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arXiv 1012.5685hep-lat
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格点量子色动力学研究(S,I)=(-2,0)系统中重子-重子相互作用

Lattice QCD study of baryon-baryon interactions in the (S,I)=(-2,0) system using the coupled-channel formalism

Sasaki for HAL QCD collaboration

摘要:

本文从格点量子色动力学出发,研究了具有奇异$S=-2$和I=0系统的重子-重子相互作用。为了求解这个系统,我们为汇准备了三种重子-重子算符($Λ-Λ$,$N-Ξ$和$Σ-Σ$),并构造了三种对角化$3\times3$关联矩阵的源算符。将预备的汇算子与对角化的源算子相结合,得到了九个有效的Nambu-Bethe-Salpeter(NBS)波函数。通过求解耦合沟道薛定谔方程计算了$3\times3$势矩阵。通过与SU(3)极限计算结果的比较,讨论了势矩阵的味SU(3)破缺效应。我们的数值结果是从CP-PACS/JLQCD合作组提供的三组2+1味QCD规范位形中得到的。

英文摘要:

We investigate baryon-baryon interactions with strangeness $S=-2$ and isospin I=0 system from Lattice QCD. In order to solve this system, we prepare three types of baryon-baryon operators ($Λ-Λ$, $N-Ξ$ and $Σ-Σ$) for the sink and construct three source operators diagonalizing the $3\times3$ correlation matrix. Combining of the prepared sink operators with the diagonalized source operators, we obtain nine effective Nambu-Bethe-Salpeter (NBS) wave functions. The $3\times3$ potential matrix is calculated by solving the coupled-channel Schrödinger equation. The flavor SU(3) breaking effects of the potential matrix are also discussed by comparing with the results of the SU(3) limit calculation. Our numerical results are obtained from three sets of 2+1 flavor QCD gauge configurations provided by the CP-PACS/JLQCD Collaborations.

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