12,311 research outputs found
The analysis of the charmonium-like states ,, , and according to its strong decay behaviors
Inspired by the newly observed state , we analyze the strong
decay behaviors of some charmonium-like states ,,
, and by the model. We carry out our
work based on the hypothesis that these states are all being the charmonium
systems. Our analysis indicates that charmonium state can be a good
candidate for and state is the possible assignment for
. Considering as the state, the decay behavior of
is inconsistent with the experimental data. So, we can not assign
as the charmonium state by present work. Besides, our
analysis imply that it is reasonable to assign and to be
the same state, . However, combining our analysis with that of
Zhou~\cite{ZhouZY}, we speculate that / might not be a pure
systems
Fine gradings of complex simple Lie algebras and Finite Root Systems
A -grading on a complex semisimple Lie algebra , where is a finite
abelian group, is called quasi-good if each homogeneous component is
1-dimensional and 0 is not in the support of the grading.
Analogous to classical root systems, we define a finite root system to be
some subset of a finite symplectic abelian group satisfying certain axioms.
There always corresponds to a semisimple Lie algebra together with a
quasi-good grading on it. Thus one can construct nice basis of by means
of finite root systems.
We classify finite maximal abelian subgroups in \Aut(L) for complex
simple Lie algebras such that the grading induced by the action of on
is quasi-good, and show that the set of roots of in is always a
finite root system. There are five series of such finite maximal abelian
subgroups, which occur only if is a classical simple Lie algebra
Thermodynamics of the Schwarzschild-AdS black hole with a minimal length
Using the mass-smeared scheme of black holes, we study the thermodynamics of
black holes. Two interesting models are considered. One is the self-regular
Schwarzschild-AdS black hole whose mass density is given by the analogue to
probability densities of quantum hydrogen atoms. The other model is the same
black hole but whose mass density is chosen to be a rational fractional
function of radial coordinates. Both mass densities are in fact analytic
expressions of the -function. We analyze the phase structures of the
two models by investigating the heat capacity at constant pressure and the
Gibbs free energy in an isothermal-isobaric ensemble. Both models fail to decay
into the pure thermal radiation even with the positive Gibbs free energy due to
the existence of a minimal length. Furthermore, we extend our analysis to a
general mass-smeared form that is also associated with the -function,
and indicate the similar thermodynamic properties for various possible
mass-smeared forms based on the -function.Comment: v1: 25 pages, 14 figures; v2: 26 pages, 15 figures; v3: minor
revisions, final version to appear in Adv. High Energy Phy
Strong coupling constants and radiative decays of the heavy tensor mesons
In this article, we analyze tensor-vector-pseudoscalar(TVP) type of vertices
, , ,
, , ,
, , and
, in the frame work of three point QCD sum rules.
According to these analysis, we calculate their strong form factors which are
used to fit into analytical functions of . Then, we obtain the strong
coupling constants by extrapolating these strong form factors into deep
time-like regions. As an application of this work, the coupling constants for
radiative decays of these heavy tensor mesons are also calculated at the point
of . With these coupling constants, we finally calculate the radiative
decay widths of these tensor mesons.Comment: arXiv admin note: text overlap with arXiv:1810.0597
Analysis of the strong coupling form factors of and in QCD sum rules
In this article, we study the strong interaction of the vertexes
and using the three-point QCD sum rules under two different dirac
structures. Considering the contributions of the vacuum condensates up to
dimension in the operation product expansion, the form factors of these
vertexes are calculated. Then, we fit the form factors into analytical
functions and extrapolate them into time-like regions, which giving the
coupling constant. Our analysis indicates that the coupling constant for these
two vertexes are and
.Comment: 6 figure
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