
Preprints and Communications
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2018 

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.

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.

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}

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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