuations of the angular momentum and energy of the ground state
Quasiclassical solution of the three-dimensional Schredinger's equation is
given. The existence of nonzero minimal angular momentum M_0 = \hbar /2 is
shown, which corresponds to the quantum fluctuations of the angular momentum
and contributes to the energy of the ground state.Comment: 5 pages, LaTe
Glueball masses and Regge trajectories for the QCD-inspired potential
Bound state of two massive constituent gluons is studied in the potential
approach. Relativistic quasi-classical wave equation with the QCD-inspired
scalar potential is solved by the quasi-classical method in the complex plane.
Glueball masses are calculated with the help of the universal mass formula. The
hadron Regge trajectories are given by the complex non-linear function in the
whole region of the invariant variable . The Chew-Frautschi plot of the
leading glueball trajectory, , has the properties of the t-channel
Pomeron, which is dual to the glueball states in the s channel. The imaginary
part of the Pomeron is also calculated.Comment: 21 pages, 3 figures. arXiv admin note: substantial text overlap with
arXiv:1107.1671, and with arXiv:hep-ph/0406153, arXiv:0810.4453 by other
author
Complex masses of resonances and the Cornell potential
Physical properties of the Cornell potential in the complex-mass scheme are
investigated. Two exact asymptotic solutions of relativistic wave equation for
the coulombic and linear components of the potential are used to derive the
resonance complex-mass formula. The centered masses and total widths of the
-family resonances are calculated.Comment: 12 pages, 1 figure, 1 tabl
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