Starting from 2003, a large number of the so-called exotic hadrons, such as X(3872) and \(D_{s0}^*(2317)\), were discovered experimentally. Since then, understanding the nature of these states has been a central issue both theoretically and experimentally. As many of these states are located close to two hadron thresholds, they are believed to be molecular states or at least contain large molecular components. We argue that if they are indeed molecular states, in the way that the deuteron is a bound state of proton and neutron, then molecular states of three or more hadrons are likely, in the sense that atomic nuclei are bound states of nucleons. Following this conjecture, we study the likely existence of DDK, \(D{\bar{D}}K\), and \(D{\bar{D}}^{*}K\) molecular states. We show that within the theoretical uncertainties of the two-body interactions deduced, they most likely exist. Furthermore, we predict their strong decays to help guide future experimental searches. In addition, we show that the same approach can indeed reproduce some of the known three-body systems from the two-body inputs, such as the deuteron-triton and the \(\varLambda (1405)\)-\({\bar{K}}NN\) systems.

从2003年开始，实验发现了大量所谓的奇异强子，如X (3872)和\(D_{s0}^*(2317)\)。从那时起，理解这些状态的性质一直是理论上和实验上的核心问题。由于这些状态中的许多状态靠近两个强子阈值，因此它们被认为是分子状态或至少包含大分子成分。我们认为，如果它们确实是分子态，就像氘是质子和中子的束缚态一样，那么三个或更多强子的分子态很可能是，从原子核是核子的束缚态的意义上说。根据这个猜想，我们研究了DDK的可能存在性，\(D{\bar{D}}K\)，和\(D{\bar{D}}^{*}K\)分子态。我们表明，在推导出的两体相互作用的理论不确定性中，它们很可能存在。此外，我们预测它们的强衰减以帮助指导未来的实验搜索。此外，我们表明相同的方法确实可以从二体输入中重现一些已知的三体系统，例如氘核和\(\varLambda (1405)\) - \({\bar {K}}NN\)系统。