The wave functions are given for the eight-dimensional isotropic oscillator, the five-dimensional Coulomb and $$SU(2)$$ Yang–Coulomb monopole problems, the three-dimensional MIC–Kepler problems, the generalized MIC–Kepler problem and generalized Kepler–Coulomb and oscillator systems, as well as the four-dimensional isotropic and double singular oscillator in coordinates systems in which separation of variables is allowed in the corresponding Schrödinger equations. Using the condition of orthogonality of radial wave functions with respect to the non-energy quantum number, which we have proven, the coefficients of the interbasis expansions of the systems given above are found. Duality transformations are established that transfer the problem of an eight-dimensional isotropic oscillator into five-dimensional Coulomb and $$SU(2)$$ Yang–Coulomb monopole problems (Hurwitz transformation), as well as the MIC–Kepler problem and the generalized MIC–Kepler system into a four-dimensional isotropic and double singular oscillator (Kustaanheimo–Stiefel transformation), respectively. The coefficients are found that relate the bases of these systems to each other. For the five-dimensional $$SU(2)$$ model of the Yang–Coulomb monopole, the hidden $$SO(6)$$ symmetry group is found and the energy spectrum is calculated in a purely algebraic way. The Schrödinger equation for a “free” particle is solved in a ring-shaped model and the formula is derived that generalizes the expansion of a plane wave into spherical waves. Quantum-mechanical scattering problems are considered in five-dimensional Coulomb systems and $$SU(2)$$ Yang–Coulomb monopole systems, as well as in the fields of the MIC–Kepler problem.

NICA/MPD megascience project is the only world-class relativistic nuclear physics experiment in Russia, scheduled to start in 2025. MPDRoot is an offline software framework designed for simulation, reconstruction, and physical analysis of data obtained from the MPD experiment, projected to be on the 100 PB scale. At the core of MPDRoot’s computational engine is the particle tracking in the TPC chamber of the MPD detector, having the principal influence on the quality and speed of data analysis. In this paper, we present first benchmarks of the MPD implementation of A common tracking software (ACTS) algorithmic suite against the default MPDRoot’s reconstruction algorithms. We show, that the implementations of the ACTS combinatorial Kalman filter tracking and adaptive multi vertex finder algorithms have comparable performance already in current alpha version, unoptimized for the specifics of the MPD detector. It is expected, that the future developments of ACTS suite implementation for the MPD detector will outperform and replace current TPC reconstruction algorithms.

The present paper discusses the observations on structural transitions in ferronematics (FNs) based on the liquid crystal E7 doped with magnetic goethite nanoparticles. The dielectric properties of the prepared FNs have been investigated under the application of an orienting magnetic field and a DC biasing electric field. It was demonstrated that the addition of nanoparticles substantially influences the sensitivity of FNs to external magnetic fields.

From December 2022 to February 2023, the first physics run of the fixed target experiment, BM@N, of the NICA accelerator complex was successfully conducted, in which about 600 million events of xenon ion collisions with a cesium-iodine target were collected, occupying about 400 TB of disk space. To perform multiple processing and necessary physics analyses of such a large volume of data, a comprehensive architecture of software solutions for distributed data processing and storage is required. The paper presents a development methodology and architecture of the software complex for organizing distributed processing of BM@N data and unified storage and management of information required for processing at all stages. The architecture implemented in accordance with the methodology includes both software systems that solve the problem of combining all the distributed resources of the experiment into a single computing complex with a single storage space to provide the automation of task processing flows, and original information systems that provide collection, storage and access to information being necessary for processing and analyses of the obtained data. In addition, a set of auxiliary solutions, such as a software distribution system, single authentication and authorization system, and monitoring system, improves the efficiency and reliability of the developed architecture.

Equilibrium configurations of one-component charge particles confined in a disk potential are analyzed at zero temperatures. With the increase of the particle number the hexagonal structure of equilibrium configurations breaks, giving rise to the nucleation of defects. One of the central issues is to identify conditions for the nucleation of the hexatic phase in such systems, which is accompanied by the appearance of defects in the Wigner crystalline phase. A joint orientation-translational correlation analysis of structural changes, occurring with an increase of the number of particles, elucidates the precursors of the onset of the hexatic phase in the considered system.

The study of dense baryonic matter formed as a result of relativistic heavy-ion collisions is one of the important researches in High Energy Physics (HEP). The nuclear matter in this phase, called a quark-gluon plasma (QGP), is a mixture of quarks, antiquarks, and gluons when they are freed of their strong attraction for one other under extremely high energy densities. One of the appropriate experiments that can create the most optimal energy conditions for the formation of this matter is Baryonic Matter at Nuclotron (BM@N). A unique experimental setup consisting of various detector subsystems was developed for this experiment. The core of the setup is a hybrid tracker made up of different types of microstrip coordinate detectors to register the trajectories of charged particles produced in primary heavy-ions collisions. It can be conditionally divided into three parts: the beam tracker (SiProf and SiBT), the inner (VSP, FSD and GEM) and outer (CSC) trackers. The aim of the work was to develop the computer model of the aforementioned detectors and prepare the software based on this model for realistic response simulation and reconstruction of spatial coordinates from microstip readout planes. The information given in the work refer to the configuration of the latest experimental run conducted in 2022–2023 (RUN-8) and also for the upcoming run preliminary scheduled for 2025 (RUN-9).

The ATLAS EventIndex is a catalog of all recorded and simulated ATLAS events, one of four main experiments at the LHC accelerator at CERN. The Event Picking Service is one of the components of the ATLAS Event Index. It is used when a user wants to collect interesting events from a huge amount of ATLAS data and reprocess them. The process of retrieving an event can be split into separate tasks. The set of tasks may differ for different event types. Some tasks use external services, which can take a long time to receive results. An error may occur as a result of completing the task. Some of these errors can be corrected automatically by the service, but some require administrator intervention. Failed tasks must be restarted from the specified step after the problem is manually corrected by the administrator. This is critical if the error occurs after a long-running task has been completed. All of the above leads to the fact that the Event Picking Service must be flexible and be able to be customized for a specific situation. This paper is dedicated to describing how elasticity is achieved in the Event Picking Service and how it improves during operation.

Using field-theoretic renormalization group analysis, we study the Kardar–Parisi–Zhang equation of random surface growth with a spatially quenched random noise taking into account turbulent environment described by the Navier–Stokes equation. The latter is taken in the form that allows to model both macroscopic shaking of the fluid and fully turbulent flow. After establishing multiplicative renormalizability of the constructed action functional with additional non-linearity, we perform one-loop calculations (to the leading order in $$\varepsilon = 4 - d$$ and $$y$$ where $$d$$ is the space dimension) and find three sets of renormalization group equations’ fixed points: Gaussian fixed point (regime of ordinary diffusion), a curve of fixed points (macroscopic shaking) with infrared attractive segment, and a surface of fixed points for a special case $$\varepsilon = y$$ that also involved infrared attractive area. We also investigate marginal values of the coupling constants to look for “hidden” fixed points.

This paper focuses on advancements in understanding the processes of magnetic field transport in the regime of fully developed stationary magnetohydrodynamic (MHD) chiral turbulence, utilizing the methods of statistical field theory. Within the framework of a model describing homogeneous and isotropic turbulence in the inertial range, an estimation of the transport coefficient α (the so-called α-effect) is provided.

We consider neutron transfer reactions $$^{7}{\text{Li}}$$ ( $$d$$ , $$p$$ ) $$^{8}{\text{Li}}$$ and neutron capture $$^{7}{\text{Li}}$$ ( $$d$$ , $$t$$ ) $$^{6}{\text{Li}}$$ as sources of information on the structure of lithium nuclei in excited, including exotic, states. The analysis is based on the use of new experimental data measured at an energy of $${{E}_{{{\text{LAB}}}}}(d)$$ = 14.5 MeV at the U-150M isochronous cyclotron of the Institute of Nuclear Physics (INP), Almaty, Republic of Kazakhstan, as well as on previously obtained data. The analysis of differential cross-sections has been conducted within the framework of the finite-range distorted waveband approximation (FRDWBA) and a phenomenological approach based on solving an approximate equation for the form factor. The obtained values of nuclear vertex constants (NVC) and asymptotic normalization coefficients (ANC) are compared with theoretical model calculations and other empirical data. The obtained radial dependences of reaction form factors for various states shows that the wave function of the $$^{6}{\text{Li}}$$ nucleus in the 3.56 MeV state has an increased spatial size compared to the ground state, both of these states having larger sizes than the 2.19 MeV state. This result indicates the existence of a halo in the 3.56 MeV state, while the presence of a halo in the ground state of $$^{6}{\text{Li}}$$ remains an open question. For $$^{8}{\text{Li}}$$ , comparison of radial form factor dependences has shown that spatial sizes of the ground state and the excited state (0.98 MeV) are close. Probably both states have a skin-like structure.