Abstract We investigate the production of the newly found pentaquark exotic baryon Ξ5 in the KN → KΞ5 and KN → KΞ5 reactions at the tree level. We consider the both positiveand negativeparities of the Ξ5. The reactions are dominated by the sand u-channel processes, and it is observed that the resulting cross sections are very much dependent on the parity of Ξ5 and on the type of form factor. We...

In earlier papers we studied direct limits (G,K) = lim −→ (Gn,Kn) of two types of Gelfand pairs. The first type was that in which the Gn/Kn are compact riemannian symmetric spaces. The second type was that in which Gn = Nn ⋊ Kn with Nn nilpotent, in other words pairs (Gn,Kn) for which Gn/Kn is a commutative nilmanifold. In each we worked out a method inspired by the Frobenius–Schur Orthogonalit...

A k-decomposition (G1, . . . , Gk) of a graph G is a partition of its edge set to form k spanning subgraphs G1, . . . , Gk. The classical theorem of Nordhaus and Gaddum bounds χ(G1) + χ(G2) and χ(G1)χ(G2) over all 2-decompositions of Kn. For a graph parameter p, let p(k;G) denote the maximum of ∑k i=1 p(Gi) over all k-decompositions of the graph G. The clique number ω, chromatic number χ, list ...

Any countable Kn-free graph T embeds as a moiety into the universal homogeneous Kn-free graph Kn in such a way that every automorphism of T extends to a unique automorphism of Kn. Furthermore, there are 2 such embeddings which are pairwise not conjugate under Aut(Kn).

Let S(n, k) denote the Stirling number of the second kind, and let Kn be such that S(n,Kn − 1) < S(n,Kn) ≥ S(n,Kn + 1). Using a probabilistic argument, we show that, for all n ≥ 2, ⌊e⌋ − 2 ≤ Kn ≤ ⌊e ⌋+ 1, where ⌊x⌋ denotes the integer part of x, and w(n) denotes Lambert’s W function.

introduction: the aim of this study was to assess the effect of ca2+/calmodulin-dependent kinase iiα (camkiiα) inhibitor (kn-93) injection into the locus coeruleus (lc) on the modulation of withdrawal signs. we also sought to study the effect of chronic morphine administration on camkiiα activity in the rat lc. methods: the research was based on behavioral and molecular studies. in the behavior...

The fact that the complete graph K5 does not embed in the plane has been generalized in two independent directions. On the one hand, the solution of the classical Heawood problem for graphs on surfaces established that the complete graph Kn embeds in a closed surface M if and only if (n − 3)(n − 4) ≤ 6b1(M), where b1(M) is the first Z2-Betti number of M . On the other hand, Van Kampen and Flore...