Title: Binding of the three-hadron DD^{*}K system from the lattice effective field theory Show Chinese title

Title: 三重强子 DD^{*}K 系统的格点有效场论结合

Abstract: We employ the nuclear lattice effective field theory (NLEFT), an efficient tool for nuclear ab initio calculations, to solve the asymmetric multi-hadron systems. We take the $DD^*K$ three-body system as an illustration to demonstrate the capability of the method. Here the two-body chiral interactions between $D$, $D^*$ and $K$ are regulated with a soft lattice regulator and calibrated with the binding energies of the $T_{cc}^+$, $D^{*}_{s0}(2317)$ and $D_{s1}(2460)$ molecular states. We then calculate the three-body binding energy using the NLEFT and analyze the systematic uncertainties due to the finite volume effects, the sliding cutoff and the leading-order three-body forces. Even when the three-body interaction is repulsive (even as large as the infinite repulsive interaction), the three-body system has a bound state unambiguously with binding energy no larger than the $D_{s1}(2460)D$ threshold. To check the renormalization group invariance of our framework, we extract the first excited state. We find that when the ground state is fixed, the first excited states with various cutoffs coincide with each other when the cubic size goes larger. In addition, the standard angular momentum and parity projection technique is implemented for the quantum numbers of the ground and excited states. We find that both of them are S-wave states with quantum number $J^{P}=1^-$. Because the three-body state contains two charm quarks, it is easier to be detected in the Large Hadron Collider. Show Chinese abstract

Abstract: 我们采用核晶格有效场论（NLEFT），一种用于核从头计算的有效工具，来解决不对称多强子系统。 我们以$DD^*K$三体系统为例，以展示该方法的能力。 在这里，$D$、$D^*$和$K$之间的两体手征相互作用通过软晶格调节器进行调节，并通过$T_{cc}^+$、$D^{*}_{s0}(2317)$和$D_{s1}(2460)$分子态的结合能进行校准。 然后我们使用 NLEFT 计算三体结合能，并分析由于有限体积效应、滑动截断和一阶三体力引起的系统不确定性。 即使三体相互作用是排斥的（甚至大到无限排斥相互作用），三体系统有一个明确的束缚态，结合能不超过$D_{s1}(2460)D$阈值。 为了检验我们框架的重整化群不变性，我们提取了第一激发态。 我们发现当基态固定时，随着立方尺寸增大，不同截断下的第一激发态彼此一致。 此外，对基态和激发态的量子数实施了标准的角动量和宇称投影技术。 我们发现它们都是具有量子数$J^{P}=1^-$的S波态。 由于三体态包含两个魅夸克，因此在大型强子对撞机中更容易被探测到。