Description:
<jats:p>Two-photon decays of a tensor <jats:italic>D</jats:italic><jats:sup>∗</jats:sup><jats:italic>D</jats:italic>¯<jats:sup>∗</jats:sup> molecule are studied and the suggested approach is applied to the <jats:italic>X</jats:italic>(3915) charmonium-like state under the assumption of the latter being a 2<jats:sup>++</jats:sup> molecule — a spin partner of the <jats:italic>X</jats:italic>(3872). It is argued that the existing experimental data disfavour such an identification of this state. Therefore, it is suggested that either the <jats:italic>X</jats:italic>(3915) has a different exotic nature or it has to be identified as a scalar.</jats:p>