论文标题

轻和夸克对称以及$ y(4230)$,$ y(4360)$,$ y(4500)$,$ y(4620)$和$ x(4630)$共振

Light- and heavy-quark symmetries and the $Y(4230)$, $Y(4360)$, $Y(4500)$, $Y(4620)$ and $X(4630)$ resonances

论文作者

Peng, Fang-Zheng, Yan, Mao-Jun, Sánchez, Mario Sánchez, Valderrama, Manuel Pavon

论文摘要

重型强子频谱受对称性的约束,其中两个最重要的是夸克自旋和su(3) - 味道对称性。在这里,我们认为在分子图片中,$ y(4230)$(或$ y(4260)$),$ y(4360)$以及最近发现的$ y(4500)$和$ y(4620)$ y(4620)$ vector的共振,这两个符号与这两个符号链接。通过为$ d \ bar {d} _1 $和$ d_s \ bar {d} _ {s1} $ s-和p-wave Charmed Charmed Charmed Meson-Antimeson Systems的nater $ d \ bar {d} _1 $和$ d_s \ bar {d} _1 $和$ d_s \ bar {d} _1 $和$ d_s \ bar {d} _1 $和$ d_s \ bar {d} \ bar {d} _1 $具有类似于$ y(4360)$,$ d_s \ bar {d} _ {s1} $的质量的伴侣,其质量接近$ y(4500)$和三个$ j = 1,2 $ d_s^* $ d_s^* bar {d} d_ v \ bar {d} \ bar {d} _ {s2}^{*} $绑定状态,质量为$ 4630 \,{\ rm mev} $,其中第一个($ j = 1 $)可能与$ y(4620)$相对应。通过修改我们用来构建有效的现场理论的假设,可以改善先前的预测。特别是,如果我们考虑$ d^* \ bar {d} _1 $ - $ d^* \ bar {d} _2^* $和$ d_s^* \ bar {d} _ {s1} _ {s1} $ - $ d_s^* \ bar {d} _ \ bar {d} _ {d} _ {s2} _ { $ j = 2 $阳性C-Parity状态,质量约为$ 4650 \,{\ rm mev} $。 LHCB过去一年中发现的$ X(4630)$可能会在$ j/ψϕ $不变质量分布中发现的$ x(4630)$来识别这种隐藏的trange和隐藏状态。

The heavy hadron spectrum is constrained by symmetries, of which two of the most important ones are heavy-quark spin and SU(3)-flavor symmetries. Here we argue that in the molecular picture the $Y(4230)$ (or $Y(4260)$), the $Y(4360)$ and the recently discovered $Y(4500)$ and $Y(4620)$ vector-like resonances are linked by these two symmetries. By formulating a contact-range effective field theory for the $D \bar{D}_1$ and $D_s \bar{D}_{s1}$ family of S- and P-wave charmed meson-antimeson systems, we find that if the $Y(4230)$ were to be a pure $D \bar{D}_1$ molecular state, there would be a $D^* \bar{D}_1$ partner with a mass similar to the $Y(4360)$, a $D_s \bar{D}_{s1}$ partner with a mass close to the $Y(4500)$ and three $J=1,2$ $D_s^* \bar{D}_{s1}$ and $J=3$ $D_s^* \bar{D}_{s2}^{*}$ bound states with a mass in the vicinity of $4630\,{\rm MeV}$, of which the first one ($J=1$) might correspond with the $Y(4620)$. The previous predictions can in turn be improved by modifying the assumptions we have used to build the effective field theory. In particular, if we consider the closeness of the $D^* \bar{D}_1$-$D^* \bar{D}_2^*$ and $D_s^* \bar{D}_{s1}$-$D_s^* \bar{D}_{s2}^*$ thresholds and include the related coupled channel dynamics, we predict a $J=2$ positive C-parity state with a mass around $4650\,{\rm MeV}$. This hidden-strange and hidden-charm state might in turn be identified with the $X(4630)$ that has been discovered past year by the LHCb in the $J/ψϕ$ invariant mass distribution.

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