论文标题
激动的$ k $ meson，$ k_c（4180）$，带有隐藏符为$ d \ bar {d} k $绑定状态
Excited $K$ meson, $K_c(4180)$, with hidden charm as a $D\bar{D}K$ bound state
论文作者
论文摘要
由于最近在$ b^+\ rightArrow d^+d^-k^+$衰减中，我们通过使用高斯扩展方法来求解schrödinger方程来研究$ d \ bar {d} k $三体系统的动机。我们表明，$ d \ bar {d} k $系统可以与量子数字$ i（j^p）= \ frac {1} {1} {2} {2}（0^ - ）$和$ b_3（d \ bar {d} k）= 48.9^{+1.4} {+1.4} _ { - 2.4} _ { - 2.4} $ MEV的绑定能量。它可以通过三角图衰减到$ j/ψk$和$ d_s \ bar {d}^*$，产生约1 meV的部分衰减宽度。结果，如果被发现，它将对迄今为止和非扰动QCD发现的许多异国情调的哈德子的性质进行高度非平凡的检查。假设有重夸克自旋对称性，同样的形式主义也适用于研究$ d \ bar {d}^*k $系统，该系统也显示出与量子数字$ i（j^p）= \ frac {1} {2} {2} {2}（1^ - ）$结合，$ 77.3^{+3.1} _ { - 6.6} $ MEV，与以前的作品的结果一致。
Motivated by the recent discovery of two new states in the $B^+\rightarrow D^+D^-K^+$ decay by the LHCb Collaboration, we study the $D\bar{D}K$ three-body system by solving the Schrödinger equation with the Gaussian Expansion Method. We show that the $D\bar{D}K$ system can bind with quantum numbers $I(J^P)=\frac{1}{2}(0^-)$ and a binding energy of $B_3(D\bar{D}K)=48.9^{+1.4}_{-2.4}$ MeV. It can decay into $J/ψK$ and $D_s\bar{D}^*$ via triangle diagrams, yielding a partial decay width of about 1 MeV. As a result, if discovered, it will serve as a highly nontrivial check on the nature of the many exotic hadrons discovered so far and on non-perturbative QCD as well. Assuming heavy quark spin symmetry, the same formalism is applied to study the $D\bar{D}^*K$ system, which is shown to also bind with quantum numbers $I(J^P)=\frac{1}{2}(1^-)$ and a binding energy of $B_3(D\bar{D}^*K)\simeq 77.3^{+3.1}_{-6.6}$ MeV, consistent with the results of previous works.
