One-photon decay of the tetraquark state $X(3872) \to γ+ J/ψ$ in a relativistic constituent quark model with infrared confinement

Details One-photon decay of the tetraquark state $X(3872) \to γ+ J/ψ$ in a relativistic constituent quark model with infrared confinement One-photon decay of the tetraquark state $X(3872) \to γ+ J/ψ$ in a relativistic constituent quark model with infrared confinement

2011-04-20

arxiv.org/abs/1104.3974v2

Phys.Rev.D84:014006,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 5 figures. Typos corrected, version matching the one published in PRD

Scientific paper

10.1103/PhysRevD.84.014006

We further explore the consequences of treating the X(3872) meson as a tetraquark bound state by analyzing its one-photon decay X => \gamma + J/psi in the framework of our approach developed in previous papers which incorporates quark confinement in an effective way. To introduce electromagnetism we gauge a nonlocal effective Lagrangian describing the interaction of the X(3872) meson with its four constituent quarks by using the P-exponential path-independent formalism. We calculate the matrix element of the transition X => \gamma+ J/psi and prove its gauge invariance. We evaluate the X=> \gamma + J/psi decay width and the longitudinal/transverse composition of the J/psi in this decay. For a reasonable value of the size parameter of the X(3872) meson we find consistency with the available experimental data. We also calculate the helicity and multipole amplitudes of the process, and describe how they can be obtained from the covariant transition amplitude by covariant projection.

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