3,322 research outputs found
Bound Energy Masses of Mesons Containing the Fourth Generation and Iso-singlet Quarks
The fourth Standard Model (SM) family quarks and weak iso-singlet quarks The
fourth Standard Model (SM) family quarks and weak iso-singlet quarks predicted
by GUT are considered. The spin-average of the
pseudoscalar and vector
quarkonium binding masses of the new mesons formed by the fourth Standard Model
(SM) family and iso-singlet with their mixings to ordinary
quarks are investigated. Further, the fine and hyperfine mass splittings of the
these states are also calculated. We solved the Schr\"{o}dinger equation with
logarithmic and Martin potentials using the Shifted large- expansion
technique. Our results are compared with other models to gauge the reliability
of the predictions and point out differences.Comment: 13 page
A Systematic Study on Nonrelativistic Quarkonium Interaction
recently proposed strictly phenomenological static quark-antiquark potential
belonging to the generality is
tested with heavy quarkonia in the context of the shifted large N-expansion
method. This nonrelativistic potential model fits the spin-averaged mass
spectra of the and quarkonia within a few
and also the five experimentally known leptonic decay widths of the
and vector states. Further, we compute the hyperfine
splittings of the bottomonium spectrum as well as the fine and hyperfine
splittings of the charmonium spectrum. We give predictions for not yet observed
splittings. The model is then used to predict the masses of the
remaining quarkonia and the leptonic decay widths of the two pseudoscalar
c\bar{b%} states. Our results are compared with other models to gauge the
reliability of the predictions and point out differences.Comment: 24 page
New exact solution of the one dimensional Dirac Equation for the Woods-Saxon potential within the effective mass case
We study the one-dimensional Dirac equation in the framework of a position
dependent mass under the action of a Woods-Saxon external potential. We find
that constraining appropriately the mass function it is possible to obtain a
solution of the problem in terms of the hypergeometric function. The mass
function for which this turns out to be possible is continuous. In particular
we study the scattering problem and derive exact expressions for the reflection
and transmission coefficients which are compared to those of the constant mass
case. For the very same mass function the bound state problem is also solved,
providing a transcendental equation for the energy eigenvalues which is solved
numerically.Comment: Version to match the one which has been accepted for publication by
J. Phys. A: Math. Theor. Added one figure, several comments and few
references. (24 pages and 7 figures
Path Integral Solution of PT-/non-PT-Symmetric and non-Hermitian Hulthen Potential
The wave functions and the energy spectrum of PT-/non-PT-Symmetric and non-Hermitian Hulthen potential are of an exponential type and are obtained via the path integral. The path integral is constructed using parametric time and point transformation
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