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Role of QCD compositeness in the production of scalar and tensor mesons through single-photon annihilation e + e − → γ* → γ S(T) A. G. Chumakov, T. Gutsche, V. E. Lyubovitskij, I. Schmidt

Contributor(s): Chumakov, Alexandr G | Lyubovitskij, Valery E | Schmidt, Ivan A | Gutsche, ThomasMaterial type: ArticleArticleSubject(s): однофотонная аннигиляция | мезоны | тетракварки | адроныGenre/Form: статьи в журналах Online resources: Click here to access online In: Physical Review D Vol. 96, № 9. P. 094018-1-094018-6Abstract: We study the exclusive production of scalar S=0++ and tensor T=2++ mesons through single-photon annihilation e+e−→γ∗→γS(T). Using QCD compositeness of the involved hadrons considered as quark-antiquark systems, the prediction for the scaling of the differential cross sections of these processes is dσ/dt∼1/s3 at large s. We further derive the scaling of the γ∗→γS and γ∗→γT transition form factors: Fγ∗γS(s)∼1/s and Fγ∗γT(s)∼1/s2. Results for the respective cross sections of the scalar and tensor meson production are presented. Note, when scalar and tensor mesons are considered as tetraquark systems of two tightly bound color diquarks, corresponding to them transition form factors and differential cross sections have the same falloffs as in case of quark-antiquark picture. For other tetraquark or two-hadron molecules configurations the transition form factors Fγ∗γS(T)(s) and the differential cross section dσ/dt have additional 1/s and 1/s2 falloffs, respectively.
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We study the exclusive production of scalar S=0++ and tensor T=2++ mesons through single-photon annihilation e+e−→γ∗→γS(T). Using QCD compositeness of the involved hadrons considered as quark-antiquark systems, the prediction for the scaling of the differential cross sections of these processes is dσ/dt∼1/s3 at large s. We further derive the scaling of the γ∗→γS and γ∗→γT transition form factors: Fγ∗γS(s)∼1/s and Fγ∗γT(s)∼1/s2. Results for the respective cross sections of the scalar and tensor meson production are presented. Note, when scalar and tensor mesons are considered as tetraquark systems of two tightly bound color diquarks, corresponding to them transition form factors and differential cross sections have the same falloffs as in case of quark-antiquark picture. For other tetraquark or two-hadron molecules configurations the transition form factors Fγ∗γS(T)(s) and the differential cross section dσ/dt have additional 1/s and 1/s2 falloffs, respectively.

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