/ 97 02 31 6 v 1 1 2 Fe b 19 97 τ → η ( η ′ ) 2 πν , 3 πν and WZW anomaly

Strong Law of Large Numbers and Mixing for the Invariant Distributions of Measure-valued Diffusions

Let M(Rd) denote the space of locally finite measures on Rd and let M1(M(Rd)) denote the space of probability measures on M(Rd). Define the mean measure πν of ν ∈M1(M(Rd)) by πν(B) = ∫ M(Rd) η(B)dν(η), for B ⊂ R. For such a measure ν with locally finite mean measure πν , let f be a nonnegative, locally bounded test function satisfying < f, πν >= ∞. ν is said to satisfy the strong law of large n...

0 v 1 2 1 Ja n 20 00 a 1 π CONTRIBUTION TO e + e − → 4 π ANNIHILATION AND τ → 4 πν τ DECAY

Roles of proton-neutron interactions in alpha-like four-nucleon correlations

An extended pairing plus QQ force model, which has been shown to successfully explain the nuclear binding energy and related quantities such as the symmetry energy, is applied to study the alpha-like four-nucleon correlations in 1f7/2 shell nuclei. The double difference of binding energies, which displays a characteristic behavior at N ≈ Z, is interpreted in terms of the alpha-like correlations...

ar X iv : h ep - p h / 04 02 29 3 v 1 2 7 Fe b 20 04 η , η ′ photoproduction and electroproduction off protons

Photo-and electroproduction of η, η ′ mesons on protons are investigated within a relativistic chiral unitary approach based on coupled channels. The s wave potentials for electroproduction and meson-baryon scattering are derived from a chiral effective Lagrangian which includes the η ′ as an explicit degree of freedom and incorporates important features of the underlying QCD Lagrangian such as...

Nonexistence of Homoclinic Solutions for a Class of Discrete Hamiltonian Systems

and Applied Analysis 3 From (A0), (17), (19), (20), and the first equation of system (6), we have x (n+1) = n ∑ τ=−∞ β (τ) 󵄨󵄨󵄨󵄨y (τ) 󵄨󵄨󵄨󵄨 μ−2 y (τ) n ∏ s=τ [1−α (s)] −1 , ∀n∈Z, (21) x (n+1) =− +∞ ∑ τ=n+1 β (τ) 󵄨󵄨󵄨󵄨y (τ) 󵄨󵄨󵄨󵄨 μ−2 y (τ) τ−1 ∏ s=n+1 [1−α (s)] , ∀n∈Z. (22) Combining (19) with (21), one has |x (n + 1)| ν = 󵄨󵄨󵄨󵄨󵄨󵄨󵄨 n ∑ τ=−∞ β (τ) 󵄨󵄨󵄨󵄨y (τ) 󵄨󵄨󵄨󵄨 μ−2 y (τ) n ∏ s=τ [1 − α (s)] −1 󵄨󵄨󵄨󵄨󵄨󵄨...