Monte Carlo Calculations for Nucleon Systems

该项目将开发计算原子核和核物质性质的方法，通过求解实际二体和三体势相互作用的核子的薛定谔方程。使用了量子蒙特卡罗技术。核子位置用扩散蒙特卡罗采样，自旋和同位旋自由度用附加辅助场采样。这项工作的成功完成将使我们能够通过再现和比较实验结果来验证核哈密顿量的准确性，然后预测目前在实验室中难以产生和测量的核的性质。例如，需要这些数据来理解天体物理上重要的系统和过程，如富中子物质和r过程核合成。这项工作的更广泛的影响包括量子多粒子方法的发展，可以应用于各种其他领域的问题，如电子结构和冷原子气体。该项目将对本科生和研究生进行培训，让他们参加国内和国际会议，并为成果的传播提供机会。

This project will develop methods to calculate the properties ofnuclei and nuclear matter by solving the Schroedinger equation fornucleons interacting via realistic two- and three-body potentials.Quantum Monte Carlo techniques are used. The nucleon positions aresampled using diffusion Monte Carlo while the spin and isospin degreesof freedom are sampled by the addition of auxiliary fields. Successfulcompletion of this work will allow us to verify the accuracy of thenuclear Hamiltonian by reproducing and comparing to experimental results,and then to predict the properties of nuclei that are currently difficultor impossible to produce and measure in the laboratory. These data areneeded to understand, for example, astrophysically important systemsand processes such as neutron rich matter and r-process nucleosynthesis.Broader impacts of this work include development of quantum many-particlemethods that can be applied to problems in a variety of other fieldssuch as electronic structure and cold atomic gases. The project willtrain both undergraduate and graduate students, give them exposure atnational and international conferences, and provide for disseminationof the results.