Surface pion condensation of finite nucleus in the relativistic mean field theory

在相对论和非相对论框架下，我们对介子对原子核结构的作用进行了理论研究。在相对论方法中，我们还研究了狄拉克海对核结构的作用。我们列出了本研究的结果：1.我们用数值方法证明了相对论平均场框架下的介子凝聚的发生。结果，我们看到了由介子引起的自旋轨道效应的出现。另外，介子在原子核表面附近发生凝聚。2.我们通过制备总自旋守恒的本征态，发展了宇称和电荷投影。然后，我们利用HE4的宇称和电荷投射波函数进行了变分。我们展示了投影对于核基态的重要性。我们发现了pion(张量相互作用)对He4.3结构的重要性。为了定量地说明张量力的重要性，我们计算了中子He4散射的相移。我们证明了在He_4结构中p态的混合对于定量再现S相移、p波相移和d波相移是必不可少的。这是一个决定性的结果，证明了张量力在产生自旋-轨道分裂中的作用。4.我们在相对论平均场模型的框架下，建立并计算了宇称和电荷投影法。为了提取光子关联的全部强度，我们展示了投射的重要性。我们能够证明介子对核结构起着重要的作用。最重要的是，我们相信，我们目前的研究结果表明，通过手征对称性的重要作用，强子物理和核物理是统一的。

We have made theoretical research on the role of pion for the structure of nucleus in the relativistic and non-relativistic framework. In the relativistic approach, we have also studied the role of the Dirac Sea on the nuclear structure. We list the outcome of the present research :1.We showed the occurrence of pion condensation in the relativistic mean field framework numerically. As a result, we see the appearance of the spin-orbit effect due to the pion. In addition, the pion condensates around the nuclear surface.2.We developed the parity and charge projection by preparing the intrinsic state with the total spin conserved. We then took variation by using the parity and charge projected wave function for He4. We showed the importance of the projection for the nuclear ground state. We found the importance of the pion (tensor interaction) for the structure of He4.3.We calculated the phase shifts of the neutron He4 scattering in order to show the importance of the tensor force quantitatively. We showed the mixture of the p-state in the structure of He4 is essential for the quantitative reproduction of the phase shifts of s,p and d wave phase shifts. This is a decisive result to demonstrate the role of the tensor force for the creation of the spin-orbit splitting.4.We formulated and calculated the parity and charge projection method in the framework of the relativistic mean field model. In order to extract the full strength of the pionic correlations, we showed the importance of the projection.We were able to show that the pion is playing the important role for the nuclear structure. On top, we are convinced that the results of our present study indicate the unification of the hadron physics and nuclear physics through the important role of the chiral symmetry.