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    Long distance contributions to the eta(b) ---> J / psi J / psi decay

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    It was argued long ago that eta(b) could be observed through the eta(b)-> J/psi(->mu(+)mu(-))J/psi(->mu(+)mu(-)) decay chain. Recent calculations indicate that the width of eta(b) into two J/psi is almost 3 orders of magnitude smaller than the one into the D (D) over bar*. We study the effects of final-state interactions due to the D (D) over bar* intermediate state on the J/psi J/psi final state. We find that the inclusion of this contribution may enhance the short-distance branching ratio up to about 2 orders of magnitude

    Numerov and phase-integral methods for charmonium

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    This paper applies the Numerov and phase-integral methods to the stationary Schrodinger equation that studies bound states of charm anti-charm quarks. The former is a numerical method well suited for a matrix form of second-order ordinary di erential equations, and can be applied whenever the stationary states admit a Taylor-series expansion. The latter is an analytic method that provides, in principle, even exact solutions of the stationary Schrodinger equation, and well suited for applying matched asymptotic expansions and higher order quantization conditions. The Numerov method is found to be always in agreement with the early results of Eichten et al., whereas an original evaluation of the phase-integral quantization condition clarifies under which conditions the previous results in the literature on higher-order terms can be obtained.Comment: 23 pages, 2 tables and 2 figures. In the final version, the presentation and the numerical analysis have been improved, and a misprint in Eq. (2.3) has been amende
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