论文标题
Triple-X及以后：三个及以上X的HADRONIC系统（3872）
Triple-X and beyond: hadronic systems of three and more X(3872)
论文作者
论文摘要
$ x（3872）$共振已被认为是$ j^{pc} = 1^{++} $ charm meson-antimeson两体分子。同时，没有实验证据表明，多种魅力梅森 - 抗时光对的较大，几个物体化合物类似于较大的分子或核。在这里，我们研究了从理论上从未充电的$ d^{0} $和$ d^{*0} $ mesons中的相互作用中推导的范围。从分子$ x（3872）$中，我们预测$ 4X $（$ 4^{++} $）八分光器，带有具有约束力的能量\ mbox {$ b_ {4x}> 2.08 \，{\ rm mev} $，假设$ d^0} $ limitiand limitiand limited to $ bar {*0 limity（ $ x（3872）$）。如果我们明确考虑重音旋转对称性，则$ d^{*0} \ bar {d}^{*0} $（$ 2^{++} $）系统也接近unitarity。在这种情况下，我们预测$ 3X $（$ 3^{++} $）hexamer，hexamer，$ b_ {3x}> 2.29 \，{\ rm mev} $，$ 4X $ octAmer，$ b_ {4x}> 11.21> 11.21 \，{\ rm mev rm mev} $。这些结果用hadronic分子体现了相等的两种物种的更通用现象，该现象由两种类型的数量组成：未结合的四个和六个玻色子簇的出现在短距离两体相互作用的极限下仅在不同物种之间起作用。最后，我们还研究了$ 2X $（$ 2^{++} $）可能形成的条件。
The $X(3872)$ resonance has been conjectured to be a $J^{PC} = 1^{++}$ charm meson-antimeson two-body molecule. Meanwhile, there is no experimental evidence for larger, few-body compounds of multiple charm meson-antimeson pairs which would resemble larger molecules or nuclei. Here, we investigate such multi-meson states to the extent of what can be deduced theoretically from essentials of the interaction between uncharged $D^{0}$ and $D^{*0}$ mesons. From a molecular $X(3872)$, we predict a $4X$ ($4^{++}$) octamer with a binding energy \mbox{$B_{4X} > 2.08\,{\rm MeV}$,} assuming a $D^{*0} \bar{D}^0$ system close to the unitary limit (as suggested by the mass of the $X(3872)$). If we consider heavy-quark spin symmetry explicitly, the $D^{*0} \bar{D}^{*0}$ ($2^{++}$) system is close to unitarity, too. In this case, we predict a bound $3X$ ($3^{++}$) hexamer with $B_{3X} > 2.29\,{\rm MeV}$ and a more deeply bound $4X$ octamer with $B_{4X} > 11.21\,{\rm MeV}$. These results exemplify with hadronic molecules a more general phenomenon of equal-mass two-species Bose systems comprised of equal number of either type: the emergence of unbound four- and six-boson clusters in the limit of a short-range two-body interaction which acts only between bosons of different species. Finally, we also study the conditions under which a $2X$ ($2^{++}$) tetramer might form.
