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• W2475593268 abstract "We discuss the internal structure of radially excited charmonium mesons based on the equal-time and Coulomb gauge Bethe-Salpeter (BS) amplitudes, which are obtained in lattice QCD. Our simulations are performed with a relativistic heavy-quark action for the charm quark on the 2+1 flavor PACS-CS gauge configurations at the lightest pion mass, $M_{pi}=156(7)$ MeV. The variational method is applied to the study of optimal charmonium operator for ground and first excited states of $S$-wave charmonia. We successfully calculate the BS wave functions of $eta_c(2S)$ and $psi(2S)$ states, as well as $eta_c(1S)$ and $J/psi$ states, and then estimate the root-mean-square radii of both the $1S$ and $2S$ charmonium states. We also examine whether a series of the BS wave functions from the ground state to excited states can be described by a single set of the spin-independent and spin-dependent interquark potentials with a unique quark mass. It is found that the quark kinetic mass and, both the central and spin-spin charmonium potentials, determined from the $2S$ wave functions, fairly agree with the ones from the $1S$ wave functions. This strongly supports the validity of the potential description for the charmonium system, at least, below open-charm threshold." @default.
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• W2475593268 date "2016-12-23" @default.
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• W2475593268 title "Bethe-Salpeter wave functions of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msub><mml:mi>η</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mo stretchy=false>(</mml:mo><mml:mn>2</mml:mn><mml:mi>S</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math> and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>ψ</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mn>2</mml:mn><mml:mi>S</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math> …" @default.
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• W2475593268 doi "https://doi.org/10.1103/physrevd.94.114514" @default.
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