20,673 research outputs found
Constant of step-by-step ionization of atoms
Constant of step by step ionization of atomic gase
On the determination of the earthquake slip distribution via linear programming techniques
The description that one can have of the seismic source is the mani-
festation of an imagined model, obviously outlined from Physic Theories
and supported by mathematical methods. In that context, the modelling
of earthquake rupture consists in finding values of the parameters of the
selected physics-mathematical model, through which it becomes possible
to reproduce numerically the records of earthquake effects on the Earths
surface. We present and test a Linear Programming (LP) inversion in dual
form, for reconstructing the kinematics of the rupture of large earthquakes
through space-time seismic slip distribution on finite faults planes
Neutrino Mass and New Physics
We review the present state of and future outlook for our understanding of
neutrino masses and mixings. We discuss what we think are the most important
perspectives on the plausible and natural scenarios for neutrinos and what may
have the most promise to throw light on the flavor problem of quarks and
leptons. We focus on the seesaw mechanism which fits into the big picture of
particle physics such as supersymmetry and grand unification providing a
unified approach to flavor problem of quarks and leptons. We argue that in
combination with family symmetries, this may be at the heart of a unified
understanding of flavor puzzle. We also discuss other new physics ideas such as
neutrinos in models with extra dimensions and possible theoretical implications
of sterile neutrinos. We outline some tests for the various schemes.Comment: 90 pages and 9 figures; With permission from the Annual Review of
Nuclear and Particle Science. Final version of this material is scheduled to
appear in the Annual Review of Nuclear and Particle Science Vol. 56, to be
published in November 2006 by Annual Reviews (http://www.annualreviews.org);
some references and parts of text update
Free field representation for the O(3) nonlinear sigma model and bootstrap fusion
The possibility of the application of the free field representation developed
by Lukyanov for massive integrable models is investigated in the context of the
O(3) sigma model. We use the bootstrap fusion procedure to construct a free
field representation for the O(3) Zamolodchikov- Faddeev algebra and to write
down a representation for the solutions of the form-factor equations which is
similar to the ones obtained previously for the sine-Gordon and SU(2) Thirring
models. We discuss also the possibility of developing further this
representation for the O(3) model and comment on the extension to other
integrable field theories.Comment: 14 pages, latex, revtex v3.0 macro package, no figures Accepted for
publication in Phys. Rev.
On orthogonal expansions of the space of vector functions which are square-summable over a given domain and the vector analysis operators
The Hilbert space L2(omega) of vector functions is studied. A breakdown of L2(omega) into orthogonal subspaces is discussed and the properties of the operators for projection onto these subspaces are investigated from the standpoint of preserving the differential properties of the vectors being projected. Finally, the properties of the operators are examined
Form-factors of the sausage model obtained with bootstrap fusion from sine-Gordon theory
We continue the investigation of massive integrable models by means of the
bootstrap fusion procedure, started in our previous work on O(3) nonlinear
sigma model. Using the analogy with SU(2) Thirring model and the O(3) nonlinear
sigma model we prove a similar relation between sine-Gordon theory and a
one-parameter deformation of the O(3) sigma model, the sausage model. This
allows us to write down a free field representation for the
Zamolodchikov-Faddeev algebra of the sausage model and to construct an integral
representation for the generating functions of form-factors in this theory. We
also clear up the origin of the singularities in the bootstrap construction and
the reason for the problem with the kinematical poles.Comment: 16 pages, revtex; references added, some typos corrected. Accepted
for publication in Physical Review
Track Reconstruction for Forward Spectrometer of SPES4-pi Experiment
Description of a 3-dimensional track reconstruction procedure applied for the 6-layer system of the drift chambers of the Forward Spectrometer of SPES4- experiment is given. The setup is characterized by low track multiplicity (one or a few tracks), a few random noise clusters per layer, and many ghost tracks. The procedure consists of pattern recognition and ghost pattern removal. The latter is done by optimization of insufficiency and redundancy of cluster occupation by the minimal necessary number of patterns
Asymptotic Bound-state Model for Feshbach Resonances
We present an Asymptotic Bound-state Model which can be used to accurately
describe all Feshbach resonance positions and widths in a two-body system. With
this model we determine the coupled bound states of a particular two-body
system. The model is based on analytic properties of the two-body Hamiltonian,
and on asymptotic properties of uncoupled bound states in the interaction
potentials. In its most simple version, the only necessary parameters are the
least bound state energies and actual potentials are not used. The complexity
of the model can be stepwise increased by introducing threshold effects,
multiple vibrational levels and additional potential parameters. The model is
extensively tested on the 6Li-40K system and additional calculations on the
40K-87Rb system are presented.Comment: 13 pages, 8 figure
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