The observation of the $P_{cs}(4459)$ by LHCb collaboration adds a new member to set known hidden-charm pentaquarks, which includes $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$. is expected have light-quark content $\Lambda$ baryon ($I=0$, $S=-1$), but its spin unknown. Its closeness $\bar{D}^* \Xi_c$ threshold -- $4478\,{\rm MeV}$ in isospin-symmetric limit suggests molecular hypothesis as plausib...

‎let $g$ be a graph without an isolated vertex‎, ‎the normalized laplacian matrix $tilde{mathcal{l}}(g)$‎‎is defined as $tilde{mathcal{l}}(g)=mathcal{d}^{-frac{1}{2}}mathcal{l}(g) mathcal{d}^{-frac{1}{2}}$‎, where ‎$‎mathcal{‎d}‎$ ‎is a‎ diagonal matrix whose entries are degree of ‎vertices ‎‎of ‎$‎g‎$‎‎. ‎the eigenvalues of‎‎$tilde{mathcal{l}}(g)$ are ‎called ‎ ‎ as ‎the ‎normalized laplacian ...

‎Let $mathcal A$ and $mathcal B$ be unital rings‎, ‎and $mathcal M$‎ ‎be an $(mathcal A‎, ‎mathcal B)$-bimodule‎, ‎which is faithful as a‎ ‎left $mathcal A$-module and also as a right $mathcal B$-module‎. ‎Let ${mathcal U}=mbox{rm Tri}(mathcal A‎, ‎mathcal M‎, ‎mathcal‎ ‎B)$ be the triangular ring and ${mathcal Z}({mathcal U})$ its‎ ‎center‎. ‎Assume that $f:{mathcal U}rightarrow{mathcal U}$ is...

in this paper‎, ‎we consider a general integral operator $g_n(z).$ the main object of the present paper is to study some properties of this integral operator on the classes $mathcal{s}^{*}(alpha),$ $mathcal{k}(alpha),$ $mathcal{m}(beta),$ $mathcal{n}(beta)$ and $mathcal{kd}(mu,beta).$‎

let $mathcal{x}$ be a class of $r$-modules‎. ‎in this paper‎, ‎we investigate ;$mathcal{x}$-injective (projective) and dg-$mathcal{x}$-injective (projective) complexes which are generalizations of injective (projective) and dg-injecti‎‎ve (projective) complexes‎. ‎we prove that some known results can be extended to the class of ;$mathcal{x}$-injective (projective) and dg-$mathcal{x}$-injective ...

We consider the natural time-dependent fractional p-Laplacian equation posed in whole Euclidean space, with parameter $$12$$ has been dealt recen...

let $mathcal{a}$ and $mathcal{b}$ be two $c^{*}$-algebras such that $mathcal{b}$ is prime. in this paper, we investigate the additivity of maps $phi$ from $mathcal{a}$ onto $mathcal{b}$ that are bijective, unital and satisfy $phi(ap+eta pa^{*})=phi(a)phi(p)+eta phi(p)phi(a)^{*},$ for all $ainmathcal{a}$ and $pin{p_{1},i_{mathcal{a}}-p_{1}}$ where $p_{1}$ is a nontrivial projection in $mathcal{a...

Chase-escape percolation is a variation of the standard epidemic spread models. In this model, each site can be in one three states: unoccupied, occupied by single prey, or predator. Prey particles to neighboring empty sites at rate $p$, and predator only prey $1$, killing particle that existed site. It was found survive with non-zero probability, if $p>p_c$ $p_c<1$. Using Monte Carlo simulatio...

We study the magnetic moments and transition of $P_c$ $P_{cs}$ states in molecular picture. first revisit as $S$ wave without coupled channel effects. The effects $D$ contributions are then investigated carefully. contribute to change $0.1\sim 0.4$ nuclear magneton $\mu_N$ for most cases while only induces variation less than $0.03 ~\mu_N$. In addition, we obtain between different related elect...