I am a scientist and would like to send you for yo
Dear Professionals,
I am a scientist and would like to send you for your review
the enclosed article of me with one attached fig. I cannot reach review of the matter wen I submit my article in the casual journals.
Sincerely yours,
Daniel Mladenov Danailov, V, V, Jr., Jr.
1 (Given name) 2(Middle name) 3 (Family name)
Mobile: 412-708-3749
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\title{Glancing ion scattering from crystalline ion beam}
\author{Daniel M. Danailov\\
5435 Claybourne Street. Apt 401, Pittsburgh, Pennsylvania,
\\15232, U.S.A.\\phone 412-708-3749\\e-mail: dmd\[log in to unmask]
\maketitle
\abstract{In the article is proposed a method for testing of the
superstring theory via glancing particle scattering with a
crystalline beam.}
\normalsize
{\bf Outline}
Numerous studies of glancing ion scattering
from crystal surfaces have been performed to deduce the pair
screened Coulomb potentials [1]. This concept can be translated
to other situations where a regular array of atoms are present
such as in the radio frequency ion trap [2]. By analogy, it is
possible to perform experiments of glancing ion scattering from a
crystal ion beam, i. e. a beam, where the accelerated ions are
moving fast coherently in equidistant position forming a line.
Because of the very different times of approach to the crystalline
ion beam axis and the fast transit of the ion beam projectiles, an
averaged cylindrical interaction potential (1) is possible to be
constructed,
\begin{equation} \label{e:row} V_{row,12}(\rho) =
\frac{1}{d_{row}} \int\limits_{-\infty}^{+\infty} V_{12}\left(
\left[ x^{2} + \rho^{2} \right]^{1/2} \right) dx,
\end{equation}.
where $V_{12}$ is the pair interaction potential $x$ is the axis
of the glancing direction, $d_{row}$ is the distance between the
atoms in the row, $\rho$ is the distance of approach of the first
axe.
The slightly corrugated ion-crystal at the distance of approach,
can be replaced by 2D averaged cylindrical potential (figure
one) and in this manner the distance of closest approach of the
ion to the crystalline ion beam axis is surprisedly smaller with
this pair potential averaging. So it is possible artificially to
decrease the distance of closest approach as, for example, in the
proton-proton collisions in the Large Hadron Collider (LHC) [3].
In the LHC the nuclear forces should be considered by the same
averaging over crystalline row as for the coulomb interaction [1].
By averaging the potential over the crystalline axis of the beam
the dimension of the scattering is also lowered. For example the
space symmetry will correspond to 2D space realm + time or even
one less space dimension because the longitudinal axis is same as
time dimension. Let with this method mention that only one
integration of the pair interaction potential is used for
modelling with averaged potential of the scattering, so that the
scattering events are sensitive to the acting forces in the rest
2D or 1D directions. Let remember that the direction x in (1) must
be curved with the circle parameters of the LHC storage ring. This
correction is in order of the corrections for taking into account
of the relativistic effects.
{\bf Connection with experiments}
If the aim of the LHC is to seek to react at smaller distances
then the suggested glancing ion scattering from a crystalline ion
beam can be extended to glancing crystalline ion scattering on
another crystalline ion beam. For a complete theoretical
description at these energies, the LHC relativistic effects should
also be considered, but this is easily accomplished. If the
results of such experiments show 4D space-time realm (or 3D) this
will very strange and indication for rotation and additional
space-like dimensions as second $x$-axis. This must be tested with
experiments. Let mention that the proposed glancing scattering of
protons on crystalline proton beam significantly increase the time
of the interaction, witch is very small in values at the frontal
proton-proton scattering to observer effects of hidden dimensions
according the supperstring theory.
{\bf Expected outcome and conclusion}
The scattering of protons on crystalline proton beam will follow
in case of presence of parallel crystalline proton beam in
parallel to {$x$} dimension to multimodal rainbow spectra as shown
for different physical system in [1]. This is analogy to the
diffractions problems from two slits in the quantum mechanics. The
possible hidden rotation dimension will follow to tornado-like
eddies. In conclusion must be point that the direct collision of
proton on proton in LHC occurs for very short time and the variety
of effects with possible hidden dimensions can be observed at the
more extended in time and space proton - crystalline proton beam
scattering. We expect also channelling of the primary proton
particles between two or more proton beam line at splitting of the
accelerated beam line to the real line and the additional similar
proton line in the space of the one or more parallel dimensions.
{\bf References}
[1] Daniel M. Danailov, Angular spectra of rainbow scattering at glancing (15keV)
keV He+ bombardment of NiAl(100) surface with transverse energies in range 1-10 eV,
Nuclear Instruments and Methods in Physical Research B, Vol. 264, 2007, pp. 29-35.
[2] T. Sch\"atz, U. Schramm, D. Habs, Crystalline ion beams,
Letter to "Nature", Vol 412, 16 August, 2001, pp. 717-720.
[3] Lee Smolin, The trouble whit Physics, Rise of String Theory,
the Fall of Science and What Comes Next, Houghton Mifflin Company,
Boston, New York, 2006.
\newpage
{\bf Figure Caption}
Fig. 1 Very accurate interaction potentials and averaged over row
of atoms interaction potentials for events of ion-solid scattering
at glancing incidence (see [1]) in range of the very low energy.
Analogically to this case the averaged over crystalline beam line
with $d_{row}$ is approximately several thousand times longer than
solid state atomic lines (in fact for low indexed solid's
directions - this is the lattice constant). So the short ranged
nuclear forces and averaged nuclear forces can play role at ion
beam scattering from crystal beam at high energy beam experiments.
~
REM: to the Editor: Because of loss software on my personal
computer Fig. 1 is named Fig. 2 and I cannot renumerate now.
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