论文标题
faddeev固定中心近似$ηk^*\ bar {k}^*$，$πk^*\ bar {k}^*$ and $ kk^*\ bar {k}^*$ systems
Faddeev fixed-center approximation to the $ηK^*\bar{K}^*$, $πK^*\bar{K}^*$ and $KK^*\bar{K}^*$ systems
论文作者
论文摘要
三体$ηk^*\ bar {k}^*$，$πk^*\ bar {k}^*$ and $ kk^*\ bar {k}^*$系统在固定中心近似的框架内与faddeev equations的固定中心近似框架中进行了研究，其中$ k^*\ bar bar {k^*$ stricate $ stricate $ stricate $ strace n scord $ nats $ nats $ f.als $ n.ys $ f _ son $ n.ys $ f _ sone $ n.ys。 $π$，$η$，$ k $和$ k^*$之间的相互作用来自手性统一方法。通过将$η$中的分散在簇的$（k^*\ bar {k}^*）_ {f_0（1710）} $系统中，我们发现模量平方的峰与三体散射幅度平方，并且可以与量子数字$ i^g（j^g（j^g（j^pc} pc}）$ i^g（pc}）$（0^0^0^0^+）。它的质量和宽度分别为2054 MEV和60 MEV。该状态可能与$η（2100）$ Meson相关。对于$π（k^*\ bar {k}^*）_ {f_0（1710）} $散射，我们在1900-2000 MEV左右找到带量子数量$ 1^ - （{0^{ - +}}}）$的凹凸结构。对于$ k k^* \ bar {k}^*）_ {f_0（1710）} $ system，有三个结构。其中一个是稳定的，其质量约为2130 MEV。可以预期，这些理论预测可以通过未来的实验测量来测试，例如BESIII，Belleii和LHCB合作。
The three-body $ηK^*\bar{K}^*$, $πK^*\bar{K}^*$ and $KK^*\bar{K}^*$ systems are investigated within the framework of fixed-center approximation to the Faddeev equations, where $K^*\bar{K}^*$ is treated as the scalar meson $f_0(1710)$. The interactions between $π$, $η$, $K$ and $K^*$ are taking from the chiral unitary approach. By scattering the $η$ meson on the clusterized $(K^*\bar{K}^*)_{f_0(1710)}$ system, we find a peak in the modulus squared of the three-body scattering amplitude and it can be associated as a bound state with quantum numbers $I^G(J^{PC})=0^+(0^{-+})$. Its mass and width are around 2054 MeV and 60 MeV, respectively. This state could be associated to the $η(2100)$ meson. For the $π(K^*\bar{K}^*)_{f_0(1710)}$ scattering, we find a bump structure around 1900-2000 MeV with quantum numbers $1^-({0^{-+}})$. While for the $K K^* \bar{K}^*)_{f_0(1710)}$ system, there are three structures. One of them is much stable and its mass is about 2130 MeV. It is expected that these theoretical predictions here could be tested by future experimental measurements, such as by the BESIII, BelleII and LHCb collaborations.
