We study CP asymmetries in B → hπ decays, where the hadronic states h = ρρ,KKπ, ππKK, etc., and h = ππ, KK, 2(ππ), etc., are taken on the resonances ηc and χc0, respectively. The relatively large ηc and χc0 decay widths, of about 10−15 MeV, provide the necessary absorptive phase in the interference between the resonance (going through b→ ccd) and the background (through b→ uud) contributions to...

We study singularity formation in nonlinear differential equations of order m 6 2, y(m) = A(x−1, y). We assume A is analytic at (0, 0) and ∂yA(0, 0) = λ 6= 0 (say, λ = (−1)m). If m = 1 we assume A(0, ·) is meromorphic and nonlinear. If m = 2, we assume A(0, ·) is analytic except for isolated singularities, and also that ∫ ∞ s0 |Φ(s)|−1/2d|s| < ∞ along some path avoiding the zeros and singularit...

We calculate in chiral perturbation theory the parity-violating two-pion exchange nucleon-nucleon potentials at leading one-loop order. At a distance of r = m−1 π ≃ 1.4 fm they amount to about ±16% of the parity-violating 1π-exchange potential. We evaluate also the parity-violating effects arising from 2π-exchange with excitation of virtual ∆(1232)-isobars. These come out to be relatively small...

We emulate the Rademacher functions on any non-commutative compact group requiring the resulting system to have pairwise disjoint spectra. Introduction Let G be a compact topological group with normalized Haar measure μ and dual object Ĝ. Let π : G → U(Hπ) be an irreducible unitary representation of G. Then, given an integrable function f : G → C, the Fourier coefficient of f at π is defined as...

Exactness of the lowest order supersymmetric WKB (SWKB) quantization condition x 2 x 1 E − ω 2 (x)dx = n¯ hπ, for certain potentials, is examined, using complex integration technique. Comparison of the above scheme with a similar , but exact quantization condition, c p(x, E)dx = 2πn¯ h, originating from the quantum Hamilton-Jacobi formalism reveals that, the locations and the residues of the po...

A laser ablation device in combination with a molecular beam Fourier-transform microwave spectrometer has allowed the observation of the rotational spectrum of serotonin for the first time. Three conformers of the neurotransmitter have been detected and characterized in the 4-10 GHz frequency range. The complicated hyperfine structure arising from the presence of two (14)N nuclei has been fully...

Three new metal coordination polymers, namely, [Co(DPP)2(H2O)2]·(BS)2·2H2O (1), [Co(DPP)2(H2O)2]·(ABS)2·2H2O (2) and [Co(DPP)2(MBS)2] (3) [DPP = 1,3-di(pyridin-4-yl)propane, BS = phenyl sulfonic acid, ABS = p-aminobenzene sulfonic acid, MBS = p-methylbenzene sulfonic acid] were obtained under hydrothermal conditions. Complexes 1-3 were structurally characterized using X-ray single-crystal diffr...

The existence of flavor exotic QQq̄q̄ molecular-type states is investigated. An attractive force between two pseudoscalar H = (Qq̄) heavy meson is generated by (correlated) two-pion exchange. The emergence of a (loosely) bound state depends crucially on the value of the coupling constant g of the H∗Hπ vertex. For a g value calculated from the experimental upper limit on the width of the D∗ meson t...