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arXiv · 1411.3424

Mass of Y(3940) in Bethe-Salpeter equation for quarks

Xiaozhao Chen·Xiaofu Lü
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Abstract

The general form of the Bethe-Salpeter wave functions for the bound states composed of two vector fields of arbitrary spin and definite parity is corrected. Using the revised general formalism, we investigate the observed \emph{Y}(3940) state which is considered as a molecule state consisting of $D^{*0}\bar{D}^{*0}$. Though the attractive potential between $D^{*0}$ and $\bar{D}^{*0}$ including one light meson ($σ$, $π$, $ω$, $ρ$) exchange is considered, we find that in our approach the contribution from one-$π$ exchange is equal to zero and consider SU(3) symmetry breaking. The obtained mass of \emph{Y}(3940) is consistent with the experimental value.

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Xiaozhao Chen, Xiaofu Lü. 2014-11-13. Mass of Y(3940) in Bethe-Salpeter equation for quarks. https://doi.org/10.1140/epjc%2Fs10052-015-3315-y

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