Monte Carlo Calculations For Nucleon Systems

该项目将继续开发和使用精确的技术来计算原子核和核物质的性质。量子蒙特卡罗技术将被用来求解质子和中子通过真实的二体势和三体势相互作用的薛定谔方程。通过再现和比较原子核的结构和对实验结果的响应，验证了该方法和核哈密顿量的准确性。然后，这些方法将被用来预测难以或不可能在实验室中生产和测量的原子核的性质。这些数据是理解天体物理上重要的系统和过程所必需的，如富中子物质、中子星、超新星和r过程核合成。超流性对中子星物质有重大影响。我们将使用相同的方法来研究核系统和冷原子气体中的相关现象。许多在核和核物质中重要的配对和超流体机制可以在这些系统中进行研究和验证，其中详细的实验结果正在变得有用。在这个项目中发展的量子多粒子方法在许多物理领域都有广泛的应用。这些包括与该提议直接相关的核物理方面、冷原子气体工作和电子结构。以前在该项目内制定的方法已应用于上述每一个领域。预测稀有同位素的性质可以指导实验，节省宝贵的时间和资源。该项目将培训本科生和研究生，让他们在国内和国际会议上露面，并提供成果的传播。

This project will continue work developing and using accurate techniques to calculate the properties of nuclei and nuclear matter. Quantum Monte Carlo techniques will be used to solve Schroedinger equation for protons and neutrons interacting via realistic two- and three-body potentials. The accuracy of the methods and this nuclear Hamiltonian are verified by reproducing and comparing the structure and response of nuclei to experimental results. The methods will then be used to predict the properties of nuclei that are difficult or impossible to produce and measure in the laboratory. These data are needed to understand astrophysically important systems and processes such as neutron rich matter, neutron stars, supernovae, and r-process nucleosynthesis. Superfluidity has major consequences in neutron star matter. We will use the same methods to study both the nuclear systems and the related phenomena in cold atomic gases. Many of the pairing and superfluid mechanisms important in nuclei and nuclear matter can be studied and verified in these systems where detailed experimental results are becoming available.The quantum many-particle methods developed within this project have broad applications across many areas of physics. These include the nuclear physics aspects directly relating to the proposal, the cold atomic gas work, and electronic structure. The methods previously developed within this project have been applied in each of these areas. The goal of predicting the properties of rare isotopes can guide experiments and save valuable time and resources. The project will train both undergraduate and graduate students, give them exposure at national and international conferences, and provide for dissemination of the results.