Abstract: We search for the Z(1)(4050)(+) and Z(2)(4250)(+) states, reported by the Belle Collaboration, decaying to chi(c1)pi(+) in the decays (B) over bar (0) -> chi K-c1(-)pi(+) and B+ -> chi K-c1(S)0 pi(+) where chi(c1) -> J/psi gamma. The data were collected with the BABAR detector at the SLAC PEP-II asymmetric-energy e(+)e(-) collider operating at center-of-mass energy 10.58 GeV, and correspond to an integrated luminosity of 429 fb(-1). In this analysis, we model the background-subtracted, efficiency-corrected chi(c1)pi(+) mass distribution using the K pi mass distribution and the corresponding normalized K pi Legendre-polynomial moments, and then test the need for the inclusion of resonant structures in the description of the chi(c1)pi(+) mass distribution. No evidence is found for the Z(1)(4050)(+) and Z(2)(4250)(+) resonances, and 90% confidence level upper limits on the branching fractions are reported for the corresponding B-meson decay modes.

Abstract: A particular type of order-to-chaos transition mediated by an infinite set of coexisting neutrally stable limit cycles of different periods is studied in the Varley-Gradwell-Hassell population model. We prove by an algebraic method that this kind of transition can only happen for a particular bifurcation parameter value. Previous results on the structure of the attractor at the transition point are here simplified and extended.

Abstract: We construct all SUL(3) x SUR(3) chirally invariant anomalous magnetic, i.e., involving a Pauli tensor and one-derivative, interactions of one chiral [(8, 1) circle plus (1, 8)] meson fieldwith chiral [(6, 3) circle plus (3, 6)], [(3, (3) over bar) circle plus ((3) over bar), 3], and [(8, 1) circle plus (1, 8)] baryon fields and their “mirror” images. We find strong chiral selection rules; e. g., there is only one off-diagonal chirally symmetric anomalous magnetic interaction between J = 1/2 fields belonging to the [(6, 3) circle plus (3, 6)] and the [(3, (3) over bar) circle plus ((3) over bar), 3] chiral multiplets. We also study the chiral selection rules for the anomalous magnetic interactions of the [(3, (3) over bar) circle plus ((3) over bar), 3] and the [(8, 1) circle plus (1, 8)] baryon fields. Again, no diagonal and only one off-diagonal chiral SUL(3) x SUR(3) interaction of this type is allowed, that turns out also to conserve the U-A(1) symmetry. We calculate the F/D ratios for the baryons' anomalous magnetic moments predicted by these interactions in the SU(3) symmetry limit and find that only the [(6, 3) circle plus (3, 6)]-[(3, (3) over bar) circle plus ((3) over bar), 3] one reproduces F/D = 1/3, in close proximity to the value extracted from experiment.