Line shape and D(*)D¯(*

Abstract

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 3 P 0 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 frame work, as well as other parameters needed to evaluate the meson-meson selfenergy 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.

ϒ(nl) decay into B(⁎)B¯(⁎

“…where the coefficients g Ri are evaluated with the 3 P 0 model in Ref. [20]. The q 0 integration is done analytically and we find…”

“…We follow here the formalism used in Refs. [20,21]. For this we use the 3 P 0 model to hadronize the bb vector state and generate two B ( * )B( * ) mesons, as shown in Fig.…”

“…The details of the angular momentum algebra involved are shown in Ref. [20], and relative weights for P P, P V, V P, V V production are obtained to which we shall come back below.…”

“…where A is an arbitrary constant to be fitted to the data and g Ri are weights for the different B i B i ′ states which are evaluated using the 3 P 0 model in Ref. [20]. Eq.…”

Analysis of the $$\psi (4040)$$ and $$\psi (4160)$$ decay into $$D^{(*)} {{\bar{D}}}^{(*)}$$, $$D_s^{(*)}{{\bar{D}}}_s^{(*)}$$

“…s production by means of the 3 P 0 model used in the paper of Ref. [15]. In this model one uses the most basicqq configuration that provides theqq state with vacuum quantum numbers.…”