4,208 research outputs found
Chiral Symmetry and Scalars
The suggestion by Jaffe that if is a light state
then even the fundamental chiral transformation properties of the
becomes {\bf unclear}, has stimulated much interest. Adler pointed out
that in fact the seminal work on chiral symmetry via PCAC consistency, is
really quite consistent with the being predominantly
. This interpretation was actually backed by subsequent work
on effective Lagrangian methods for linear and non linear realizations. More
recent work of Achasov suggests that intermediate four-quark states determine
amplitudes involving other scalars and below 1 GeV,
and the report by Ning Wu that study on meson in continue to support a non with mass
as low as 390 MeV. It is also noted that more recent re-analysis of
scattering by S. Ishida {\em et al.} together with the work of the E791
Collaboration, support the existence of the scalar particle with
comparatively light mass as well.Comment: 4 pages, aipproc style file. Parallel session talk at Hadron
2001-Protvin
The Puzzle of J/\psi and \psi' Decays
The recent BES Collaboration data on \psi' \ra PV, particularly the isospin
violating mode \psi' \ra \pi^0 \omega^0 and finding of a finite number for
B(\psi' \ra K^{*0}\bar{K}^0), enable us now to deal more precisely about the
challenges to theory concerning this extraordinary and remarkable so called
Puzzle of and Decays. In terms of existing data,
and deploying the simplest phenomenology, measurement of \psi' \ra \pi^+\pi^-
and whether a finite number for the mode might require a
significantly larger accumulation of data, remain interesting questions.Comment: 9pages, added reference, typos, and very slight change in text, LATEX
forma
Aspects of Charmonium Physics
I review possible resolution of the
puzzle based on two inputs: the relative phase between the one- photon and the
gluonic decay amplitudes, and a possible hadronic excess in the inclusive
nonelectromagnetic decay rate of . The status of a universal
large phase here is examined for its meaning and implications (including those
for B-physics). Since the future of tau/charm facility(s) are again under
consideration together with a future anti-proton facility at GSI, I propose to
extend my review to include a broader discussion of charmonium physics.
Outstanding questions like the status of the state of charmonium,
measuring mixing and relative strong phases, status of
molecular P(S) - wave charmonia will also be discussed amongst others.Comment: 7 pages, aipproc style file. Plenary session talk at Hadron
2001-Protvin
Linearized Asymptotic Stability for Fractional Differential Equations
We prove the theorem of linearized asymptotic stability for fractional
differential equations. More precisely, we show that an equilibrium of a
nonlinear Caputo fractional differential equation is asymptotically stable if
its linearization at the equilibrium is asymptotically stable. As a consequence
we extend Lyapunov's first method to fractional differential equations by
proving that if the spectrum of the linearization is contained in the sector
\{\lambda \in \C : |\arg \lambda| > \frac{\alpha \pi}{2}\} where
denotes the order of the fractional differential equation, then the equilibrium
of the nonlinear fractional differential equation is asymptotically stable
A second-generation autologous chondrocyte implantation approach to the treatment of focal articular cartilage defects
Autologous chondrocyte implantation (ACI) is the most widely used cell-based surgical procedure for the repair of articular cartilage defects. Challenges to successful ACI outcomes include limitation in defect size and geometry as well as inefficient cell retention. Second-generation ACI procedures have thus focused on developing three-dimensional constructs using native and synthetic biomaterials. Clinically significant and satisfactory results from applying autologous chondrocytes seeded in fibrin within a biodegradable polymeric material were recently reported. In the future, third-generation cell-based articular cartilage repair should focus on the use of chondroprogenitor cells and biofunctionalized biomaterials for more extensive and permanent repair
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