Charmonium and Meson–Molecule Hybrid Tetraquarks Vector Meson Width and the Isospin Breaking in the X(3872) Decay

• Published in: Few-body systems Vol. 54; no. 1-4; pp. 419 - 423
• Main Authors: Takeuchi, Sachiko, Shimizu, Kiyotaka, Takizawa, Makoto
• Format: Journal Article
• Language: English
• Published: Vienna Springer Vienna 01.03.2013
• Subjects: Atomic; Breaking; Hadrons; Heavy Ions; Molecular; Nuclear Physics; Optical and Plasma Physics; Particle and Nuclear Physics; Physics; Physics and Astronomy; Isospin Symmetry; Vector Meson; Belle Collaboration; Heavy Meson; Molecule Hybrid
• ISSN: 0177-7963; 1432-5411
• DOI: 10.1007/s00601-012-0404-4

In the X (3872) decay, both of the and branching fractions are observed experimentally, and their sizes are comparable to each other. In order to clarify the mechanism to cause such a large isospin violation, we investigate X(3872) employing a model of coupled-channel two-meson scattering with a core. The two-meson states consist of , D + D *− , , and . The effects of the ρ and ω meson width are also taken into account. We calculate the transfer strength from the core to the final two-meson states. It is found that very narrow and peaks appear very close to the threshold for a wide range of variation in the parameter sets. The size of the peak is almost the same as that of , which is consistent with the experiments. The large width of the ρ meson makes the originally small isospin violation by about five times larger.