论文标题
faddeev固定中心近似$ d \ bar {d} k $系统和隐藏的魅力$ k_ {c \ bar {c}}}(4180)$ state
Faddeev fixed-center approximation to the $D\bar{D}K$ system and the hidden charm $K_{c\bar{c}}(4180)$ state
论文作者
论文摘要
我们对Faddeev方程的固定中心近似进行了对$ d \ bar {d} k $三体系统的理论研究,考虑到从手势统一的方法中的$ d $和$ k $,$ d $和$ d $和$ d $ d $和$ \ bar {d} $之间的相互作用。我们假设$ k $ meson的散射在聚集系统$ d \ bar {d} $上,可以形成标量梅森$ x(3720)$。多亏了强大的$ dk $相互作用,其中标量$ d^*_ {s0}(2317)$梅森是动态生成的,共鸣结构出现在三个身体$ k $ -k $ - $ - $(d \ bar {d})的模量平方中结果与以前的理论研究一致,该研究声称一种新的兴奋的隐藏式魅力$ k $ meson,$ k_ {c \ bar {c}}(4180)$,带有量子数量$ i(j^p)= \ frac {1} {1} {1} {2} {2} {2}(0^ - )$,大约$ 4180 $ MEV。预计这些理论结果会激发其在实验测量中的搜索。
We perform a theoretical study on the $D\bar{D}K$ three body system, using the fixed center approximation to the Faddeev equations, considering the interaction between $D$ and $K$, $D$ and $\bar{D}$ from the chiral unitary approach. We assume the scattering of $K$ meson on a clusterized system $D\bar{D}$, where a scalar meson $X(3720)$ could be formed. Thanks to the strong $DK$ interaction, where the scalar $D^*_{s0}(2317)$ meson is dynamically generated, a resonance structure shows up in the modulus squared of the three body $K$-$(D\bar{D})_{X(3720)}$ scattering amplitude and supports that a $D\bar{D}K$ bound state can be formed. The result is in agreement with previous theoretical studies, which claim a new excited hidden charm $K$ meson, $K_{c\bar{c}}(4180)$ with quantum numbers $I(J^P) = \frac{1}{2}(0^-)$ and mass about $4180$ MeV. It is expected that these theoretical results motivate its search in experimental measurements.