U.S.-Mexico: Theoretical Study of the Three-Color Lipkin Model

9314535皮特尔这个美洲项目奖将支持巴托尔研究所的斯图尔特·皮特尔教授与墨西哥国立自治大学(UNAM)奇恩西亚斯核研究所的亚历杭德罗·弗兰克教授一起进行核结构理论研究。研究人员打算研究映射方法，为多夸克哈密顿系统提供可靠的近似处理。各种方法将在一个完全可解的夸克系统模型的背景下进行测试，该模型同时允许两个夸克和三个夸克的关联。这个模型问题的精确解也将被用来提取对真实原子核的夸克结构的有用见解。拟议的研究将受益于美国研究人员在绘制技术及其在夸克系统中的应用方面的专业知识，而墨西哥研究人员将贡献他在物理学群论方法方面的专业知识。此外，拟议中的工作将涉及西班牙的各种团体，这些团体在过去几年里一直与这两名调查人员合作。***

9314535 Pittel This Americas Program award will support Prof. Stuart Pittel of the Bartol Research Institute in a theoretical study of nuclear structure with Prof. Alejandro Frank of the Instituto de Ciencias Nucleares of the National Autonomous University of Mexico (UNAM). The investigators intend to study mapping methods to provide reliable approximate treatments of multi-quark hamiltonian systems. Various approaches will be tested in the context of an exactly solvable model of quark systems that admits both two- and three-quark correlations. Exact solutions of this model problem will also be used to extract useful insight on the quark structure of real nuclei. The proposed research will benefit from the expertise of the U.S. investigator in mapping techniques and their application to quark systems, while the Mexican investigator will contribute his expertise in group theoretical methods in physics. In addition, the proposed work will involve various groups in Spain that have been collaborating with the two investigators over the past few years. ***