Strong and Radiative Decays of X(3872) as a Hadronic Molecule with a Negative Parity

Properties of X(3872) are studied by regarding it as a DD ∗ hadronic molecule with JPC = 2−+ in the phenomenological Lagrangian approach. We find that our model with about 98 % isospin zero component explains the existing data nicely, for example, the ratio B(X(3872) → J/ψπ+π−π0)/B(X(3872) → J/ψπ+π−). We predict the partial widths of the radiative decays of X(3872) → γJ/ψ, γψ(2S) and the strong decays of X(3872) → J/ψπ+π−, J/ψπ+π−π0 as well as X(3872) → χcJπ0. Our analysis shows that the measurement of the ratio B(X(3872) → χc0π0)/B(X(3872) → χc1π0) may signal the nature of X(3872). Subject Index: 169 X(3872) is one of the mysterious exotic states which was observed by the Belle Collaboration in the exclusive B ± → K±π+π−J/ψ decays in 2003.1) Later, this state was confirmed by the CDF,2) the D03) and the BaBar4)–6) Collaborations. The observation of its decay channels γJ/ψ5),7) and γψ(2S)8) indicates that X(3872) has