Microscopic Theory of Quantum Fluids and Nuclear Systems

该研究计划的主要目标是微观预测和解释强相互作用量子多体系统的性质，跨越几个学科界限，但重点是核多体问题。 一些活动和预期成果包括通过将绿色函数技术应用于（e，e 'p）截面的定量预测来研究处于核基态的高动量核子。 一项相应的研究将评估双质子去除实验作为核介质中核子-核子相互作用探测器的潜力。 涉及核物质谱函数的自洽确定的计算将建立核子的介质修改及其有效相互作用的密度依赖性，并产生与重离子碰撞分析相关的介质内相移和截面。 在差距方程的一个新的分离变换的框架下，研究了以排斥作用为主的配对的基本特征。 相关基函数（CBF）计算的超流对中子星物质的差距将提供关键的输入模型的旋转动力学和热演化的中子星。 变分CBF和相关密度矩阵理论适用于非均匀环境将适用于配对非均匀核系统，氦液-气界面的共振蒸汽模式，玻色-爱因斯坦凝聚现象在被困原子云，晶格自旋系统和晶格规范模型的相变。

This research program has the primary goal of microscopic prediction and explanation of the properties of strongly interacting quantum many-body systems crossing several disciplinary boundaries but with an emphasis on nuclear many-body problems. Some activities and expected results include the study of high-momentum nucleons in nuclear ground states by applying Green's function techniques to quantitative prediction of the (e,e'p) cross section. A corresponding study will assess the potential of two-proton removal experiments as a probe of the nucleon-nucleon interaction in the nuclear medium. Calculations involving self-consistent determination of nuclear-matter spectral functions will establish the density dependence of medium modifications of nucleons and their effective interactions and generate in-medium phase shifts and cross sections relevant to the analysis of heavy-ion collisions. Fundamental features of pairing by predominantly repulsive interactions will be studied in the framework of a new separation transformation of the gap equation. Correlated basis functions (CBF) calculations of superfluid pairing gaps in neutron-star matter will furnish critical inputs for models of the rotational dynamics and thermal evolution of neutron stars. Variational-CBF and correlated density matrix theories adapted to inhomogeneous environments will be applied to pairing in non-uniform nuclear systems, resonant vapor modes of the helium liquid-vapor interface, Bose-Einstein condensation phenomena in trapped atomic clouds, and phase transitions in lattice spin systems and lattice gauge models.