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arXiv 1909.01715hep-ph
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从相似重整化群的观点看$ππ$散射

$ππ$ scattering from a similarity renormalization group perspective

María Gómez-Rocha, Enrique Ruiz Arriola

摘要:

基于相似性重整化群的威尔逊方法$ππ$散射分析的$JI=$ 00,11和02通道的动量空间中的最大CM能量为$\sqrt{s}=1.4$ GeV。我们通过在Kadyschevsky方案中的Bethe-Salpeter方程的3D约化来识别哈密顿量。我们提出了一种新的方法来整合的SRG方程的基础上的Crank-Nicolson算法与单步有限差分,使等谱保持在任何步骤的计算。我们讨论的问题上的高动量尾巴目前在拟合的相互作用阻碍计算。

英文摘要:

A Wilsonian approach based on the Similarity Renormalization Group to $ππ$ scattering is analyzed in the $JI=$00, 11 and 02 channels in momentum space up to a maximal CM energy of $\sqrt{s}=1.4$ GeV. We identify the Hamiltonian by means of the 3D reduction of the Bethe-Salpeter equation in the Kadyschevsky scheme. We propose a new method to integrate the SRG equations based in the Crank-Nicolson algorithm with a single step finite difference so that isospectrality is preserved at any step of the calculations. We discuss issues on the high momentum tails present in the fitted interactions hampering calculations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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