1,863 research outputs found
Interior estimates of derivatives and a Liouville type theorem for Parabolic -Hessian equations
In this paper, we establish the gradient and Pogorelov estimates for
-convex-monotone solutions to parabolic -Hessian equations of the form
. We also apply such estimates to
obtain a Liouville type result, which states that any -convex-monotone and
solution to in
must be a linear function of plus a
quadratic polynomial of , under some growth assumptions on .Comment: 14 page
Decays of and into vector and pseudoscalar meson and the pseudoscalar glueball- mixing
We introduce a parametrization scheme for where
the effects of SU(3) flavor symmetry breaking and doubly OZI-rule violation
(DOZI) can be parametrized by certain parameters with explicit physical
interpretations. This scheme can be used to clarify the glueball-
mixing within the pseudoscalar mesons. We also include the contributions from
the electromagnetic (EM) decays of and via
. Via study of the isospin violated
channels, such as , ,
and , reasonable constraints on the EM decay
contributions are obtained. With the up-to-date experimental data for
, and , etc, we arrive at a consistent description of the mentioned
processes with a minimal set of parameters. As a consequence, we find that
there exists an overall suppression of the form factors,
which sheds some light on the long-standing " puzzle". By determining
the glueball components inside the pseudoscalar and in
three different glueball- mixing schemes, we deduce that the lowest
pseudoscalar glueball, if exists, has rather small component, and it
makes the a preferable candidate for glueball.Comment: Revised version to appear on J. Phys. G; An error in the code was
corrected. There's slight change to the numerical results, while the
conclusion is intac
Approximate Solution of the effective mass Klein-Gordon Equation for the Hulthen Potential with any Angular Momentum
The radial part of the effective mass Klein-Gordon equation for the Hulthen
potential is solved by making an approximation to the centrifugal potential.
The Nikiforov-Uvarov method is used in the calculations. Energy spectra and the
corresponding eigenfunctions are computed. Results are also given for the case
of constant mass.Comment: 12 page
Vortex dynamics of a -wave superconductor
The vortex dynamics of a d+is-wave superconductor is studied numerically by
simulating the time-dependent Ginzburg-Landau equations. The critical fields,
the free flux flow, and the flux flow in the presence of twin-boundaries are
discussed. The relaxation rate of the order parameter turns out to play an
important role in the flux flow. We also address briefly the intrinsic Hall
effect in d- and d+is-wave superconductors.Comment: 5 pages, 5 figure
Quantization rule solution to the Hulth\'en potential in arbitrary dimension by a new approximate scheme for the centrifugal term
The bound state energies and wave functions for a particle exposed to the
Hulth\'en potential field in the D-dimensional space are obtained within the
improved quantization rule for any arbitrary l state. The present approximation
scheme used to deal with the centrifugal term in the effective Hulth\'en
potential is systematic and accurate. The solutions for the three-dimensional
(D=3) case and the s-wave (l=0) case are briefly discussed.
Keywords: Hulth\'en potential, improved quantization rule, approximation
schemes.
03.65.Ge, 12.39.JhComment: 15 pages. arXiv admin note: substantial text overlap with
arXiv:1009.508
A Note on Temperature and Energy of 4-dimensional Black Holes from Entropic Force
We investigate the temperature and energy on holographic screens for
4-dimensional black holes with the entropic force idea proposed by Verlinde. We
find that the "Unruh-Verlinde temperature" is equal to the Hawking temperature
on the horizon and can be considered as a generalized Hawking temperature on
the holographic screen outside the horizons. The energy on the holographic
screen is not the black hole mass but the reduced mass , which is
related to the black hole parameters. With the replacement of the black hole
mass by the reduced mass , the entropic force can be written as
, which could be tested by experiments.Comment: V4: 13 pages, 4 figures, title changed, discussions for experiments
added, accepted by CQ
Quark model approach to the meson electroproduction on the proton
A recently developed quark model approach to pseudoscalar meson
photoproduction is extended to electroproduction process for the meson
in the kinematics of momentum transfer 4 (GeV/c) and total
center of mass energy 1.6 GeV. Existing data are well reproduced and
the roles of the and resonances are closely
investigated. In the study of the longitudinal excitation of the
resonance, a reliable constraint on the properties is obtained
by cleanly removing the electromagnetic transition from the amplitude. Thus, the fitted quantities can be
determined with an uncertainty of about 15%. This could be the first direct
constraint on the properties in theory.Comment: 31 pages, 9 figures; Substantially modified version, to appear on
Jour. of Phys.
Energy-momentum for Randall-Sundrum models
We investigate the conservation law of energy-momentum for Randall-Sundrum
models by the general displacement transform. The energy-momentum current has a
superpotential and are therefore identically conserved. It is shown that for
Randall-Sundrum solution, the momentum vanishes and most of the bulk energy is
localized near the Planck brane. The energy density is .Comment: 13 pages, no figures, v4: introduction and new conclusion added, v5:
11 pages, title changed and references added, accepted by Mod. Phys. Lett.
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