论文标题
相关函数分析中的p- $ ϕ $绑定状态的指示
Indication of a p-$ϕ$ bound state from a correlation function analysis
论文作者
论文摘要
数十年来，核子的存在 - $ ϕ $（n- $ ϕ $）的结合状态一直是理论和实验研究的主题。在这封信中，发现了\ pPhi结合态的指示，首次使用两个粒子相关功能作为不变质谱的替代方案。通过HAL QCD协作进行自旋3/2 \ nPhi相互作用的新的晶格计算，用于将自旋1/2对应物限制在通过爱丽丝测量的实验\ PPHI相关函数的拟合度中。相应的散射长度和有效范围是美元）+i \ cdot0.00^{+0.35} _ { - 0.00}（\ Mathrm {stat。}）^{+0.16} _ { - 0.00}（\ Mathrm {syst。}）\ right）$ 〜fm 和$ d_0^{（1/2）} = \ left（0.39^{+0.09} _ { - 0.09}（\ Mathrm {stat。}）^{+0.02} _ { - 0.03} +i \ cdot0.00^{+0.00} _ { - 0.04}（\ Mathrm {stat。}）^{+0.00} _ { - 0.02}（\ Mathrm {syst。}） 分别。结果暗示着\ pPhi结合状态的出现，其估计结合能在$ 12.8-56.1 $ MEV范围内。
The existence of a nucleon-$ϕ$ (N-$ϕ$) bound state has been subject of theoretical and experimental investigations for decades. In this letter, indication of a \pphi bound state is found, using for the first time two-particle correlation functions as alternative to invariant mass spectra. Newly available lattice calculations for the spin 3/2 \Nphi interaction by the HAL QCD collaboration are used to constrain the spin 1/2 counterpart from the fit of the experimental \pphi correlation function measured by ALICE. The corresponding scattering length and effective range are $f_0^{(1/2)}=\left(-1.54^{+0.53}_{-0.53}(\mathrm{stat.})^{+0.16}_{-0.09}(\mathrm{syst.})+i\cdot0.00^{+0.35}_{-0.00}(\mathrm{stat.})^{+0.16}_{-0.00}(\mathrm{syst.})\right)$~fm and $d_0^{(1/2)}=\left(0.39^{+0.09}_{-0.09}(\mathrm{stat.})^{+0.02}_{-0.03}(\mathrm{syst.})+i\cdot0.00^{+0.00}_{-0.04}(\mathrm{stat.})^{+0.00}_{-0.02}(\mathrm{syst.})\right)$~fm, respectively. The results imply the appearance of a \pphi bound state with an estimated binding energy in the range of $12.8-56.1$ MeV.
