超流液体$^4$ He和中子气体混合物中中子无自旋对的产生
Creation of neutron spinless pairs in a superfluid liquid $^4$He and a neutron gas mixture
摘要：
首先，在超流液体$^4$ He和中子气体的混合物中预测了自由中子无自旋对的产生。为了解决这个问题，本文给出了作为Bogoliubov模型的推广的稀玻色气体模型的精确解，其中凝析分数在状态$0\leq\frac{N_0}{N}\leq 1$中是变化的，这对于描述超流液体$^4$ He可能是有用的。通过应用所提出的稀玻色气体新模型，我们证明了凝聚体中原子的出现是集体模的抑制者，也是单粒子激发的创造者。另一方面，我们还证明了Bogoliubov激发之间的相互作用项（Bogoliubov声子-旋子模式）和中子的密度模式通过中子模式冥想吸引相互作用，这又导致无自旋中子对上的束缚态。
英文摘要：
First, the creation of a free neutron spinless pairs is predicted in a superfluid liquid $^4$He and a neutron gas mixture. For solving the given problem, it is presented an exact solution to the model of dilute Bose gas as an extension of the Bogoliubov model, at quantity of the condensate fraction varying in the state $0\leq\frac{N_0}{N}\leq 1$, which in turn might be useful for a description of the superfluid liquid $^4$He. Due to an application of presented new model of dilute Bose gas, we prove that an appearance of atoms in the condensate is a suppressor for the collective modes as well as a creator for single-particle excitations On other hand, it is shown that the terms of the interaction between the Bogoliubov excitations (Bogoliubov phonon-roton modes) and the density modes of the neutron meditate an attractive interaction via the neutron modes, which in turn leads to a bound state on a spinless neutron pair.
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