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Crystallography 2018

Structural Chemistry & Crystallography Communication

ISSN: 2470-9905

Page 56

June 04-05, 2018

London, UK

3

rd

Edition of International Conference on

Advanced Spectroscopy,

Crystallography and Applications

in Modern Chemistry

T

he x-ray femtoscope measures dimensions and interactions

in the range of femtometers. In this way it detects interactions

at the boundary of the nuclear surface, and has even allowed

measuring the radii of protons on the nuclear surface and the

electrons of the K layer [1], [2]. To measure dimensions of the

order of the femtometers, it uses resonance and interference of

the x-rays with the nuclear surface, using only the K edge data, for

each of the elements of the periodic table 11 <Z <92. Because of

the non-invasive nature of low energy x-rays, we can measure a

minimal abnormality of the cross section or energy (k edge) on

the nuclear surface. For this reason, we can detect dark matter

or WIMPs, which interact and hide on the nuclear surface [3].

Fortunately, after studying these interactions with all the elements

of the periodic table, only three elements: Cr, Xe and Tm present

resonances. Dark matter (< (100±2) eV/c²) acts directly and

resonantly with the excess mass, energy and cross section of the

atomic nuclei of xenon, thulium and chromium, through the weak

force, which is represented by the solution of the Navier Stokes

equations [4].Thedarkmatter ishidden in thevicinityof thenuclear

surface (10⁻¹⁸m), it interacts modifying the effective sections and

the K edge energy [5]. We studied the total absorption of low

energy x-rays (<1.16MeV) for the elements of the periodic table

11≤Z≤90, with a precision of the order of the Rydberg constant,

and the radius of the neutron (0.842 (3) fm) using experimental

NIST data and GEANT4 simulation for (0.993(9) <R²<0.999(6))

[6]. Finally, it was proved theoretically and experimentally that the

weak force controls the circular trajectories of the nucleon layers

in the atomic nucleus, the interaction with dark matter and the

nuclear stability P (x, y, z)..

Figure 1. A:

Cross section excess measure presence of dark matter for

24Cr and 69Tm. B.-Evolution of nuclear stability P, depending on the ratio

of the cross sections. We obtained the probability P (x, y, z, t) which is the

fundamental solution of the Navier Stokes equations, measures the Nuclear

stability and represents both the behavior of the atomic nucleus in equilib-

rium and out of equilibrium such us gamma or beta decay C.- Calculation

of the Rydberg constant using Navier Stokes model. D.- Energy excess. For

54Xe, we can see the resonance in energy.

Recent Publications

1. Jimenez, Recalde, Jimenez Chacon (2017). Extraction of

the Proton and Electron Radii fromCharacteristic Atomic

Lines and Entropy Principles. Entropy 2017.

2. Pohl, R et al. (2010). The size of the proton. Nature 2010,

466, 213--216.

3. M. Markevitch, A. H. Gonzalez, D. Clowe et al (2004) :

DIRECT CONSTRAINTS ON THE DARK MATTER SELF-

INTERACTION CROSS SECTION FROM THE. MERGING

GALAXY CLUSTER 1E 0657 56. The Astrophysical

Journal, 606:819--824, (2004).

4. David Harvey F. Courbin J. P. Kneib et al. (2017) : A

detection of wobbling brightest cluster galaxies within

massive galaxy clusters. Monthly Notices of the Royal

Astronomical Society, Volume 472, Issue 2, 1 December

2017.

5. Masahiro Kawasaki, Kazunori Kohri and Takeo Moroi

(2018): Revisiting big-bang nucleosynthesis constraints

on long-lived decaying particles, PHYSICAL REVIEW D

97, 023502 (2018)

6. E. Aprile et al. (2017) : Search for bosonic super-WIMP

interactions with the XENON100 experiment,. (XENON

Collaboration), Phys. Rev. D 96, 122002, (2017).

THE X-RAY FEMTOSCOPE ALLOWS US TO MEASURE THE INTERACTION

BETWEEN DARK MATTER AND THE ATOMIC NUCLEI OF CR, XU AND TM

Edward Jimenez

Central University, Ecuador

Edward Jimenez, Struct Chem Crystallogr Commun 2018, Volume 4

DOI: 10.21767/2470-9905-C1-006