论文标题

$ dk $ $ i = 0,$ $ d \ bar {k} $ i = 0,1 $散射和$ d_ {s0}^\ ast(2317)$来自lattice qcd

$DK$ $I=0,$ $D\bar{K}$ $I=0,1$ scattering and the $D_{s0}^\ast(2317)$ from lattice QCD

论文作者

Cheung, Gavin K. C., Thomas, Christopher E., Wilson, David J., Moir, Graham, Peardon, Michael, Ryan, Sinéad M.

论文摘要

$ i = 0 $ $ dk $的弹性散射振幅和$ i = 0,1 $ $ $ d \ bar {k} $以$ s $,$ p $和$ d $ d $ partial waves计算,使用带有Light-quark Masses的lattice QCD,其相对应$M_π= 239 $ MEV = 239 $ MEV和$M_π= 391 $ MEV。 The $S$-waves contain interesting features including a near-threshold $J^P=0^+$ bound state in $I=0$ $DK$, corresponding to the $D_{s0}^\ast(2317)$, with an effect that is clearly visible above threshold, and suggestions of a $0^+$ virtual bound state in $I=0$ $D\bar{K}$. $ s $ - 波$ i = 1 $ $ d \ bar {k} $振幅被认为是弱的。计算的有限体积光谱还包含一个深度结合的$ d^\ ast $向量共振,但在所考虑的能量区域中观察到了可忽略的小$ p $ - 波$ dk $ dk $互动; $ p $和$ d $ -wave $ d \ bar {k} $振幅也很小。有一些证据表明$ 1^+$和$ 2^+$ $ i = 0 $ $ $ dk $在更高的能量中。

Elastic scattering amplitudes for $I=0$ $DK$ and $I=0,1$ $D\bar{K}$ are computed in $S$, $P$ and $D$ partial waves using lattice QCD with light-quark masses corresponding to $m_π= 239$ MeV and $m_π= 391$ MeV. The $S$-waves contain interesting features including a near-threshold $J^P=0^+$ bound state in $I=0$ $DK$, corresponding to the $D_{s0}^\ast(2317)$, with an effect that is clearly visible above threshold, and suggestions of a $0^+$ virtual bound state in $I=0$ $D\bar{K}$. The $S$-wave $I=1$ $D\bar{K}$ amplitude is found to be weakly repulsive. The computed finite-volume spectra also contain a deeply-bound $D^\ast$ vector resonance, but negligibly small $P$-wave $DK$ interactions are observed in the energy region considered; the $P$ and $D$-wave $D\bar{K}$ amplitudes are also small. There is some evidence of $1^+$ and $2^+$ resonances in $I=0$ $DK$ at higher energies.

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