论文标题
有吸引力的$ n $ - $ ϕ $相互作用和来自物理点附近的晶格QCD的两杆尾巴
Attractive $N$-$ϕ$ Interaction and Two-Pion Tail from Lattice QCD near Physical Point
论文作者
论文摘要
基于（$ 2+1 $） - 风味晶格QCD模拟，$ ϕ $ -Meson和Nucleon（$ n $）之间的相互作用的第一个结果。使用HAL QCD方法，Spin 3/2通道中$ n $ - $ ϕ $系统的时空相关被转换为$ n $ - $ ϕ $散射相位通过交互潜力。 $ n $ - $ ϕ $的潜力似乎是短距离有吸引力的核心和远距离诱人的尾巴的结合。发现后者与从色 - 偶极和核子之间的相互作用获得的两杆式交换（TPE）一致。 $m_π的结果散射长度和有效范围= $ 146.4 meV为$ a^{（3/2）} _ 0 = -1.43（23）_ {\ rm Stat。} \ left（^{+36} _ {+36} _ { - 06} _ { - 06} \ right） r^{（3/2）} _ {\ rm eff} = 2.36（10）_ {\ rm Stat。} \ left（^{+02} _ { - 48} \ right）_ {\ rm syst。} {\ rm syst。} {\ rm fm fm fm} $。显示散射长度的大小显示为$M_π$的非平地依赖性，并且对TPE的远距离尾巴的存在敏感。
First results on the interaction between the $ϕ$-meson and the nucleon ($N$) are presented based on the ($2+1$)-flavor lattice QCD simulations with nearly physical quark masses. Using the HAL QCD method, the spacetime correlation of the $N$-$ϕ$ system in the spin 3/2 channel is converted into the $N$-$ϕ$ scattering phase shift through the interaction potential. The $N$-$ϕ$ potential appears to be a combination of a short-range attractive core and a long-range attractive tail. The latter is found to be consistent with the two-pion exchange (TPE) obtained from the interaction between a color-dipole and the nucleon. The resultant scattering length and effective range for $m_π=$ 146.4 MeV are $ a^{(3/2)}_0=-1.43(23)_{\rm stat.}\left(^{+36}_{-06}\right)_{\rm syst.} {\rm fm}$ and $ r^{(3/2)}_{\rm eff}=2.36(10)_{\rm stat.}\left(^{+02}_{-48}\right)_{\rm syst.} {\rm fm}$, respectively. The magnitude of the scattering length is shown to have nontrivial dependence of $m_π$ and is sensitive to the existence of the long-range tail from TPE.
