Abstract
Currently, the structure of the X(3872) meson is unknown. Different competing models of the cc¯ exotic state X(3872) exist, including the possibilities that this state is either a mesonic molecule with dominating D0D¯⁎0+c.c. composition, a cc¯qq¯ tetraquark, or a cc¯-gluon hybrid state. It is expected that the X(3872) state is rather strongly coupled to the p¯p channel and, therefore, can be produced in p¯p and p¯A collisions at PANDA. We propose to test the hypothetical molecular structure of X(3872) by studying the D or D¯⁎ stripping reactions on a nuclear residue.
Highlights
The discovery of exotic ccmesons at B-factories and at the Tevatron stimulated interest to explore the possible existence of tetraquark and molecular meson states
The famous X(3872) state has been originally found by BELLE [1] as a peak in π +π − J /ψ invariant mass spectrum from exclusive B± → K ±π +π − J /ψ decays
We proposed the idea of D(D ∗) stripping from the X(3872)
Summary
The discovery of exotic ccmesons at B-factories and at the Tevatron stimulated interest to explore the possible existence of tetraquark and molecular meson states. The sum over spin states and sorts of F and the integration over phase space volume can be reduced to the products of the imaginary parts of elastic scattering amplitudes This leads to the following expression for the momentum differential cross section in the molecule rest frame: d3σp X→D∗. Due to the extremely narrow wave function of the D0 D∗0 molecule in momentum space, the screening and antiscreening corrections are sharply peaked at α 1.1 and develop structures in the α-dependence of the cross section at large transverse momenta. We neglected the Fermi motion of nucleon 2 since the elementary cross section (19) depends only weakly on the proton momentum (via the flux factors, screening- and antiscreening contributions) and is in leading order proportional to the square of the molecule wave function. At large kt or for large deviations of α from unity the ratio tends to the constant value
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