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 $t$. The Chew-Frautschi plot of the leading glueball trajectory, $\alpha_P(t)$, 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 $\rho$-family resonances are calculated.Comment: 12 pages, 1 figure, 1 tabl