58,467 research outputs found
Upsilon Production In pp Collisions For Forward Rapidities At LHC
This is a continuation of recent studies of production at the
LHC in pp collisions. Our previous studies were for rapidity y=-1 to 1 for the
CMS detector, while the present study is for y=2.5 to 4.0 at the LHC.Comment: 5 pages, 2 figure
Properties of an Alternate Lax Description of the KdV Hierarchy
We study systematically the Lax description of the KdV hierarchy in terms of
an operator which is the geometrical recursion operator. We formulate the Lax
equation for the -th flow, construct the Hamiltonians which lead to
commuting flows. In this formulation, the recursion relation between the
conserved quantities follows naturally. We give a simple and compact definition
of all the Hamiltonian structures of the theory which are related through a
power law.Comment: 11 pages, plain Te
Integrable Models and the Higher Dimensional Representations of Graded Lie Algebras
We construct a zero curvature formulation, in superspace, for the sTB-B
hierarchy which naturally reduces to the zero curvature condition in terms of
components, thus solving one of the puzzling features of this model. This
analysis, further, suggests a systematic method of constructing higher
dimensional representations for the zero curvature condition starting with the
fundamental representation. We illustrate this with the examples of the sTB
hierarchy and the sKdV hierarchy. This would be particularly useful in
constructing explicit higher dimensional representations of graded Lie
algebras.Comment: 13 pages, late
Improving LMA predictions with non-standard interactions: neutrino decay in solar matter?
It has been known for some time that the well established LMA solution to the
observed solar neutrino deficit fails to predict a flat energy spectrum for
SuperKamiokande as opposed to what the data indicates. It also leads to a
Chlorine rate which appears to be too high as compared to the data. We
investigate the possible solution to these inconsistencies with non standard
neutrino interactions, assuming that they come as extra contributions to the
and vertices that affect both the
propagation of neutrinos in the sun and their detection. We find that, among
the many possibilities for non standard couplings, only the diagonal imaginary
ones lead to a solution to the tension between the LMA predictions and the
data, implying neutrino instability in the solar matter. Unitarity requirements
further restrict the solution and a neutrino decay into an antineutrino and a
majoron within the sun is the one favoured. Antineutrino probability is however
too small to open the possibility of experimentally observing antineutrinos
from the sun due to NSI.Comment: 27 pages, 8 figures. Final version to be published in Physical Review
Supersymmetric Two Boson Equation, Its Reductions and the Nonstandard Supersymmetric KP Hierarchy
In this paper, we review various properties of the supersymmetric Two Boson
(sTB) system. We discuss the equation and its nonstandard Lax representation.
We construct the local conserved charges as well as the Hamiltoniam structures
of the system. We show how this system leads to various other known
supersymmetric integrable models under appropriate field redefinition. We
discuss the sTB and the supersymmetric nonlinear Schr\"odinger (sNLS) equations
as constrained, nonstandard supersymmetric Kadomtsev-Petviashvili (sKP) systems
and point out that the nonstandard sKP systems naturally unify all the KP and
mKP flows while leading to a new integrable supersymmetrization of the KP
equation. We construct the nonlocal conserved charges associated with the sTB
system and show that the algebra of charges corresponds to a graded, cubic
algebra. We also point out that the sTB system has a hidden supersymmetry
making it an extended supersymmetric system.Comment: 44 pages, plain Te
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