Maxwell-Bloch equation and Correlation function for penetrable Bose gas

We consider the quantum nonlinear Schr\"odinger equation in one space and one time dimension. We are interested in the non-free-fermionic case. We consider static temperature-dependent correlation functions. The determinant representation for correlation functions simplifies in the small mass limit of the Bose particle. In this limit we describe the correlation functions by the vacuum expectation value of a boson-valued solution for Maxwell-Bloch differential equation. We evaluate long-distance asymptotics of correlation functions in the small mass limit.Comment: LaTEX file, 20 pages, to appear J. Phys. A (1997

INVERSE SCATTERING TRANSFORM ANALYSIS OF STOKES-ANTI-STOKES STIMULATED RAMAN SCATTERING

Zakharov-Shabat--Ablowitz-Kaup-Newel-Segur representation for Stokes-anti-Stokes stimulated Raman scattering is proposed. Periodical waves, solitons and self-similarity solutions are derived. Transient and bright threshold solitons are discussed.Comment: 16 pages, LaTeX, no figure

Non-homogeneous systems of hydrodynamic type possessing Lax representations

We consider 1+1 - dimensional non-homogeneous systems of hydrodynamic type that possess Lax representations with movable singularities. We present a construction, which provides a wide class of examples of such systems with arbitrary number of components. In the two-component case a classification is given.Comment: 22 pages, latex, minor change

A new design for a green calcium indicator with a smaller size and a reduced number of calcium-binding sites

Genetically encoded calcium indicators (GECIs) are mainly represented by two- or one-fluorophore-based sensors. One type of two-fluorophore-based sensor, carrying Opsanus troponin C (TnC) as the Ca2+-binding moiety, has two binding sites for calcium ions, providing a linear response to calcium ions. One-fluorophore-based sensors have four Ca2+-binding sites but are better suited for in vivo experiments. Herein, we describe a novel design for a one-fluorophore-based GECI with two Ca2+-binding sites. The engineered sensor, called NTnC, uses TnC as the Ca2+-binding moiety, inserted in the mNeonGreen fluorescent protein. Monomeric NTnC has higher brightness and pH-stability in vitro compared with the standard GECI GCaMP6s. In addition, NTnC shows an inverted fluorescence response to Ca2+. Using NTnC, we have visualized Ca2+ dynamics during spontaneous activity of neuronal cultures as confirmed by control NTnC and its mutant, in which the affinity to Ca2+ is eliminated. Using whole-cell patch clamp, we have demonstrated that NTnC dynamics in neurons are similar to those of GCaMP6s and allow robust detection of single action potentials. Finally, we have used NTnC to visualize Ca2+ neuronal activity in vivo in the V1 cortical area in awake and freely moving mice using two-photon microscopy or an nVista miniaturized microscope

Дифференциальная экспрессия микроРНК и их генов-мишеней при цервикальных интраэпителиальных неоплазиях разной степени тяжести

Background. Currently, little is known about the specific microRNAs involved in the development of cervical intraepithelial neoplasia (CIN1, 2, 3) and the transition to cancer in situ (CIS). Our meta-analysis allowed us to isolate 8 microRNAs (hsa-miR-1246, hsa-miR- 145-5p, hsa-miR-196b-5p, hsa-miR-34a-5p, hsa-miR-20a-5p, hsa-miR-21-5p, hsa-miR-375-5p, hsa-miR-96-5p) with potential significance in the progression of precancerous diseases to cervical cancer. Objective: to analyze the expression features of hsa-miR-1246, hsa-miR-145-5p, hsa-miR-196b-5p, hsa-miR-34a-5p, hsa-miR-20a-5p, hsa-miR-21-5p, hsa-miR-375-5p, hsa-miR-96-5p and their target genes, as well as genes associated with them in common signaling pathways in the tissues of the cervix in patients with CIN1–3 and CIS. Materials and methods. To assess the expression level of microRNA and matrixRNA, the quantitative polymerase chain reaction in real time method was used. Data analysis was carried out in the Python programming language using the SciPy library. Search for target genes was performed using the TarPmiR algorithm and the overrepresentation of microRNAs in signaling pathways (Over-Representation Analysis) was analyzed. To identify genes associated with target genes in common signaling pathways, GIANT (Genome-scale Integrated Analysis of gene Networks in Tissues) and network integration with several associations algorithms were used. Results. For microRNAs miR-145, miR-196b, miR-34a, miR-20a, miR-21, miR-375 and miR-96 a decrease in expression was found in the subgroup of patients with CIS, while for 4 microRNAs (miR-145, miR-34a, miR-20a and miR-375), an increase in the expression level was found for CIN1, 2. The detected features of microRNA expression in subgroups of patients with CIN1–3 and CIS also affected the expression of their target genes (CDKN2A, MKI67, TOP2A and CD82), as well as the genes associated with them in common signaling pathways (PGK1, THBS4 (TSP4) and ECM1). Conclusion. Thus, the study revealed that each degree of CIN is characterized by its own specific molecular profile – the differential expression of microRNAs, their target genes and the genes associated with them in the general signaling pathways.Введение. В настоящее время недостаточно известно о специфических микроРНК (мкРНК), задействованных в развитии цервикальной интраэпителиальной неоплазии I, II, III степеней тяжести (CIN1, 2, 3) и переходе к карциноме in situ (CIS). Проведенный нами ранее метаанализ позволил выделить 8 мкРНК (hsa-miR-1246, hsa-miR-145-5p, hsa-miR-196b-5p, hsa-miR-34a-5p, hsa-miR-20a-5p, hsa-miR-21-5p, hsa-miR-375-5p, hsa-miR-96-5p), обладающих потенциальной значимостью в прогрессировании предраковых заболеваний в рак шейки матки. Цель исследования – анализ особенностей экспрессии hsa-miR-1246, hsa-miR-145-5p, hsa-miR-196b-5p, hsa-miR-34a-5p, hsa-miR- 20a-5p, hsa-miR-21-5p, hsa-miR-375-5p, hsa-miR-96-5p и их генов-мишеней, а также генов, ассоциированных с ними в общих сигнальных путях, в тканях шейки матки у пациенток с CIN1–3 и CIS. Материалы и методы. Для оценки уровня экспрессии мкРНК и матричной РНК использовали метод количественной полимеразной цепной реакции в режиме реального времени. Анализ данных проводили на языке программирования Python с использованием библиотеки SciPy. Поиск генов-мишеней осуществляли с помощью алгоритма TarPmiR и анализировали избыточную представленность мкРНК в сигнальных путях (Over-Representation Analysis). Для выявления генов, ассоциированных с генами-мишенями в общих сигнальных путях, использовали алгоритмы GIANT (Genome-scale Integrated Analysis of gene Networks in Tissues) и «сетевая интеграция с несколькими ассоциациями». Результаты. Для мкРНК miR-145, miR-196b, miR-34a, miR-20a, miR-21, miR-375 и miR-96 обнаружено снижение экспрессии в подгруппе пациенток с CIS, при этом для 4 мкРНК (miR-145, miR-34a, miR-20a и miR-375) выявлено увеличение уровня экспрессии при CIN1, 2. Обнаруженные особенности экспрессии мкРНК в подгруппах пациенток с CIN1–3 и CIS были ассоциированы с экспрессией их генов-мишеней (CDKN2A, MKI67, TOP2A и CD82), а также генов, связанных с ними в общих сигнальных путях (PGK1, THBS4 (TSP4) и ECM1). Заключение. Результаты исследования позволили установить, что каждая степень CIN характеризуется особым молекулярным профилем – дифференциальной экспрессией мкРНК, их генов-мишеней и генов, ассоциированных с ними в общих сигнальных путях

Transverse-momentum-dependent Multiplicities of Charged Hadrons in Muon-Deuteron Deep Inelastic Scattering

A semi-inclusive measurement of charged hadron multiplicities in deep inelastic muon scattering off an isoscalar target was performed using data collected by the COMPASS Collaboration at CERN. The following kinematic domain is covered by the data: photon virtuality $Q^{2}>1$ (GeV/$c$)$^2$, invariant mass of the hadronic system $W > 5$ GeV/$c^2$, Bjorken scaling variable in the range $0.003 < x < 0.4$, fraction of the virtual photon energy carried by the hadron in the range $0.2 < z < 0.8$, square of the hadron transverse momentum with respect to the virtual photon direction in the range 0.02 (GeV/$c)^2 < P_{\rm{hT}}^{2} < 3$ (GeV/$c$)$^2$. The multiplicities are presented as a function of $P_{\rm{hT}}^{2}$ in three-dimensional bins of $x$, $Q^2$, $z$ and compared to previous semi-inclusive measurements. We explore the small-$P_{\rm{hT}}^{2}$ region, i.e. $P_{\rm{hT}}^{2} < 1$ (GeV/$c$)$^2$, where hadron transverse momenta are expected to arise from non-perturbative effects, and also the domain of larger $P_{\rm{hT}}^{2}$, where contributions from higher-order perturbative QCD are expected to dominate. The multiplicities are fitted using a single-exponential function at small $P_{\rm{hT}}^{2}$ to study the dependence of the average transverse momentum $\langle P_{\rm{hT}}^{2}\rangle$ on $x$, $Q^2$ and $z$. The power-law behaviour of the multiplicities at large $P_{\rm{hT}}^{2}$ is investigated using various functional forms. The fits describe the data reasonably well over the full measured range.Comment: 28 pages, 20 figure

Search for Axionlike and Scalar Particles with the NA64 Experiment

We carried out a model-independent search for light scalar (s) and pseudoscalar axionlike (a) particles that couple to two photons by using the high-energy CERN SPS H4 electron beam. The new particles, if they exist, could be produced through the Primakoff effect in interactions of hard bremsstrahlung photons generated by 100 GeV electrons in the NA64 active dump with virtual photons provided by the nuclei of the dump. The a(s) would penetrate the downstream HCAL module, serving as shielding, and would be observed either through their $a(s)\to\gamma \gamma$ decay in the rest of the HCAL detector or as events with large missing energy if the a(s) decays downstream of the HCAL. This method allows for the probing the a(s) parameter space, including those from generic axion models, inaccessible to previous experiments. No evidence of such processes has been found from the analysis of the data corresponding to $2.84\times10^{11}$ electrons on target allowing to set new limits on the $a(s)\gamma\gamma$-coupling strength for a(s) masses below 55 MeV.Comment: This publication is dedicated to the memory of our colleague Danila Tlisov. 7 pages, 5 figures, revised version accepted for publication in Phys. Rev. Let

Constraints on New Physics in the Electron g-2 from a Search for Invisible Decays of a Scalar, Pseudoscalar, Vector, and Axial Vector

We performed a search for a new generic $X$ boson, which could be a scalar ($S$), pseudoscalar ($P$), vector ($V$) or an axial vector ($A$) particle produced in the 100 GeV electron scattering off nuclei, $e^- Z \to e^- Z X$, followed by its invisible decay in the NA64 experiment at CERN. No evidence for such process was found in the full NA64 data set of $2.84\times 10^{11}$ electrons on target. We place new bounds on the $S, P, V, A$ coupling strengths to electrons, and set constraints on their contributions to the electron anomalous magnetic moment $a_e$, $|\Delta a_{X}| \lesssim 10^{-15} - 10^{-13}$ for the $X$ mass region $m_X\lesssim 1$ GeV. These results are an order of magnitude more sensitive compared to the current accuracy on $a_e$ from the electron $g-2$ experiments and recent high-precision determination of the fine structure constant.Comment: 6 pages, 4 figure

Hunting down the X17 boson at the CERN SPS

Recently, the ATOMKI experiment has reported new evidence for the excess of $e^+ e^-$ events with a mass $\sim$17 MeV in the nuclear transitions of $^4$He, that they previously observed in measurements with $^8$Be. These observations could be explained by the existence of a new vector $X17$ boson. So far, the search for the decay $X17 \rightarrow e^+ e^-$ with the NA64 experiment at the CERN SPS gave negative results. Here, we present a new technique that could be implemented in NA64 aiming to improve the sensitivity and to cover the remaining $X17$ parameter space. If a signal-like event is detected, an unambiguous observation is achieved by reconstructing the invariant mass of the $X17$ decay with the proposed method. To reach this goal an optimization of the $X17$ production target, as well as an efficient and accurate reconstruction of two close decay tracks, is required. A dedicated analysis of the available experimental data making use of the trackers information is presented. This method provides independent confirmation of the NA64 published results [Phys. Rev. D101, 071101 (2020)], validating the tracking procedure. The detailed Monte Carlo study of the proposed setup and the background estimate shows that the goal of the proposed search is feasible