9,224 research outputs found
First application of the continuum-QRPA to description of the double beta decay
A continuum-QRPA approach to calculation of the - and
-amplitudes has been formulated. For Te a regular
suppression (about 20%) of the high-multipole contributions to the
-amplitude has been found which can be associated with
additional ground state correlations appearing from the transitions to
collective states in the continuum. At the same time the total calculated
-amplitude for Te gets suppressed by about 20% as
compared to the result of the usual, discretized, QRPA.Comment: 8 pages, 2 figures. Proceedings of the 27th Int. School on Nuclear
Physics "Neutrinos in Cosmology, in Astro, Particle and Nuclear Physics",
Erice, Italy, Sept. 16-24, 2005. To appear in Prog.Part.Nucl.Phy
Electromagnetic transitions between giant resonances within a continuum-RPA approach
A general continuum-RPA approach is developed to describe electromagnetic
transitions between giant resonances. Using a diagrammatic representation for
the three-point Green's function, an expression for the transition amplitude is
derived which allows one to incorporate effects of mixing of single and double
giant resonances as well as to take the entire basis of particle-hole states
into consideration. The radiative widths for E1 transition between the
charge-exchange spin-dipole giant resonance and Gamow-Teller states are
calculated for ^{90}Nb and ^{208}Bi nuclei. The importance of the mixing is
stressed.Comment: 10 pages, 2 figures, uses elsart.st
Doing and Showing
The persisting gap between the formal and the informal mathematics is due to
an inadequate notion of mathematical theory behind the current formalization
techniques. I mean the (informal) notion of axiomatic theory according to which
a mathematical theory consists of a set of axioms and further theorems deduced
from these axioms according to certain rules of logical inference. Thus the
usual notion of axiomatic method is inadequate and needs a replacement.Comment: 54 pages, 2 figure
On Constructive Axiomatic Method
In this last version of the paper one may find a critical overview of some
recent philosophical literature on Axiomatic Method and Genetic Method.Comment: 25 pages, no figure
Did Lobachevsky Have A Model Of His "imaginary Geometry"?
The invention of non-Euclidean geometries is often seen through the optics of
Hilbertian formal axiomatic method developed later in the 19th century. However
such an anachronistic approach fails to provide a sound reading of
Lobachevsky's geometrical works. Although the modern notion of model of a given
theory has a counterpart in Lobachevsky's writings its role in Lobachevsky's
geometrical theory turns to be very unusual. Lobachevsky doesn't consider
various models of Hyperbolic geometry, as the modern reader would expect, but
uses a non-standard model of Euclidean plane (as a particular surface in the
Hyperbolic 3-space). In this paper I consider this Lobachevsky's construction,
and show how it can be better analyzed within an alternative non-Hilbertian
foundational framework, which relates the history of geometry of the 19th
century to some recent developments in the field.Comment: 31 pages, 8 figure
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