we consider the semilinear elliptic boundary value problem  = ∈∂ω− δ = ∈ωu x xu x f u x x( ) 0;( ) λ ( ( ));where λ > 0 is a parameter, ω is a bounded region in rn with a smooth boundary, and f is asmooth function. we prove, under some additional conditions, the existence of a positive solution for λlarge. we prove that our solution u for λ large is such that = →∞∈ω|| u ||: sup| u(x) |xas λ ...

We investigate the rare baryonic exclusive decays of Λb → Λll (l = e, μ, τ) with polarized Λ. Under the approximation of the heavy quark effective theory (HQET), in the standard model we derive the differential decay rates and various polarization asymmetries by including lepton mass effects. We find that with the long-distance effects the decay branching ratios are 5.3× 10 for Λb → Λll (l = e,...

We approximate the double Λ hypernuclei by systems composed by two interacting Λ’s moving in the mean field potential created by the nuclear cores. The Λ-core potentials are adjusted to reproduce the binding energies of the corresponding single Λ hypernuclei [1]. A σ-ω meson exchange potential [2] is used for the Λ-Λ interaction. We apply both the Hartree-Fock (HF) and variational approximation...

consider an n × n matrix polynomial p(λ). a spectral norm distance from p(λ) to the set of n × n matrix polynomials that havea given scalar µ ∈ c as a multiple eigenvalue was introducedand obtained by papathanasiou and psarrakos. they computedlower and upper bounds for this distance, constructing an associated perturbation of p(λ). in this paper, we extend this resultto the case of two given di...