Covariant and Heavy Quark Symmetric Quark Models

There exist relativistic quark models (potential or MIT-bag) which satisfy the heavy quark symmetry (HQS) relations among meson decay constants and form factors. Covariant construction of the momentum eigenstates, developed here, can correct for spurious center-of-mass motion contributions.Proton form factor and M1 transitions in quarkonia are calculated. Explicit expression for the Isgur-Wise function is found and model determined deviations from HQS are studied. All results depend on the model parameters only. No additional ad hoc assumptions are needed.Comment: 34 pages (2 figures not included but avaliable upon request), LATEX, (to be published in Phys.Rev.D

Thomas-Fermi calculations for atoms in high magnetic field using realistic model

393-395An approximate solution of the Thomas-Fermi equation for positive ions in a high magnetic field is obtained by making use of the variational principle. The radial wavefunctions of the hydrogen-like atom are used as the trial function that contains some variational parameters and satisfies the appropriate boundary and the normalization conditions. These parameters are determined by extemalizing the variational expression with respect to the parameters. These parameter values are then used to obtain the desired physical quantities. The initial slope of the variational trial function for several ions is obtained from which the energy and the ionization energy can be found. The results of the present calculation are in good agreement with those available in literature.</span