We study the decay constants and form factors of the ground-state s-wave and low-lying p-wave mesons within a covariant light-front approach. Numerical results of the form factors for transitions between a heavy pseudoscalar meson and an s-wave or p-wave meson and their momentum dependence are presented in detail. In particular, form factors for heavy-to-light and B → D * * transitions, where D * * denotes generically a p-wave charmed meson, are compared with other model calculations. The experimental measurements of the decays B − → D * * π − and B → DD * * s are employed to test the decay constants of D * * s and the B → D * * transition form factors. The heavy quark limit behavior of the decay constants and form factors is examined and it is found that the requirement of heavy quark symmetry is satisfied. The universal Isgur-Wise (IW) functions, one for s-wave to s-wave and two for s-wave to p-wave transitions, are obtained. The values of IW functions at zero recoil and their slope parameters can be used to test the Bjorken and Uraltsev sum rules.
Within the light-front framework, form factors for P→ P and P→V transitions ͑P denotes a pseudoscalar meson, V a vector meson͒ due to the valence-quark configuration are calculated directly in the entire physical range of momentum transfer. The behavior of the form factors in the infinite quark mass limit are examined to see if the requirements of heavy-quark symmetry are satisfied. We find that the Bauer-Stech-Wirbel-type light-front wave function fails to give a correct normalization for the Isgur-Wise function at zero recoil in P→V transition. Some of the P→V form factors are found to depend on the recoiling direction of the daughter mesons relative to their parents. Thus the inclusion of the nonvalence contribution arising from quark-pair creation is mandatory in order to ensure that the physical form factors are independent of the recoiling direction. The main feature of the nonvalence contribution is discussed. ͓S0556-2821͑97͒06503-X͔
Assuming the two diquark structure for the pentaquark state as advocated in the Jaffe-Wilczek model, there exist exotic parity-even anti-sextet and parity-odd triplet heavy pentaquark baryons. The theoretical estimate of charmed and bottom pentaquark masses is quite controversial and it is not clear whether the ground-state heavy pentaquark lies above or below the strong-decay threshold. We study the weak transitions of heavy pentaquark states using the light-front quark model. In the heavy quark limit, heavy-to-heavy pentaquark transition form factors can be expressed in terms of three Isgur-Wise functions: two of them are found to be normalized to unity at zero recoil, while the third one is equal to 1/2 at the maximum momentum transfer, in accordance with the prediction of the large-N c approach or the quark model. Therefore, the light-front model calculations are consistent with the requirement of heavy quark symmetry. Numerical results for form factors and Isgur-Wise functions are presented. Decay rates of the weak decays Θ
The light-front approach is a relativistic quark model and offers many insights to the internal structures of the hadronic bound states. In this study, we apply the covariant light-front approach to ground-state heavy quarkonium. The pesudoscalar and vector meson decay constants are discussed. We present a detailed study of two-photon annihilation P → γγ and magnetic dipole transition V → P γ processes. The numerical predictions of the light-front approach are consistent with the experimental data and those in other approaches. The relations of the light-front approach with the other methods are discussed in brief.
We calculate the electromagnetic (EM) form fators of the pseudoscalar mesons in the light-front framework. Specially, these form factors are extracted from the relevant matrix elements directly, instead of choosing the Breit frame. The results show that the charge radius of the meson are related to both the first and second longitudinal momentum square derivative of the momentum distribution function. The static properties of the EM form factors and the heavy quark symmetry of the charge radii are checked analytically when we take the heavy quark limit. In addition, we use the Gaussia-type wave function to obtain the numerical results.
The-electronic excitations are studied for the AA-and AB-stacked bilayer graphites within the linear self-consistent-field approach. They are strongly affected by the stacking sequence, the interlayer atomic interactions, the interlayer Coulomb interactions, and the magnitude of the transferred momentum. However, they hardly depend on the direction of the transferred momentum and the temperature. There are three lowfrequency plasmon modes in the AA-stacked system but not the AB-stacked system. The AA-and AB-stacked plasmons exhibit the similar plasmons. The first low-frequency plasmon behaves as an acoustic plasmon, and the others belong to optical plasmons. The bilayer graphites quite differ from the monolayer graphite and the AB-stacked bulk graphite, such as the low-frequency plasmons and the small-momentum plasmons.
New models that describe gas flow behaviour in microtubes are presented. To
avoid time-consuming calculations in solving the integral equation which is obtained from the
microscopic point of view, the high-order slip-flow boundary condition is utilized to correct the gas
flow in such a micron or submicron spacing. The proposed model can be applied to arbitrary Knudsen
number conditions under the assumption that the bulk flow velocity is negligible compared with the
sonic velocity of the gas. The analytical solution of the pressure distribution for the first-order
slip-flow model is obtained. The results show that the first-order slip-flow model is in good
agreement with this model. The nonlinear pressure distribution is due to gas compressibility. The
dominant mechanism influencing the nonlinear pressure distribution comes from the rarefaction of
gas and the inlet pressure. The rarefaction effect increases the pressure drop at the inlet region of
the channel and decreases the pressure drop at the exit region of the channel. The decrease of inverse
Knudsen number changes the pressure distribution from concave to almost linear and increases the
mass flow.
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