The Υ(5S) was discovered about 20 years ago in ee collisions at CLEO [1] and CUSB [2]. Its mass is (10865 ± 8) MeV, about 300 MeV higher than the Υ(4S) resonance, and its width of (110± 13) MeV is about five times larger than the Υ(4S) resonance. Its production cross-section was measured to be about 0.3 nb, about ten times lower than the Υ(4S) cross-section. Owing to its mass, the Υ(5S) can dec...

In the papers [BT3] and [BT4], the authors introduced and studied one-to-one mappings Υ and Υ (α ∈ ]0, 1[) from the class ID(∗) of infinitely divisible probability measures on R into itself. In particular it was proved that these mappings are continuous, when ID(∗) is endowed with the topology corresponding to weak convergence. In the present note we prove that the Υ-mappings are homeomorphisms...

We introduce a linearly ordered set Z and use it to prove a necessity condition for the existence of a Gâteaux smooth norm on C0(Υ), where Υ is a tree. This criterion is directly analogous to the corresponding equivalent condition for Fréchet smooth norms. In addition, we prove that if C0(Υ) admits a Gâteaux smooth lattice norm then it also admits a lattice norm with strictly convex dual norm.

One of the central questions of universal algebraic geometry is: when two algebras have the same algebraic geometry? There are various interpretations of the sentence " Two algebras have the same algebraic geometry ". One of these is automorphic equivalence of algebras, which is discussed in this paper, and the other interpretation is geometric equivalence of algebras. In this paper we consider...

We study two-body weak hadronic decays of ψ and Υ employing the factorization scheme. Branching ratios for ψ → PP/PV and Υ → PP/PV decays in the Cabibboangle-enhanced and Cabibbo-angle-suppressed modes are predicted.

Novel rational spectral collocation is presented in combination with singularity separation method for the second-order singularly perturbed boundary-value problems. The solution form u = w + υ; where of corresponding third problem and υ a singular function explicit expression. auxiliary solved by combined asymptotic theory (RSCAT). According to analysis, parameters sinh-transformation can be d...