论文标题

$ x(7200)$是$ x(3872)$的重型反夸克对称合作伙伴吗?

Is $X(7200)$ the heavy anti-quark diquark symmetry partner of $ X(3872)$?

论文作者

Liu, Ming-Zhu, Geng, Li-Sheng

论文摘要

$ d^{(\ ast)}ξ_{cc}^{(\ ast)} $ system和$ \barξ_{cc}^{(\ ast)}ξ_{cc}^{cc}^{(\ ast)} $可以与$ d^{(\ ast)} \ bar {d}^{(\ ast)} $ system通过重型反Quark Di-Quark Symmetry(HADS)。在这项工作中,我们采用接触范围有效的现场理论来系统地研究这些系统中分子的可能存在,以假设x(3872)是$ 1^{++} $〜$〜$〜$ d \ bar {d}^{d}^{\ ast} $在issospin symmetry symmetry satured的限制下,使用了一些众所周知的saturant saturant opertime saturant in of Saturant saturant of Saturant saturant of never of never nibim sation。在Meson-Meson系统中,A $ J^{pc} = 2^{++} $〜$ \ bar {d}^{\ ast} d^{\ ast} $分子通常被重现为$ x(4013)$,这是$ x(4013)$,这是$ x(3872)$ x(3872)的重型Quark Spin panteral。在Meson-Baryon系统中,我们预测两个三重魅力的pentaquark分子,$ j^{p} = 1/2^{ - } $〜$〜$ d^{\ ast}ξ_ $ j^{p} = 5/2^{ - } $〜$ d^{\ ast}ξ_{cc}^{\ ast} $。在Baryon-Baryon系统中,存在七个Di-Baryon分子,$ J^{PC} = 0^{ - +} $〜$ \barξ_{cc} C}ξ_{cc} $,$ j^{pc} = 1^{ - } $ j^{pc} = 1^{ - +} $〜$ \barξ_{cc} $ j^{pc} = 2^{ - +} $〜$ \barξ_{cc}ξ_{cc}^{\ ast} $,$ j^{pc} = 2^{ - +} $} $〜$ \ bar bar bar bar bar) $ j^{pc} = 3^{ - } $〜$ \barξ_{cc}^{\ ast}ξ_{cc}^{\ ast} $。其中,$ j^{pc} = 0^{ - +} $〜$ \barξ_{cc}ξr这意味着$ x(7200)$可以通过hads与$ x(3872)$有关。作为副产品,使用浓重的夸克风味对称性,我们还研究了$ b^{(\ ast)} \ bar {b}^{(\ ast)} $,$ \ bar {b} $ \barξ_{bb}^{(\ ast)}ξ_{bb}^{(\ ast)} $ systems。

The $D^{(\ast)}Ξ_{cc}^{(\ast)}$ system and $\barΞ_{cc}^{(\ast)}Ξ_{cc}^{(\ast)}$ system can be related to the $D^{(\ast)}\bar{D}^{(\ast)}$ system via heavy anti-quark di-quark symmetry (HADS). In this work, we employ a contact-range effective field theory to systematically investigate the likely existence of molecules in these systems in terms of the hypothesis that X(3872) is a $1^{++}$~$D\bar{D}^{\ast}$ bound state in the isospin symmetry limit, with some of the unknown low energy constants estimated using the light-meson saturation approximation. In the meson-meson system, a $J^{PC}=2^{++}$~$\bar{D}^{\ast}D^{\ast}$ molecule commonly referred to as $X(4013)$ is reproduced, which is the heavy quark spin partner of $X(3872)$. In the meson-baryon system, we predict two triply charmed pentaquark molecules, $J^{P}=1/2^{-}$~$D^{\ast}Ξ_{cc}$ and $J^{P}=5/2^{-}$~$D^{\ast}Ξ_{cc}^{\ast}$. In the baryon-baryon system, there exist seven di-baryon molecules, $J^{PC}=0^{-+}$~$\barΞ_{cc}Ξ_{cc}$, $J^{PC}=1^{--}$~$\barΞ_{cc}Ξ_{cc}$, $J^{PC}=1^{-+}$~$\barΞ_{cc}Ξ_{cc}^{\ast}$, $J^{PC}=1^{--}$~$\barΞ_{cc}Ξ_{cc}^{\ast}$, $J^{PC}=2^{-+}$~$\barΞ_{cc}Ξ_{cc}^{\ast}$, $J^{PC}=2^{-+}$~$\barΞ_{cc}^{\ast}Ξ_{cc}^{\ast}$ and $J^{PC}=3^{--}$~$\barΞ_{cc}^{\ast}Ξ_{cc}^{\ast}$. Among them, the $J^{PC}=0^{-+}$~$\barΞ_{cc}Ξ_{cc}$ and/or $J^{PC}=1^{--}$~$\barΞ_{cc}Ξ_{cc}$ molecules may contribute to the $X(7200)$ state recently observed by the LHCb Collaboration, which implies that $X(7200)$ can be related to $X(3872)$ via HADS. As a byproduct, with the heavy quark flavor symmetry we also study likely existence of molecular states in the $B^{(\ast)}\bar{B}^{(\ast)}$, $\bar{B}^{(\ast)}Ξ_{bb}^{(\ast)}$, and $\barΞ_{bb}^{(\ast)}Ξ_{bb}^{(\ast)}$ systems.

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