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arXiv 1707.04031hep-phhep-ex
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用随机游动方法计算双粲重子质量和波函数

Doubly charmed baryon mass and wave function through a random walks method

B. O. Kerbikov

摘要:

用格林函数蒙特卡罗方法求解了具有Cornell势的三体问题,计算了双粲$Ξ^{++}_{cc}$(ccu)重子的质量和波函数.具有自旋$1/2$的$Ξ^{++}_{cc}$的质量与LHCb值非常一致。通过随机游走模拟波函数,得到了夸克-双夸克型的结构。$Ξ^{++}_{cc}$的半径比大的同位旋分裂所需的尺寸大得多。给出了对$Ω_{cc}$质量的预测。

英文摘要:

The mass and the wave function of doubly charmed $Ξ^{++}_{cc}$ (ccu) baryon are evaluated using Green Function Monte Carlo method to solve the three-body problem with Cornell potential. The mass of $Ξ^{++}_{cc}$ with spin $1/2$ is in a good agreement with the LHCb value. Simulation of the wave function by random walks resulted in a configuration of the quark-diquark type. The radius of $Ξ^{++}_{cc}$ is much larger than the size needed for a large isospin splitting. The prediction for the $Ω_{cc}$ mass is presented.

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