Couplings between pion and charmed mesons

Abstract

We compute the couplings $D{D}^{\ast }\pi$,$D_1{D}^{\ast }\pi$,$D^{\ast }{D}^{\ast }\pi$, $D_1{D}_1\pi$ using QCD sum rules. These couplings are important inputs in the meson exchange model calculations used to estimate the amount of $J/\psi$ absorption due to pions and rho mesons in heavy ion collisions. Our sum rules are constructed at the first order in the pion momentum $p_{\mu }$, which give the couplings that are not trivially related to the soft-pion theorem. Our calculated couplings, which somewhat depend upon the values of the heavy meson decay constants, are $g_{D{D}^{\ast }\pi }=8.2\pm 0.1$, $g_{D_1{D}^{\ast }\pi }=15.8\pm 2\mathrm{GeV}$, $g_{D^{\ast }{D}^{\ast }\pi }=0.3\pm 0.03$ and $g_{D_1{D}_1\pi }=0.17\pm 0.04$.

16 pages including 4 postscript figures. To be published in European Physical Journal C

Cited by in corpus (11)

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• Progress in the determination of the $J/\psi -\pi$ cross section
• $J/\psi$ dissociation by pions in QCD
• Strong decay of the heavy tensor mesons with QCD sum rules
• Coupling constants of bottom (charmed) mesons with pion from three point QCD sum rules
• Analysis of hadronic coupling constants $G_{B_c^{\ast }{B}_c{\rm Y}}$, $G_{B_c^{\ast }{B}_{c}J/\psi }$, $G_{B_c{B}_c{\rm Y}}$ and $G_{B_c{B}_{c}J/\psi }$ with QCD sum rules
• The strong vertices of charmed mesons $D$, $D^{\ast }$ and charmonia $J/\psi$, ${\eta }_c$
• Charm meson couplings in hard-wall Holographic QCD
• Masses and decay widths of scalar $D_0$ and $D_{s0}$ mesons in strange hadronic medium
• The strong vertices of bottom mesons $B$, $B^{\ast }$ and bottomonia ${\rm Y}$, ${\eta }_b$