Diquark-antidiquark states with hidden or open charm and the nature of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>X</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3872</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>

Abstract

Heavy-light diquarks can be the building blocks of a rich spectrum of states which can accommodate some of the newly observed charmoniumlike resonances not fitting a pure $c\overline{c}$ assignment. We examine this possibility for hidden and open charm diquark-antidiquark states deducing spectra from constituent quark masses and spin-spin interactions. Taking the $X(3872)$ as input we predict the existence of a ${2}^{++}$ state that can be associated to the $X(3940)$ observed by Belle and reexamine the state claimed by SELEX, $X(2632)$. The possible assignment of the previously discovered states ${D}_{s}(2317)$ and ${D}_{s}(2457)$ is discussed. We predict $X(3872)$ to be made of two components with a mass difference related to ${m}_{u}\ensuremath{-}{m}_{d}$ and discuss the production of $X(3872)$ and of its charged partner ${X}^{\ifmmode\pm\else\textpm\fi{}}$ in the weak decays of ${B}^{+,0}$.