论文标题
强耦合超流体效费系统的微观响应理论
Microscopic response theory for strongly-coupled superfluid fermionic systems
论文作者
论文摘要
制定了强耦合超流体效率系统的响应的一致的微观理论。在将响应定义为两点两点相关函数的基础上，在Bogolyubov的准粒子的基础上，使用最通用的Fermionic Hamiltonian使用具有裸露的两体相互作用的运动方程（EOM）方法，也将其转换为果皮空间。作为正常阶段情况的超氟延伸，所得的EOM是带有静态和动力学相互作用内核的伯特 - 盐 - 甲状腺 - dyson形式，前者决定了短距离相关性，而后者则负责远距离的相关性。与正常阶段相比，两个内核和整个EOM都具有双维。讨论了通过动力核的簇分解进行非扰动近似，重点是将后者核的准纸偶联耦合变体连续推导，其中声音（振动）是复合的相关的两量子粒子状态，即统一正常和配对模式。开发的理论用于核结构应用，例如各种渠道中的核反应。特别地，考虑到准粒子振动偶联，有限振幅方法概括了准颗粒随机相近似，以用于非球形核中的前瞻性计算。
A consistent microscopic theory for the response of strongly-coupled superfluid fermionic systems is formulated. After defining the response as a two-point two-fermion correlation function in the basis of the Bogolyubov's quasiparticles, the equation of motion (EOM) method is applied using the most general fermionic Hamiltonian with a bare two-body interaction, also transformed to the quasiparticle space. As a superfluid extension of the case of the normal phase, the resulting EOM is of the Bethe-Salpeter-Dyson form with the static and dynamical interaction kernels, where the former determines the short-range correlations and the latter is responsible for the long-range ones. Both kernels as well as the entire EOM have the double dimension as compared to that of the normal phase. Non-perturbative approximations via the cluster decomposition of the dynamical kernel are discussed, with the major focus on a continuous derivation of the quasiparticle-phonon coupling variant of the latter kernel, where the phonons (vibrations) are composite correlated two-quasiparticle states unifying both the normal and pairing modes. The developed theory is adopted for nuclear structure applications, such as the nuclear response in various channels. In particular, the finite-amplitude method generalized beyond the quasiparticle random phase approximation, taking into account the quasiparticle-vibration coupling, is formulated for prospective calculations in non-spherical nuclei.
