We study the production of light $J^{PC}=1^{-+}$ hybrid isoscalars $\eta_1^\prime(1855)$ and yet undiscovered $\eta_1(1660)$ as intermediate states in radiative decays charmonium ($J/\psi$) to two conventional mesons using a flavor symmetric Lagrangian. For this purpose, we use $J/\psi\to\gamma\eta_1^\prime(1855)\to\gamma\eta\eta^\prime$ process reference. find that some decay channels have bra...

Abstract Motivated by several conjectures due to Nikoghosyan, in a recent article Li et al., the aim was characterize all possible graphs H such that every 1-tough -free graph is hamiltonian. The almost complete answer given there conclusion proper induced subgraph of $$K_1\cup P_4$$ K 1</mm...

We study the spherically averaged bispectrum of 21-cm signal from Epoch Reionization (EoR). This metric provides a quantitative measurement level non-Gaussianity which is expected to be high. focus on impact light-cone effect and its detectability with future SKA-Low telescope. Our investigation based single reionization model an ensemble 50 realisations estimate cosmic variance errors. calcula...

The structure function of a random matrix ensemble can be specified as the covariance linear statistics $\sum_{j=1}^N e^{i k_1 \lambda_j}$, e^{-i k_2 \lambda_j}$ for Hermitian matrices, and same with eigenvalues $\lambda_j$ replaced by eigenangles $\theta_j$ unitary matrices. As such it written in terms Fourier transform density-density correlation $\rho_{(2)}$. For circular $\beta$-ensemble $\...

We consider the following coupled Schr$ \ddot{o} $dinger system with critical exponent in $ \mathbb{R}^3: $$ \left \{ \begin{aligned} &amp;-\Delta u+\lambda V(|y|)u = K_1(|y|)u^5+u^2v^3,\qquad &amp;\text{ } \mathbb{R}^3\backslash B_\epsilon(0),\\ v+\lambda V(|y|)v K_2(|y|)v^5+v^2u^3, \qquad &amp;u &gt;0, v&gt;0, \quad B_\epsilon(0), \\ &amp; (u,v) (0,0), &amp;\text{on \partial B_\epsilon (0), &...

In this work we present an attempt to describe the $X_1(2900)$ found by LHCb collaboration, in experimental data on invariant mass spectrum of $ D^-K^+$, as a three-meson molecular state $K\rho\bar D$ system. We discuss that interactions all subsystems are attractive nature, with $\rho \bar interaction generating $\bar D_1(2420)$ and $K \rho$ resonating $K_1(1270)$. find system can form three-b...

We consider the vertex cover problem with multiple coverage constraints in hypergraphs. In this problem, we are given a hypergraph \(G=(V,E)\) maximum edge size f, cost function \(w: V\rightarrow {\mathbb {Z}}^+\), and subsets \(P_1,P_2,\ldots ,P_r\) of E along covering requirements \(k_1,k_2,\ldots ,k_r\) for each subset. The objective is to find minimum subset S V such that, \(P_i\), at least...

Close binary interactions may play a critical role in the formation of rapidly rotating Be stars. Mass transfer can result mass gainer star spun up by accretion and angular momentum, while donor is stripped its envelope to form hot faint helium star. FUV spectroscopy has led detection about 20 such Be+sdO systems. Here we report on three-year program high quality designed determine orbital peri...

This paper studies the strong fractional choice number $ch^s_f(G)$ and paint $pt^s_f(G)$ of a graph $G$. We prove that these parameters any finite are rational numbers. On other hand, for positive integers $p,q$ satisfying $2 \le \frac{2p}{2q+1} \leq \lfloor\frac{p}{q}\rfloor$, we construct $G$ with $ch^s_f(G) = pt^s_f(G) \frac{p}{q}$. The relationship between is explored. gap $pt^s_f(G)-ch^s_f...