格点量子色动力学在${(m_π,m_K)\approx(146,525)}$ MeV上的超子-核子相互作用
Hyperon-Nucleon Interaction from Lattice QCD at ${(m_π,m_K)\approx(146,525)}$ MeV
摘要：
广义重子-重子相互作用（$BB$）是核物理研究的重要课题之一。为了得到一套完整的同位旋-重子相互作用，我们用几乎物理夸克质量对应于$(m_π,m_K)\approx(146,525)$ MeV和大体积$(La)^4=(96a)^4\approx$（8.1 fm）$^4$的大尺度格点量子色动力学计算.同时计算了大量的Nambu-Bethe-Salpeter（NBS）关联函数。本文利用HAL QCD方法研究了超子相互作用的奇异$S=-1$通道。对于四个同位旋分量，给出了三种势（（i）$^1S_0$中心势，（ii）$^3S_1-^3D_1$中心势，和（iii）$^3S_1-^3D_1$张量势）：（1）$ΣN - ΣN$（同位旋$I=3/2$）对角线，（2）$ΛN - ΛN$对角线，（3）$ΛN \rightarrow ΣN$跃迁，和（4）$ΣN - ΣN$（$I=1/2$）对角线。给出了$ΣN$ $(I=3/2)$系统的散射相移。
英文摘要：
Comprehensive study of generalized baryon-baryon ($BB$) interaction including strangeness is one of the important subject of nuclear physics. In order to obtain a complete set of isospin-base baryon interactions, we perform a large scale lattice QCD calculation with almost physical quark masses corresponding to $(m_π,m_K)\approx(146,525)$ MeV and large volume $(La)^4=(96a)^4\approx$ (8.1 fm)$^4$. A large number of Nambu-Bethe-Salpeter (NBS) correlation functions from nucleon-nucleon ($NN$) to $ΞΞ$ are calculated simultaneously. In this contribution, we focus on the strangeness $S=-1$ channels of the hyperon interactions by means of HAL QCD method. Three potentials ((i) the $^1S_0$ central, (ii) the $^3S_1-^3D_1$ central, and (iii) $^3S_1-^3D_1$ tensor potentials) are presented for four isospin components; (1) the $ΣN - ΣN$ (the isospin $I=3/2$) diagonal, (2) the $ΛN - ΛN$ diagonal, (3) the $ΛN \rightarrow ΣN$ transition, and (4) the $ΣN - ΣN$ ($I=1/2$) diagonal. Scattering phase shifts for $ΣN$ $(I=3/2)$ system are presented.
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