论文标题
重新访问$ dd^\ ast $手性相互作用与本地动量空间正则化至第三阶和$ t_ {cc}^+$的性质
Revisiting the $DD^\ast$ chiral interactions with the local momentum-space regularization up to the third order and the nature of $T_{cc}^+$
论文作者
论文摘要
我们重新审视手性有效领域理论中的$ dd^\ ast $交互作用，直至第一次。我们通过局部动量空间正则化处理了触发的交互作用，在这种情况下，我们将重点放在他们的远程行为上，要求其贡献在坐标空间中的来源上消失。用现象学共振饱和度模型估算了短程接触相互作用和转向锥形锥形的介子耦合。带有锥形的锥形介子耦合比Pion-Nucleon系统中的媒介耦合要弱得多，因此$ dd^\ ast $ binding机制与$ nn $系统的结合机制大不相同。我们还获得了坐标空间中两杆式交换相互作用的分析结构，并且我们发现其长距离的渐近行为与$ nn $相互作用相似，但略有不同。我们从HAL QCD方法中获得了两杆交换交互的相同渐近行为，但以较长的距离出现，而不是$ 1 <r <2 \ text {fm} $。结合溶液仅存在于等轴渠道中。我们的计算支持$ t_ {cc}^+$的分子解释。
We revisit the $DD^\ast$ interactions in chiral effective field theory up to the third order for the first time. We deal with the pion-exchanged interactions via local momentum-space regularization, in which we focus on their long-range behaviors through demanding their contributions vanish at the origin in the coordinate space. The short-range contact interactions and subleading pion-charmed meson couplings are estimated with the phenomenological resonance saturation model. The subleading pion-charmed meson couplings are much weaker than those in the pion-nucleon system, thus the $DD^\ast$ binding mechanism is very different with that of the $NN$ system. We also obtain the analytic structure of the two-pion exchange interactions in the coordinate space, and we find that its asymptotic behavior at long distance is similar to but slightly different with the $NN$ interactions. We get the same asymptotic behavior of the two-pion exchange interaction with that from HAL QCD method but appearing in the longer distance rather than $1 <r<2\text{ fm}$. The binding solution only exists in the isoscalar channel. Our calculation supports the molecular interpretation of $T_{cc}^+$.
