Experimental study ofηcdecays into vector-vector final states

Study of charmless hadronic B meson decays to pseudoscalar-vector final states.

We report results of searches for charmless hadronic B meson decays to pseudoscalar( pi(+/-), K+/-, pi(0), or K(0)(S))-vector( rho, K(*), or omega) final states. By using 9.7x10(6) BB pairs collected with the CLEO detector, we report the first observation of B(-)--->pi(-)rho(0), B(0)-->pi(+/-)rho(-/+), and B(-)-->pi(-)omega, which are expected to be dominated by hadronic b-->u transitions. The ...

Packing vector spaces into vector spaces

A partial t-spread in Fq is a collection of t-dimensional subspaces with trivial intersection such that each non-zero vector is covered at most once. How many t-dimensional subspaces can be packed into Fq , i.e., what is the maximum cardinality of a partial t-spread? An upper bound, given by Drake and Freeman, survived more than forty years without any improvement. At the end of 2015, the upper...

Homotopy of Vector States

Let B be a C-algebra and X a C Hilbert B-module. If p 2 B is a projection, denote by S p (X) = fx 2 X : hx; xi = pg, the p-sphere of X. For ' a state of B with support p in B and x 2 S p (X), consider the state ' x of L B (X) given by ' x (t) = '(hx; t(x)i). In this paper we study certain sets associated to these states, and examine their topologic properties. As an application of these techniq...

Multi-matrix Vector Coherent States

A class of vector coherent states is derived with multiple of matrices as vectors in a Hilbert space, where the Hilbert space is taken to be the tensor product of several other Hilbert spaces. As examples vector coherent states with multiple of quaternions and octonions are given. The resulting generalized oscillator algebra is briefly discussed. Further, vector coherent states for a tensored H...

Bound States of Vector Bosons