602 research outputs found
On P-wave meson decay constants in the heavy quark limit of QCD
In previous work it has been shown that, either from a sum rule for the
subleading Isgur-Wise function or from a combination of Uraltsev and
Bjorken SR, one infers for -wave states . This implies, in the heavy quark limit of QCD, a hierarchy
for the {\it production} rates of -states that seems at
present to be contradicted by experiment. It was also shown that the decay
constants of -states vanish in the heavy quark limit of
QCD, . Assuming the {\it model} of factorization in the
decays , one expects the opposite hierarchy for
the {\it emission} rates , since
-states are coupled to vacuum. Moreover, using Bjorken SR and previously
discovered SR involving heavy-light meson decay constants and IW functions, one
can prove that the sums ,
(where and
are the decay constants of -states and
-states) are divergent. This situation seems to be realized in the
relativistic quark models \`a la Bakamjian and Thomas, that satisfy HQET and
predict decays constants and that do not decrease
with the radial quantum number .Comment: 7 pages, Late
The Kalman-Tran-D'Souza Model and the Semileptonic Decay Rates of Heavy Baryons
We present an investigation of the inclusive semileptonic decay widths of the
heavy baryons Lambda_Q and Xi_Q, (Q=b,c) performed within a relativistic
constituent quark model, formulated on the light-front. In a way conceptually
similar to the deep-inelastic scattering case, the H_Q baryon inclusive width
is expressed as the integral of the free Q-quark partial width multiplied by a
bound-state factor related to the Q-quark distribution function in the H_Q. The
non-perturbative meson structure is described through the quark-model wave
functions, constructed via the Hamiltonian light-front formalism using as input
the Kalman-Tran-D'Souza equal time wave functions. A link between spectroscopic
quark models and the H_Q decay physics is obtained in this way. It is shown
that the bound-state effects and the Fermi motion of the b-quark remarkably
reduce the decay rate with respect to the free-quark result. Our predictions
for the BR(Lambda_c ->X_s e nu_e) and BR(Lambda_b->X_c e nu_e) decays are in
good agreement with existing data.Comment: 6 pages, latex, espcrc2.sty (included), 3 figures. The invited talk
presented by C.S.K. at the 4-th International Conference on Hyperons, Charm
and Beauty Hadrons, Valencia, June 27-30, 200
and
Recently Babar Collaboration reported a new state
and Belle Collaboration observed . We investigate the strong
decays of the excited states using the model. After
comparing the theoretical decay widths and decay patterns with the available
experimental data, we tend to conclude: (1) is probably the
state although the
assignment is not completely excluded; (2) seems unlikely to be
the and candidate; (3)
as either a or state is
consistent with the experimental data; (4) experimental search of
in the channels , , and
will be crucial to distinguish the above two possibilities.Comment: 18 pages, 7 figures, 2 tables. Some discussions added. The final
version to appear at EPJ
Sum rules in the heavy quark limit of QCD
In the leading order of the heavy quark expansion, we propose a method within
the OPE and the trace formalism, that allows to obtain, in a systematic way,
Bjorken-like sum rules for the derivatives of the elastic Isgur-Wise function
in terms of corresponding Isgur-Wise functions of transitions to
excited states. A key element is the consideration of the non-forward
amplitude, as introduced by Uraltsev. A simplifying feature of our method is to
consider currents aligned along the initial and final four-velocities. As an
illustration, we give a very simple derivation of Bjorken and Uraltsev sum
rules. On the other hand, we obtain a new class of sum rules that involve the
products of IW functions at zero recoil and IW functions at any . Special
care is given to the needed derivation of the projector on the polarization
tensors of particles of arbitrary integer spin. The new sum rules give further
information on the slope and also on the curvature
, and imply, modulo a very natural assumption, the
inequality , and therefore the absolute bound
.Comment: 64 pages, Late
Y(2175): Distinguish Hybrid State from Higher Quarkonium
The possibility of Y(2175) as a meson is studied. We
study the decay of from both the model and the
flux tube model, and the results are similar in the two models. We show that
the decay patterns of strangeonium hybrid and
are very different. The experimental search of the decay modes ,
, , is suggested to distinguish the two
pictures. Measuring the partial width ratios is crucial to
discriminate the from the assignment.Comment: 13 pages, 8 figure
Equation of state of strongly coupled Hamiltonian lattice QCD at finite density
We calculate the equation of state of strongly coupled Hamiltonian lattice
QCD at finite density by constructing a solution to the equation of motion
corresponding to an effective Hamiltonian using Wilson fermions. We find that
up to and beyond the chiral symmetry restoration density the pressure of the
quark Fermi sea can be negative indicating its mechanical instability. This
result is in qualitative agreement with continuum models and should be
verifiable by future numerical simulations.Comment: 14 pages, 2 EPS figures. Revised version - added discussion on the
equation of stat
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