Studies of pairing and condensates in nuclear and related systems

本计画主要研究费米子凝聚理论中的两个问题。首先，我们将提出配对理论的T-矩阵公式，并由此总结超流态中的粒子-粒子梯形图。其次，我们将研究非对称超流体和超导体的相图，包括张量相互作用和费米面的形变。第一个问题的目的是在T矩阵理论的超流相变的临界温度以下的扩展。第二个问题将把我们对非对称超导体和超流体相图的认识扩展到具有形变费米面的新相态。应用于核系统，如自旋极化中子物质或同位旋不对称核物质以及超冷原子气体将被执行。

This project concentrates on two issues in the theory of fermionic condensates. Firstly, the T-matrix formulation of the pairing theory will be advanced, whereby the particle-particle ladder diagrams in the superfluid state will be summed. Secondly, the phase diagram of asymmetrical superfluids and superconductors will be studied including tensor interactions and deformations of Fermi surfaces. The first problem is aimed at an extension of the T-matrix theory below the critical temperature of superfluid phase transition. The aim is to avoid the divergence of the T-matrix in the normal state and to build a consistent theory beyond the BCS-mean-field model.The second problem will extend our knowledge about the phase diagram of asymmetric superconductors and superfluids to new phases of matter with deformed Fermi surfaces. Applications to nuclear systems, such as spin-polarized neutron matter or isospin asymmetrical nuclear matter as well as ultracold atomic gases will be performed.