
Preprints and Communications
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2018 

P4201861 (123.018)
Pupyshev V. V.
Bohr—Zommerfeld Quatization Rule in the Case of Decreasing Power Potential
We study the finite threedimensional movement of a quantum particle in the field of the potential
V(r) = –V_{0}r^{–α} with
the parameters V_{0} > 0 and α ∈ (0,2). We analyse the asymptotic equation which is equivalent to the Bohr–Zommerfeld
quantization rule. As a result, we derive a simple and explicit approximation for the energies of weakly bound states of this
particle.

P4201859 (330.839)
Pupyshev V. V.
TwoDimensional Movement of a Slow Quantum Particle in the Field of a Central LongRange Potential
We study the twodimensional movement of a slow quantum
particle in the field of a central longrange potential decreasing
in the limit of large distances r as a power function r^{–β}
with the exponent β ∈ (1,2). For this particle, we found the
lowenergy asymptotics of the phaseshifts and differential
crosssection, as well as a simple approximation for the energies
of weakly bound states.

P13201857 (184.450)
Yu.A.Vaganov, D.Maczka, K.Pyszniak, A.Drozdziel
Simulation of Ionization in the Ion Source with a Hot ConeShaped Hollow
A numerical model of ionization in the hot blunted coneshaped hollow is presented. The influence of the hollow geometry,
namely, the height and upper base radius, on the ionization efficiency was investigated. It is found that for the ionization
of stable isotopes the elongated hollow is more appropriate, while for the ionization of shortlived isotopes it is
preferable to use the shortened hollow. The dependence of the ionization efficiency on the extraction opening radius
and wall thickness was determined. The current–voltage curves for different ion source configurations are discussed.

E13201855 (553.481)
Dunin N. et al.
Fire Extinguishing System Development for the Slow Control System of the
TOFMPD
Human safety is considered a priority in modern society. No matter where
people are, at home or at work, they must feel confident and secure. To
ensure that, a fire protection system that would immediately send
information to safety equipment is required. Therefore, one of the main
functionalities is a design that would operate with alarm, fire
extinguishing devices and data acquisition software. Modern fire alarm and
fire fighting systems have been considered during the process.

P9201852 (298.319)
Melnikov S. A., Meshkov I. N.
Investigation of Stability of Motion of Charged Particles in the LEPTA Storage Ring
Analytically calculated matrices of the optical conversion of the elements of the focusing system of the Low Energy Particle
Toroidal Accumulator (LEPTA) and the longitudinal magnetic field perturbations appearing in the technical connections
of the ring elements are presented. On the basis of the data of the matrices, a program was written that makes it possible
to model the multirotation dynamics of particles in a ring and thereby investigate the stability of their motion.

P19201848 (253.638)
Krasavin E. A. et al.
The Influence of DNA Synthesis Inhibitors on the Biological Efficiency
of the Modified Bragg Peak Proton Beam
The effect of inhibitors of DNA synthesis of 1βDarabinofuranosylcytosine (AraC) and hydroxyurea (HU),
the medicaments used in an oncological clinic, on the formation of doublestrand breaks (DSB) of DNA in human cells
when irradiated with protons in the Bragg peak was studied. It is shown that in the presence of AraC and HU,
the biological efficiency of proton irradiation, estimated by the kinetics of γH2AX/53BP1 foci formation,
increases sharply in the postradiation period. This is due to the formation of enzymatic DSB from longtime unrepairable
singlestrand DNA breaks. Application of the proposed method, leading to an increase in the biological efficiency of proton beams,
significantly brings together the areas of use of proton and carbon accelerators for therapeutic purposes.

P13201847 (1.744.253)
Azaryan N. et al.
The Minimization of the Long Term Noises of the 24Bit ADC for the
Precision Laser Inclinometer
The daylong noises of the 24bit ADC DT9824 and DT9828 in the laboratory
room conditions and in the thermostabilized and radio isolated laboratory
and the noises dependence on the single measurement duration have been
researched.
The ADC resolution in the temperature
stabilized and radio isolated conditions was improved significantly,
by a factor of 240. The ADC's relative
resolutions have been measured for a daylong period: 3 · 10^{–7}
for DT9824 with 0.79 s for one measurement and 2 · 10^{–7}
for DT9828 with one measurement duration of 0.10 s.
The innovative methods for accounting of the ADC noise temperature
variations were proposed and developed based on subtracting of one ADC
channel data from remaining ones. This method application resulted in the
improvement of the RMS values of an ADC relative resolution: by a factor
of 13 for DT9824 and by a factor of 6 for DT9828.


E11201843 (178.602)
Török Cs.
Speedup of Interpolating Spline Construction
The article introduces an efficient sequential algorithm
for computing spline coefficients.
The aim is to decrease the computational time.
A reducedsize tridiagonal system of linear equations is constructed
based on a recently derived relation for the unknown coefficients
of uniform cubic splines of class C^{2} at the odd grid points.
The even coefficients are computed from an explicit formula.
Thanks to the halfsize system and use of a simple formula,
the suggested new sequential algorithm needs less
division than the traditional one
and it results in a nonnegligible computational speedup.
Finally, a general approach to dyadic reduction of the dimensionality
of tridiagonal linear systems is proposed in consequence of which the size
of the systems gradually shrinks to half, quarter, etc.

P13201840 (1.502.736)
Vinogradov A. V. et al.
HighFlux Pulsed Neutron Source Driven by a Proton Accelerator for Beam Research
Parameters of the most optimal variant of a highflux pulsed neutron source
(fourthgeneration neutron source in Dubna), which is foreseen to replace the linebreak IBR2M
reactor in the future, are considered. The source is based on a booster with a plutonium dioxide core
(multiplication factor of no more than 0.98) and a tungsten target. The source is driven by a proton accelerator with an energy of 1.2
GeV and beam power of 0.1 MW. The power of the source is 8 MW, pulse repetition rate is 30 s^{–1}.
The possibility of obtaining the average thermal neutron flux density on the surface of a flat water moderator up to 2 · 10^{14} ñì^{–2} · ñ^{–1} is demonstrated.

E13201837 (434.371)
Bielewicz M. et al.
MCORD — MPD Cosmic Ray Detector for NICA
The MultiPurpose Detector (MPD) is a part of the Nuclotronbased Ion Collider
fAcility (NICA) located in Dubna, Russia. For full functionality, the MPD
needs an additional trigger system for offbeam calibration of MPD
subdetectors and for rejection of cosmic ray particles (mainly muons). The
system could also be useful for astrophysics observations of cosmic showers
initiated by high energy primary particles. The consortium NICAPL composed
of several Polish scientific institutions has been formed to define goals
and basic assumptions for MPD Cosmic Ray Detector (MCORD). This article
describes the early stage design of the MCORD detector based on plastic
scintillators with silicon photomultiplier photodetectors for scintillation
readout and of the electronic system based on MicroTCA crate. Plans for simulations
of MCORD detector performance are also presented.

P16201836 (569.506)
Mokrov Yu. V. et al.
The Correction of Albedo Dosimeter DVGN01 Readings in Medical Beam Cabin by Various Methods
The paper presents the results of correction of albedo dosimeters DVGN01 readings in the
medical beam cabin at the LNP phasotron by various methods. A beam of 170 MeV protons was stopped
in a tissueequivalent phantom placed in the patient's chair. Using a multisphere spectrometer,
the neutron spectrum was measured near the chair, and measurements were made with the spherical
albedo system at the place of the neutron spectrum measurement and near the cabin wall.
Based on the neutron spectrum and the spherical albedo system readings, correction coefficients
were calculated for DVGN01 in two geometries — isotropic and anteroposterior for the individual
dose equivalent and effective dose of neutrons. Recommended values of correction coefficients for use in individual
dosimetric control of persons accompanying patients in the cabin of a medical beam are presented.

E13201830 (259.663)
ChirikovZorin I. et al.
Performance of Shashlyk Calorimeter Read Out by SiPMs with High Pixel Density
The matrix of 3 × 3 modules of the EM calorimeter ECAL0 (COMPASS II) read out
by MPPC S12572010P SiPM with the pixel density of 10^{4} mm^{2} and an
area of 3 × 3 mm is studied in the range of electron energies 1–30 GeV. It is
observed that MPPC has additional response nonlinearity and a
significantly smaller dynamic range of output signals than expected. The
mechanism of the effect based on the influence of parasitic capacitance
between pixels on the pixel gain is proposed. The energy resolution of the
calorimeter is measured to be (σ_{E}/E) = (7,1%/√E)(1+0,06/E)⊕1,4%E^{0,25}

P18201829 (3.800.785)
Komarov V. I.
The start of the creation of the medicobiological complex at the proton beam of the JINR synchrocyclotron
The first step in the creation of the medicobiological complex at the proton beam of the JINR Laboratory of Nuclear Problems cyclotron is considered.

P13201828 (1.160.652)
Pepelyshev Yu. N., Rogov A. D., Sidorkin S. F.
Optimization Study of the AcceleratorDriven Multiplying Pulsed Neutron Sources
The neutron source operating at the Frank Laboratory of Neutron Physics
of the Joint Institute for Nuclear Research (Dubna) on the base of the IBR2M pulsed
reactor with the flux density of thermal neutrons ∼ 10^{13}cm^{2} · s^{1} will
exhaust its resource and be shut down by 2034. It is proposed to consider the protondriven
subcritical pulsed neutron source instead of the IBR2M. At present, the world mostly uses the
nonmultiplying neutron sources based on the highcurrent proton accelerators, for example, SNS or ESS with a
beam power of 3 and 5 MW, respectively. We present the computational comparison of the various categories of the
highcurrent proton acceleratordriven pulsed neutron sources in order to select the most optimal solutions.
The onezone booster with a tungsten target and the core with plutonium dioxide which can be a promising option is shown.
For such a source, it is possible to obtain an average thermal neutron flux density of more than 5.0 · 10^{14} cm^{2} · s^{1} at a
proton beam power of 0.1–0.2 MW.

P10201823 (549.125)
Kirilov A. S., Morkovnikov I. A.
About the Concept of the File Repositary for Istruments at the IBR2 Pulsed Reactor
The work is devoted to the concept of a central repository of measurement data from the IBR2
instruments at the FLNP, JINR. The concept takes into account the variety of structures and data file formats
on specific instruments, the users' wishes, and estimated amount of disk space required. The questions of the
service organization for the work with the data into the storage were considered, taking into account the existing
system of automatic measurements registration Journal.

E13201822 (622.408)
Korepanova N. V. et al.
Neutron Noise Analysis Using the Basic Element Method
The full range of noise energy pulses reaches ±22% under normal
conditions of operation of the IBR2M reactor (JINR, Dubna). Therefore, slow changes in average power, caused,
for example, by the movement of regulatory bodies, “drown” in the noises. But in a number of cases,
it is these slow components of the pulse energy variation, the socalled basic signals (baseline),
that are of fundamental importance for justifying the conditions for safe operation of the reactor.
To determine the baseline in the noises of the IBR2M the sixth order meansquare piecewise polynomial approximation (MSPPA6)
was used for the detection of the baseline in the noises of IBR2M. The algorithm MSPPA6 depends on control
parameters α, β, M and K, the optimal values of which depend on the initial noise parameters.
The algorithm was applied to both the static and the dynamic state of the reactor in the range of an average power
of 30 kW – 2 MW. The average processing time of one point on a PC x86_64 Processor Intel Core i54570 Sandy Bridge machine,
3.20 GHz, was 0.05 ms, which allows using the MSPPA6 algorithm in real time.

P3201820 (552.724)
Zakharov M. A. et al.
Numerical Simulation of the Experiment on Observing NonStationary Diffraction of UCNs on a Moving Lattice
A set of programs has been created for modeling the experiment to study UCN diffraction on a moving grating.
The problem of diffraction of neutrons on a lattice with parameters corresponding to the actual experiment was solved
numerically on the basis of the equations of the dynamic theory of diffraction. The process of measuring the diffraction
spectrum by a timeofflight Fourier diffractometer was simulated by the Monte Carlo method. Systematic errors in the reconstruction
of the neutron energy spectrum by the inverse Fourier spectrometry method are investigated. The results of numerical calculations are
compared with experimental data.

E1201818 (763.504)
Suchopár M. et al. (on behalf of the Collaboration
“Energy and Transmutation of Radioactive Waste”)
Activation Measurement of Neutron Production and Transport in a Thick Lead
Target and a Uranium Blanket during 4 GeV Deuteron Irradiation
Several simple acceleratordriven system (ADS) setups were irradiated with
relativistic proton and deuteron beams in the last years at the Nuclotron
synchrotron site of the Joint Institute for Nuclear Research (JINR) in
Dubna, Russia. This paper is dedicated to a 4 GeV deuteron irradiation of a
setup called Energy plus Transmutation (E + T), consisting of a lead target,
natural uranium blanket, and polyethylene shielding. This paper represents
the finalization of data analysis and concludes systematics of the proton
and deuteron experiments carried out with the E + T setup. Activation
detectors served for monitoring of proton and deuteron beams and for
measurements of neutron field distribution in model ADS studies. Products of
reactions with thresholds up to 106 MeV as well as nonthreshold reactions
were observed in the samples. The yields of the produced isotopes were
determined using the gammaray spectrometry and compared with Monte Carlo
simulations performed with the MCNPX transport code.

P11201817 (311.312)
Ayryan E. A., Malykh M. D., Sevastianov L. A.
Finite Differences Method and Integration of the Differential Equations in Finite Terms
We show that standard approaches to integration of the differential
equations in finite terms contain the reference to numerical methods of the last centuries.
Further we describe the class of the differential equations of the first order allowing
good differential schemes. This means that the calculation by such scheme can be continued after mobile singularities.
After necessary introduction we describe such onetoone scheme for the Riccati equation and prove its property mentioned above.
In conclusion we present nton schemes for 1st order differential equations as their natural generalization.
Here we prove that onetoone schemes exist only for the Raccati equation and investigate conditions of existence of 2to2 schemes.

E1201811 (1.393.237)
Tokarev M. (on behalf of the STAR Collaboration)
Recent STAR Spin Results and Spin Measurements at RHIC
The STAR experiment provides measurements of single and doublespin
asymmetries in longitudinally and transversely polarized p+p collisions at √ s = 200 and 510 GeV
to deepen our understanding of the proton spin structure and dynamics of parton interactions over a wide range of collision energy,
momentum and rapidity of the various produced probes. Polarized processes with W± production allow us to study the spinflavor
structure of the proton. Recent results obtained by STAR on the double longitudinal asymmetry, A_{LL}, of pion and
jet production at √ s = 200 and 510 GeV, the single longitudinal, A_{L}, and transverse,
A_{N}, asymmetry of W± production at √ s =510 GeV are overviewed.
STAR results on azimuthal single transverse asymmetry of pion in p↑ + (p, Au) and jet + π± â p↑ + p collisions are discussed.
The proposed Forward Calorimeter System (FCS) and Forward Tracking System (FTS) upgrades at STAR would significantly
improve the capabilities of existing detectors for measurements of observables such as asymmetries of pion, jet, Drel–Yan pairs produced at forward rapidities.

E320187 (250.576)
Granja C. et al.
Two Methods of Determination
of Parities of LowLying States
in ^{159}Gd from Analysis of
γRay Intensities from
^{158}Gd(n_{res},γ)^{159}Gd Reaction
Energy levels and transitions in ^{159}Gd were studied
by means of radiative capture of resonance
neutrons in 12 isolated resonances of ^{158}Gd.
The timeofflight technique was used on an enriched
target at the IBR30 reactor at JINR, Dubna.
A total of 80 primary gamma transitions were recorded,
and their absolute intensities were determined resulting
in the observation of 1/2± and 3/2± levels up to
2.4 MeV.
Parities of the found levels were recalculated using two methods:
the first method consists in analyzing of intensities averaging
in 12 resonances, and in the second method individual intensities
are analyzed. The second method is described for the first time.

P1120186 (746.926)
Akishin P. G., Sapozhnikov A. A.
The Integral Formulation of the Magnetostatic Problem for Magnetic System Modelling
We consider the application of the volume integral method to the magnetic system
calculations. The major stages of modelling process are discussed:
the discretization of initial equations, the description of the algorithm
for dividing the area into elements, the calculation of matrix elements for
discretization problem and the solution for the obtained system of nonlinear
equations. The results of modelling of magnetic systems using the discussed method are presented and compared with calculations performed by other programs.

P220184 (837.094)
Sinegovsky S. I., Sorokovikov M. N.
Prompt Atmospheric Neutrinos in the QuarkGluon String Model
We calculate the prompt atmospheric neutrino flux in the energy
range 1–10^{5} TeV arising from decays of the charmed particles. Cross sections
of the Dmesons and Λ_{c}baryons production in pA and πAcollisions
are calculated in the framework of the phenomenological quarkgluon string model,
free parameters of which were improved using measurement data of the LHC experiments.
Predicted prompt neutrino flux is compatible with the constraint obtained in IceCube experiment.
Also we compare our calculation with other predictions obtained for different charm production models.

P1520183 (4.377.077)
Didyk A. Yu. et al.
Synthesis of SolidState Structures and Chemical Elements under Irradiation by Bremsstrahlung γ Rays with a Maximum Energy of 10 MeV in Condensed Deuterium at a Pressure of 2.2 kbar
A highpressure chamber filled with deuterium (DHPC) under initial pressure 2.2
kbar was irradiated during 49 h by bremsstrahlung γ rays with a maximum energy of 10 MeV.
After irradiation, several particles with dimensions up to 1 mm fell out of the DHPC.
On the inner surfaces of the DHPC, newly formed solid microobjects
were found in the form of crystalline and amorphous microparticles, filaments,
nodules and inclusions. Investigations of the elemental composition of the revealed structures,
carried out with the help of Xray microprobe analysis, showed the presence of chemical
elements in them, which were absent in the reaction chamber prior to the onset of irradiation.
The following chemical elements were registered: _{6}C, _{7}N, _{8}O, _{11}Na, _{12}Mg,
_{13}Al, _{14}Si, _{15}P, _{16}S, _{17}Cl, _{19}K, _{20},
_{21}Sc, _{22}Ti, _{24}Cr, _{25}Mn, _{26}Fe, _{28}Ni, _{30}Zn,
_{33}As, à òàêæå îëîâî _{50}Sn è ñâèíåö _{82}Pb.
The experiment on the synthesis of chemical elements in deuterium confirms
the results of previous experiments performed with other gases: hydrogen, helium and xenon.

20181 (14.227.816)
Brief Review of Topmost Scientific Results Obtained in 2017 at the Joint Institute for Nuclear Research


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