The possibility of Z(4430) resonance structure description in πψ′\pi\psi' reaction

The possible description of Z(4430) as a pseudoresonance structure in $\pi \psi'$ reaction, is considered. The analysis is performed with single-scattering contribution to $\pi \psi'$ elastic scattering via $D^*D_1(2420)$ intermediate energy.Comment: 3 pages, 4 figure

Application of virtual, additional and mixed reality technologies: market dimensions and development prospects

The article discusses the possibilities of using technologies of virtual, augmented and mixed reality in the sphere of market relations and the prospects for their developmentВ статье рассматриваются возможности применения технологий виртуальной, дополненной и смешанной реальности в сфере рыночных отношений и перспективы их развити

Deuteron-equivalent and phase-equivalent interactions within light nuclei

Background: Phase-equivalent transformations (PETs) are well-known in quantum scattering and inverse scattering theory. PETs do not affect scattering phase shifts and bound state energies of two-body system but are conventionally supposed to modify two-body bound state observables such as the rms radius and electromagnetic moments. Purpose: In order to preserve all bound state observables, we propose a new particular case of PETs, a deuteron-equivalent transformation (DET-PET), which leaves unchanged not only scattering phase shifts and bound state (deuteron) binding energy but also the bound state wave function. Methods: The construction of DET-PET is discussed; equations defining the simplest DET-PETs are derived. We apply these simplest DET-PETs to the JISP16 $NN$ interaction and use the transformed $NN$ interactions in calculations of $^3$H and $^4$He binding energies in the No-core Full Configuration (NCFC) approach based on extrapolations of the No-core Shell Model (NCSM) basis space results to the infinite basis space. Results: We demonstrate the DET-PET modification of the $np$ scattering wave functions and study the DET-PET manifestation in the binding energies of $^3$H and $^4$He nuclei and their correlation (Tjon line). Conclusions: It is shown that some DET-PETs generate modifications of the central component while the others modify the tensor component of the $NN$ interaction. DET-PETs are able to modify significantly the $np$ scattering wave functions and hence the off-shell properties of the $NN$ interaction. DET-PETs give rise to significant changes in the binding energies of $^3$H (in the range of approximately 1.5 MeV) and $^4$He (in the range of more than 9 MeV) and are able to modify the correlation patterns of binding energies of these nuclei