1,612 research outputs found
A Pedestrian Introduction to Gamow Vectors
The Gamow vector description of resonances is compared with the S-matrix and
the Green function descriptions using the example of the square barrier
potential. By imposing different boundary conditions on the time independent
Schrodinger equation, we obtain either eigenvectors corresponding to real
eigenvalues and the physical spectrum or eigenvectors corresponding to complex
eigenvalues (Gamow vectors) and the resonance spectrum. We show that the poles
of the S matrix are the same as the poles of the Green function and are the
complex eigenvalues of the Schrodinger equation subject to a purely outgoing
boundary condition. The intrinsic time asymmetry of the purely outgoing
boundary condition is discussed. Finally, we show that the probability of
detecting the decay within a shell around the origin of the decaying state
follows an exponential law if the Gamow vector (resonance) contribution to this
probability is the only contribution that is taken into account.Comment: 25 RevTex pages, 3 figure
Improved limits on photon velocity oscillations
The mixing of the photon with a hypothetical sterile paraphotonic state would
have consequences on the cosmological propagation of photons. The absence of
distortions in the optical spectrum of distant Type Ia supernov\ae allows to
extend by two orders of magnitude the previous limit on the Lorentz-violating
parameter associated to the photon-paraphoton transition, extracted
from the abscence of distortions in the spectrum of the cosmic microwave
background. The new limit is consistent with the interpretation of the dimming
of distant Type Ia supernov\ae as a consequence of a nonzero cosmological
constant. Observations of gamma-rays from active galactic nuclei allow to
further extend the limit on by ten orders of magnitude.Comment: 10 pages, 4 Postscript figures, use epsfig, amssym
Highlights of the SLD Physics Program at the SLAC Linear Collider
Starting in 1989, and continuing through the 1990s, high-energy physics
witnessed a flowering of precision measurements in general and tests of the
standard model in particular, led by e+e- collider experiments operating at the
Z0 resonance. Key contributions to this work came from the SLD collaboration at
the SLAC Linear Collider. By exploiting the unique capabilities of this
pioneering accelerator and the SLD detector, including a polarized electron
beam, exceptionally small beam dimensions, and a CCD pixel vertex detector, SLD
produced a broad array of electroweak, heavy-flavor, and QCD measurements. Many
of these results are one of a kind or represent the world's standard in
precision. This article reviews the highlights of the SLD physics program, with
an eye toward associated advances in experimental technique, and the
contribution of these measurements to our dramatically improved present
understanding of the standard model and its possible extensions.Comment: To appear in 2001 Annual Review of Nuclear and Particle Science; 78
pages, 31 figures; A version with higher resolution figures can be seen at
http://www.slac.stanford.edu/pubs/slacpubs/8000/slac-pub-8985.html; Second
version incorporates minor changes to the tex
Structure and texture of the quark mass matrix
Starting from a weak basis in which the up (or down) quark matrix is
diagonal, we obtain an exact set of equations for the quark mass matrix
elements in terms of known observables. We make a numerical analysis of the
down (up) quark mass matrix. Using the data available for the quark masses and
mixing angles at different energy scales, we found a numerical expression for
these matrices. We suggest that it is not possible to have an specific texture
from this analysis. We also examine the most general case when the complex
phases are introduced in the mass matrix. We find the numerical value for these
phases as a function of , the CP-violationg phase.Comment: 7 pages, we use the macros of Elsevie
On universality of the coupling of neutrinos to Z
We employ an effective Lagrangian approach and use LEP data to place severe
bounds on universality violations of the couplings of , , and
to the boson. Our results justify the assumption of universality
in these couplings that is usually made, as for example in the analysis of
solar neutrinos detected at SNO.Comment: 8 pages, no figures. A few comments added. It matches version to be
published in PR
Charmless B Decays to Final States with Radially Excited Vector Mesons
We consider the weak decays of a B meson to final states that contain a
S-wave radially excited vector meson. We consider vector-pseudoscalar final
states and calculate ratios of the type , and where , and
are higher , and S-wave radial
excitations. We find such decays to have larger or similar branching ratios
compared to decays where the final state , and are in the
ground state. We also study the effect of radial mixing in the vector system
generated from hyperfine interaction and the annihilation term.Comment: Latex, 12 pages, one figur
Prediction of charm-production fractions in neutrino interactions
The way a charm-quark fragments into a charmed hadron is a challenging
problem both for the theoretical and the experimental particle physics.
Moreover, in neutrino induced charm-production, peculiar processes occur such
as quasi-elastic and diffractive charm-production which make the results from
other experiments not directly comparable. We present here a method to extract
the charmed fractions in neutrino induced events by using results from
, , experiments while taking into account the
peculiarities of charm-production in neutrino interactions. As results, we
predict the fragmentation functions as a function of the neutrino energy and
the semi-muonic branching ratio, , and compare them with the available
data
Possible Indication of Narrow Baryonic Resonances Produced in the 1720-1790 MeV Mass Region
Signals of two narrow structures at M=1747 MeV and 1772 MeV were observed in
the invariant masses M_{pX} and M_{\pi^{+}X} of the pp->ppX and pp->p\pi^{+}X
reactions respectively. Many tests were made to see if these structures could
have been produced by experimental artefacts. Their small widths and the
stability of the extracted masses lead us to conclude that these structures are
genuine and may correspond to new exotic baryons. Several attempts to identify
them, including the possible "missing baryons" approach, are discussed.Comment: 17 pages including 8 figures and 3 tables. ReVte
Watson's theorem and electromagnetism in K -> pi pi decay
We consider what constraints unitarity and CPT invariance yield on the strong
and electromagnetic phases entering K -> pi pi decay. In particular, we show
that the relative size of the electromagnetically-induced changes in the I=0
and I=2 phase shifts in the two--pion final state do not depend on the explicit
coupling to the pi^+ pi^- gamma channel. This demonstrates that Watson's
theorem can be extended to include the presence of electromagnetism. We point
out the consequences for the general structure of the K -> pi pi decay
amplitudes in the presence of isospin violation.Comment: 7 pages, LaTeX, axodraw.st
Split Fermions in Extra Dimensions and CP Violation
We discuss CP violation in the quark sector within a novel approach to the
Yukawa puzzle proposed by Arkani-Hamed and Schmaltz, where Yukawa hierarchies
result from localising the Standard Model quark field wave-functions, at
different positions (in the extra dimensions) in a ``fat-brane.'' We show that
at least two extra dimensions are necessary in order to obtain sufficient CP
violation while reproducing the correct quark mass spectrum and mixing angles.Comment: 11 pages, 3 eps figures, references added, results unchange
- âŠ