Lattice QCD study of baryon-baryon interactions in the (S,I)=(-2,0) system using the coupled-channel formalism
Lattice QCD study of baryon-baryon interactions in the (S,I)=(-2,0) system using the coupled-channel formalism
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使用耦合通道形式研究 (S,I)=(-2,0) 系统中重子-重子相互作用的晶格 QCD
DOI：
10.22323/1.105.0157
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
K. Sasaki
中科院分区：
文献类型：
--
作者：
K. Sasaki
我们从晶格QCD研究了具有奇异性的重子-重子相互作用，其中S=−2，同位旋i=0。为了解决这个问题，我们准备了三种重子-重子算符(Λ−Λ、N−Ξ和Σ−Σ)用于信宿，并构造了三种对角化3×3关联矩阵的信源算符。将所制备的汇算符与对角化的源算符相结合，得到了9个有效的Nambu-Bethe-Salpeter(NBS)波函数。通过求解耦合通道薛定谔方程，计算了3×3势矩阵。通过与SU(3)极限计算结果的比较，讨论了势矩阵的风味SU(3)破缺效应。我们的数值结果来自于CP-PACS/JLQCD合作提供的三套2+1味QCD规范组态。
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 × 3 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 × 3 potential matrix is calculated by solving the coupled-channel Schrodinger 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.