298 research outputs found
Implications of the Crystal Barrel data for meson-baryon symmetries
Making use of numerous resonances discovered by the Crystal Barrel
Collaboration we discuss some possible relations between the baryon and meson
spectra of resonances composed of the light non-strange quarks. Our goal is to
indicate new features that should be reproduced by the realistic dynamical
models describing the hadron spectrum in the sector of light quarks.Comment: Completely modified version; to appear in Mod. Phys. Lett.
Form Factors of Composite Systems by Generalized Wigner-Eckart Theorem for Poincar\'e group
The relativistic approach to electroweak properties of two-particle composite
systems developed previously is generalized here to the case of nonzero spin.
This approach is based on the instant form of relativistic Hamiltonian
dynamics. A special mathematical technique is used for the parametrization of
matrix elements of electroweak current operators in terms of form factors. The
parametrization is a realization of the generalized Wigner--Eckart theorem on
the Poincar\'e group, form factors are corresponding reduced matrix elements
and they have the sense of distributions (generalized functions). The
electroweak current matrix element satisfies the relativistic covariance
conditions and in the case of electromagnetic current it also automatically
satisfies the conservation law.Comment: Submitted to Theor. Math. Phy
Lagrangian for the Majorana-Ahluwalia Construct
The equations describing self/anti-self charge conjugate states, recently
proposed by Ahluwalia, are re-written to covariant form. The corresponding
Lagrangian for the neutral particle theory is proposed. From a
group-theoretical viewpoint the construct is an example of the
Nigam-Foldy-Bargmann-Wightman-Wigner-type quantum field theory based on the
doubled representations of the extended Lorentz group. Relations with the
Sachs-Schwebel and Ziino-Barut concepts of relativistic quantum theory are
discussed.Comment: 10pp., REVTeX 3.0 fil
Interactions of a boson in the component theory
The amplitudes for boson-boson and fermion-boson interactions are calculated
in the second order of perturbation theory in the Lobachevsky space. An
essential ingredient of the used model is the Weinberg's component
formalism for describing a particle of spin , recently developed
substantially. The boson-boson amplitude is then compared with the two-fermion
amplitude obtained long ago by Skachkov on the ground of the hamiltonian
formulation of quantum field theory on the mass hyperboloid, , proposed by Kadyshevsky. The parametrization of the amplitudes by
means of the momentum transfer in the Lobachevsky space leads to same spin
structures in the expressions of matrices for the fermion and the boson
cases. However, certain differences are found. Possible physical applications
are discussed.Comment: REVTeX 3.0 file. 12pp. Substantially revised version of IFUNAM
preprints FT-93-24, FT-93-3
On the Strength of the Carbon Nanotube-Based Space Elevator Cable: From Nano- to Mega-Mechanics
In this paper different deterministic and statistical models, based on new
quantized theories proposed by the author, are presented to estimate the
strength of a real, thus defective, space elevator cable. The cable, of ~100
megameters in length, is composed by carbon nanotubes, ~100 nanometers long:
thus, its design involves from the nano- to the mega-mechanics. The predicted
strengths are extensively compared with the experiments and the atomistic
simulations on carbon nanotubes available in the literature. All these
approaches unequivocally suggest that the megacable strength will be reduced by
a factor at least of ~70% with respect to the theoretical nanotube strength,
today (erroneously) assumed in the cable design. The reason is the unavoidable
presence of defects in a so huge cable. Preliminary in silicon tensile
experiments confirm the same finding. The deduced strength reduction is
sufficient to pose in doubt the effective realization of the space elevator,
that if built as today designed will surely break (according to the s opinion).
The mechanics of the cable is also revised and possibly damage sources
discussed
Transition probabilities for general birth-death processes with applications in ecology, genetics, and evolution
A birth-death process is a continuous-time Markov chain that counts the
number of particles in a system over time. In the general process with
current particles, a new particle is born with instantaneous rate
and a particle dies with instantaneous rate . Currently no robust and
efficient method exists to evaluate the finite-time transition probabilities in
a general birth-death process with arbitrary birth and death rates. In this
paper, we first revisit the theory of continued fractions to obtain expressions
for the Laplace transforms of these transition probabilities and make explicit
an important derivation connecting transition probabilities and continued
fractions. We then develop an efficient algorithm for computing these
probabilities that analyzes the error associated with approximations in the
method. We demonstrate that this error-controlled method agrees with known
solutions and outperforms previous approaches to computing these probabilities.
Finally, we apply our novel method to several important problems in ecology,
evolution, and genetics
Neutral Particles in Light of the Majorana-Ahluwalia Ideas
The first part of this article (Sections I and II) presents oneself an
overview of theory and phenomenology of truly neutral particles based on the
papers of Majorana, Racah, Furry, McLennan and Case. The recent development of
the construct, undertaken by Ahluwalia [{\it Mod. Phys. Lett. A}{\bf 9} (1994)
439; {\it Acta Phys. Polon. B}{\bf 25} (1994) 1267; Preprints LANL
LA-UR-94-1252, LA-UR-94-3118], could be relevant for explanation of the present
experimental situation in neutrino physics and astrophysics.
In Section III the new fundamental wave equations for self/anti-self
conjugate type-II spinors, proposed by Ahluwalia, are re-casted to covariant
form. The connection with the Foldy-Nigam-Bargmann-Wightman- Wigner (FNBWW)
type quantum field theory is found. The possible applications to the problem of
neutrino oscillations are discussed.Comment: REVTEX file. 21pp. No figure
Thermal Fields, Entropy, and Black Holes
In this review we describe statistical mechanics of quantum systems in the
presence of a Killing horizon and compare statistical-mechanical and one-loop
contributions to black hole entropy. Studying these questions was motivated by
attempts to explain the entropy of black holes as a statistical-mechanical
entropy of quantum fields propagating near the black hole horizon. We provide
an introduction to this field of research and review its results. In
particular, we discuss the relation between the statistical-mechanical entropy
of quantum fields and the Bekenstein-Hawking entropy in the standard scheme
with renormalization of gravitational coupling constants and in the theories of
induced gravity.Comment: 44 pages, LaTeX fil
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