12 research outputs found
Some mass relations for mesons and baryons in Regge phenomenology
In the quasilinear Regge trajectory ansatz, some useful linear mass
inequalities, quadratic mass inequalities and quadratic mass equalities are
derived for mesons and baryons. Based on these relations, mass ranges of some
mesons and baryons are given. The masses of bc-bar and ss-bar belonging to the
pseudoscalar, vector and tensor meson multiplets are also extracted. The J^P of
the baryon Xi_cc(3520) is assigned to be 1/2^+. The numerical values for Regge
slopes and intercepts of the 1/2^+ and 3/2^+ SU(4) baryon trajectories are
extracted and the masses of the orbital excited baryons lying on the 1/2^+ and
3/2^+ trajectories are estimated. The J^P assignments of baryons Xi_c(2980),
Xi_c(3055), Xi_c(3077) and Xi_c(3123) are discussed. The predictions are in
reasonable agreement with the existing experimental data and those suggested in
many other different approaches. The mass relations and the predictions may be
useful for the discovery of the unobserved meson and baryon states and the J^P
assignment of these states.Comment: 41 pages, 1 figure, Late
Hadronic Regge Trajectories: Problems and Approaches
We scrutinized hadronic Regge trajectories in a framework of two different
models --- string and potential. Our results are compared with broad spectrum
of existing theoretical quark models and all experimental data from PDG98. It
was recognized that Regge trajectories for mesons and baryons are not straight
and parallel lines in general in the current resonance region both
experimentally and theoretically, but very often have appreciable curvature,
which is flavor-dependent. For a set of baryon Regge trajectories this fact is
well described in the considered potential model. The standard string models
predict linear trajectories at high angular momenta J with some form of
nonlinearity at low J.Comment: 15 pages, 9 figures, LaTe
Logarithmic perturbation theory for radial Klein-Gordon equation with screened Coulomb potentials via expansions
The explicit semiclassical treatment of logarithmic perturbation theory for
the bound-state problem within the framework of the radial Klein-Gordon
equation with attractive real-analytic screened Coulomb potentials, contained
time-component of a Lorentz four-vector and a Lorentz-scalar term, is
developed. Based upon -expansions and suitable quantization conditions a
new procedure for deriving perturbation expansions is offered. Avoiding
disadvantages of the standard approach, new handy recursion formulae with the
same simple form both for ground and excited states have been obtained. As an
example, the perturbation expansions for the energy eigenvalues for the
Hulth\'en potential containing the vector part as well as the scalar component
are considered.Comment: 14 pages, to be submitted to Journal of Physics