Lineshapes for composite particles with unstable constituents

Abstract

We discuss on very general grounds possible lineshapes of composite particles with one unstable constituent. Expressions are derived in a coupled-channel formalism for constituents interacting in an S-wave with no assumption made on the width of one of them. We show how easy-to-use formulae, already existing in the literature, emerge for narrow constituents and identify the parameter that controls the regime of their applicability.

RevTeX4, 27 pages, short discussions added, typos corrected, references updated, to appear in Phys.Rev.D

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• Line Shapes of the X(3872)
• Evidence that the Y(4660) is a f_0(980)psi' bound state
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