用Glozman-Riska超精细相互作用计算$c q \bar{q} \bar{q}$四夸克态的质量和混合
Masses and Mixing of $c q \bar{q} \bar{q}$ Tetraquarks Using Glozman-Riska Hyperfine Interaction
摘要：
本文详细研究了单个粲纯量四夸克$c q \bar{q} \bar{q}$的质量和混合。我们还用重量图、量子数和味波函数对这些四夸克态进行了系统的分析。四夸克态质量的计算使用四种不同的拟合。讨论了下列SU（3）$_\mathrm{F}$表示：$\bar{15}_\mathrm{S}$，$\bar{3}_\mathrm{S}$，$6_\mathrm{A}$和$\bar{3}_\mathrm{A}$ .我们使用SU（3）味对称破缺的味旋Glozman-Riska相互作用哈密顿量。有27种不同的四夸克组成的魅力夸克$c$和三种轻口味的$u, d, s$：11隐奇异（3 D $_\mathrm{s}^{+}$，4 D $^{+}$，4 D $^{0}$）和16显奇异状态.我们讨论了D $_\mathrm{s}$和它的同位旋伙伴在同一多重态，以及所有其他四夸克态。在$\bar{15}_\mathrm{S}$表象中，出现了与D $_\mathrm{s}^{+}$（2632）质量相同的显式奇异态，在$6_\mathrm{A}$表象中，出现了与D $_\mathrm{s}^{+}$（2317）质量相同的显式奇异态，证实了这些奇异态的四夸克态性质.
英文摘要：
In this paper we perform a detailed study of the masses and mixing of the single charmed scalar tetraquarks: $c q \bar{q} \bar{q}$. We also give a systematic analysis of these tetraquark states by weight diagrams, quantum numbers and flavor wave functions. Tetraquark masses are calculated using four different fits. The following SU(3)$_\mathrm{F}$ representations are discussed: $\bar{15}_\mathrm{S}$, $\bar{3}_\mathrm{S}$, $6_\mathrm{A}$ and $\bar{3}_\mathrm{A}$. We use the flavor-spin Glozman-Riska interaction Hamiltonian with SU(3) flavor symmetry breaking. There are 27 different tetraquarks composed of a charm quark $c$ and of the three light flavors $u, d, s$: 11 cryptoexotic (3 D$_\mathrm{s}^{+}$, 4 D$^{+}$, 4 D$^{0}$) and 16 explicit exotic states. We discuss D$_\mathrm{s}$ and its isospin partners in the same multiplet, as well as all the other four-quark states. Some explicit exotic states appear in the spectrum with the same masses as D$_\mathrm{s}^{+}$(2632) in $\bar{15}_\mathrm{S}$ and with the same masses as D$_\mathrm{s}^{+}$(2317) in $6_\mathrm{A}$ representation, which confirm the tetraquark nature of these states.
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