9 research outputs found
The Hyperfine Splittings in Bottomonium and the Mesons
A universal description of the hyperfine splittings (HFS) in bottomonium and
the mesons is obtained with a universal strong coupling
constant in a spin-spin potential. Other
characteristics are calculated within the Field Correlator Method, taking the
freezing value of the strong coupling independent of . The HFS MeV, MeV are obtained in full
agreement with experiment both for and . In bottomonium,
MeV for agrees with the BaBar
data, while a smaller HFS, equal to 64(1) MeV, is obtained for . We
predict HFS MeV, MeV, and MeV, which gives
MeV, MeV, and MeV.Comment: 5 pages revtex
The mixing and di-electron widths of higher charmonium states
The di-electron widths of , , and , and
their ratios are shown to be in good agreement with experiment, if in all cases
the mixing with a large mixing angle is taken.
Arguments are presented why continuum states give small contributions to the
wave functions at the origin. We find that the Y(4360) resonance, considered as
a pure state, would have very small di-electron width,
keV. On the contrary, for large mixing between the
and states with the mixing angle ,
keV coincides with the experimental number,
while a second physical resonance, probably Y(4360), has also a rather large
keV. For the higher resonance Y(4660),
considered as a pure state, we predict the di-electron width
keV, but it becomes significantly smaller, namely
0.31 keV, if the mixing angle between the and states
. The mass and di-electron width of the charmonium
state are calculated.Comment: 19 pages, no figure
The Hyperfine Splittings in Heavy-Light Mesons and Quarkonia
Hyperfine splittings (HFS) are calculated within the Field Correlator Method,
taking into account relativistic corrections. The HFS in bottomonium and the
(q=n,s) mesons are shown to be in full agreement with experiment if a
universal coupling is taken in perturbative spin-spin
potential. It gives MeV, MeV
(), while in bottomonium MeV for and 71.1 MeV for
are obtained; just latter agrees with recent BaBar data. For unobserved
excited states we predict MeV,
MeV, and also MeV,
MeV, MeV. The mass splittings
between , are predicted to be
MeV, which are significantly smaller than in several other studies.Comment: 13 page
Dielectron widths of the S-, D-vector bottomonium states
The dielectron widths of and vector decay
constants are calculated using the Relativistic String Hamiltonian with a
universal interaction. For the dielectron widths and
their ratios are obtained in full agreement with the latest CLEO data. For
and a good agreement with experiment is
reached only if the 4S--3D mixing (with a mixing angle ) and 6S--5D mixing (with ) are taken into
account. The possibility to observe higher "mixed -wave" resonances,
with is discussed. In particular,
, originating from the pure state,
can acquire a rather large dielectron width, eV, so that this
resonance may become manifest in the experiments. On the contrary, the
widths of pure -wave states are very small,
eV.Comment: 13 pages, no figure
Properties of mesons in Coulomb plus Power potential
The decay rates and spectroscopy of the mesons are
computed in non-relativistic phenomenological quark antiquark potential of the
type , (CPP) with different choices
. Numerical solution of the schrodinger equation has been used to obtain
the spectroscopy of mesons. The spin hyperfine, spin-orbit and
tensor components of the one gluon exchange interaction are employed to compute
the spectroscopy of the few lower and orbital excited states. The
numerically obtained radial solutions are employed to obtain the decay
constant, di-gamma and di-leptonic decay widths. The decay widths are
determined with and without radiative corrections. Present results are compared
with other potential model predictions as well as with the known experimental
values.Comment: 22 Pages, 1 Figur