Giant Resonance States in Nuclei

1.推导了与模型无关的双巨共振态求和规则，该规则对应于单巨偶极共振态的Thomas-Reich-Kuhn求和规则。2.从理论上证明了原子团簇中Mie等离激元的宽度不是与团簇尺寸成反比，而是与尺寸的平方根成反比。这一结果应该在实验上进行详细的检验。3.由最近观测到的Gamow-Teller强度确定了与自旋相关的Landau-Migdal参数的值。得到的值比之前预期的要小得多。因此，核物质中的介子凝聚的临界密度大约是正常核密度的两倍。4.分析表明，在相对论模型中描述核巨单极态时，反核子自由度是必要的。

1.Model-independent sum rules for double giant resonance states have been derived, which correspond to the Thomas-Reich-Kuhn sum rule for single giant dipole resonance states.2.It has been shown theoretically that the width of the Mie plasmon in atomic clusters is not inversely proportional to the cluster size, but to the square root of the size. This result should be examined in detail experimentally.3.The values of the spin-dependent Landau-Migdal parameters have been determined from the recently observed Gamow-Teller strength. The obtained values are much smaller than those expected previously. As a result, the critical density of the pion condensation in nuclear matter is about two times of the normal nuclear density.4.It has been shown analitically that the anti-nucleon degrees of freedom are necessary for describing the nuclear giant monopole states in relativistic models.