Hadronic Transitions among Quarkonium States in a Soft-Exchange-Approximation. Chiral Breaking and Spin Symmetry Breaking Processes

Abstract

Although no asymptotic heavy quark spin symmetry, and even more no flavor symmetry, are expected for systems such as quarkonium, a numerical discussion shows that for some processes and in a preasymptotic region which may roughly include charmonium and bottomonium, the use of the spin-symmetry may be useful in conjunction with chiral symmetry for light hadrons (soft-exchange- approximation regime, SEA). We continue our discussion of hadronic transitions in the SEA-regime by studying in particular chiral breaking transitions such as ${}^3{P}^{\prime }\to {}^{3}P{\pi }^0$, ${}^{3}P\eta$, level splittings and transitions which break both chiral and spin symmetry, such as ${\psi }^{\prime }\to J/\psi {\pi }^0$, $J/\psi \eta$, and ${}^1{P}_1\to J/\psi {\pi }^0$.

LaTeX (style article) 19 pages, UGVA-DPT 12-801

Cited by in corpus (25)

• Phenomenology of Heavy Meson Chiral Lagrangians
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• Effect of charmed meson loops on charmonium transitions
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• Radiative Decays X(3872) -> psi(2S)+gamma and psi(4040) -> X(3872)+gamma in Effective Field Theory
• Novel analysis of the decays psi' -> h_c pi^0 and eta_c'-> chi_{c0} pi^0
• Weak decays of doubly heavy hadrons
• ψ(2S) Decays into $\J$ plus Two Photons
• Modeling Charmonium-$\eta$ Decays of $J^{PC}=1^{--}$ Higher Charmonia
• Using $X(3823)\to J/\psi {\pi }^{+}{\pi }^{-}$ to identify coupled-channel effects
• Extracting the light quark mass ratio m_u/m_d from bottomonia transitions
• Search for missing $\psi (4S)$ in the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\psi (2S)$ process
• Understanding $B^{-}\to X(3823)K^{-}$ via rescattering mechanism and predicting $B^{-}\to {\eta }_{c2}{(}^1{D}_2)/{\psi }_3{(}^3{D}_3)K^{-}$
• Novel implementation of the multipole expansion to quarkonium hadronic transitions
• Errors in Lattice Extractions of alpha_s Due to Use of Unphysical Pion Masses
• Analysis of the radiative decays among the charmonium states
• Production of $P-$wave charmed and charmed-strange mesons in pion and kaon induced reactions
• Relations among $B_c\to J/\psi ,{\eta }_c$ form factors
• Production mechanism of hidden-charm pentaquark states $P_{c\bar{c}s}$ with strangeness $S=-1$
• Semileptonic $B_c$ decays to $P-$wave charmonium and the nature of ${\chi }_{c1}(3872)$
• Analysis of the radiative decays among the bottomonium states
• Analysis of the vector meson transitions among the heavy quarkonium states
• Analysis of the decays ${\psi }^{\prime }\to J/\psi {\pi }^{+}{\pi }^{-}$ and ${\eta }_c^{\prime }\to {\eta }_c{\pi }^{+}{\pi }^{-}$ with the heavy quark symmetry
• ${\rm Y}(4S)\to B^0\overline{B^0}\gamma$ Background at B-Factories
• Heavy Quark Hadronic Lagrangian for S-wave Quarkonium