6533b7d6fe1ef96bd12659c5

RESEARCH PRODUCT

Line shape and D(*)D¯(*) probabilities of ψ(3770) from the e+e−→DD¯ reaction

Q.x. YuQ.x. YuW.h. LiangMelahat BayarEulogi OsetEulogi Oset

subject

PhysicsAngular momentumMeson010308 nuclear & particles physicsForm factor (quantum field theory)PropagatorFunction (mathematics)Coupling (probability)01 natural sciences0103 physical sciencesVector meson010306 general physicsWave functionMathematical physics

description

We have performed a calculation of the DD¯, DD¯*, D*D¯, D*D¯* components in the wave function of the ψ(3770). For this we make use of the P03 model to find the coupling of ψ(3770) to these components, that with an elaborate angular momentum algebra can be obtained with only one parameter. Then we use data for the e+e-→DD¯ reaction, from where we determine a form factor needed in the theoretical framework, as well as other parameters needed to evaluate the meson-meson self-energy of the ψ(3770). Once this is done we determine the Z probability to still have a vector core and the probability to have the different meson components. We find Z about 80%–85%, and the individual meson-meson components are rather small, providing new empirical information to support the largely qq¯ component of vector mesons, and the ψ(3770) in particular. A discussion is done of the meaning of the terms obtained for the case of the open channels where the concept of probability cannot be strictly used.

https://doi.org/10.1103/physrevd.99.076002