U.S.-Korea Cooperative Research on Properties of Multipole Matrix Elements in Independent Particle Approximation

本提案要求资助匹兹堡大学物理与天文系Richard H. Pratt博士与韩国首尔淑明女子大学物理系Sung Dahm Oh博士进行为期24个月的独立粒子近似中多极矩阵元素的合作理论研究项目。要研究的问题包括广义振子强度中零点轨迹的存在性、共振对交换和势的空位特征的敏感性、这种共振的正交表达式的构造以及一般多极矩阵元素中零点存在性的证明。这些特征也将在一般的多光子矩阵元素中进行研究。该项目涉及两组具有互补技能和设施的研究人员的合作研究。主要合作者是备受尊敬的科学家，他们多年来一直在研究领域合作。他们的合作非常成功，并在评审期刊上发表了几篇联合出版物。提出的多极矩阵元素零点和共振的研究将揭示电子屏蔽情况下简单点库仑行为的偏差。该项目与美韩合作科学项目的目标相关，该项目旨在通过科学信息、思想、技能和技术的交流以及在互利问题上的合作，提高美韩科学家和工程师之间的合作水平。本项目在美国国家科学基金（NSF）资助的项目基础上增加了国际合作的维度。phy - 9005763。韩国的参与得到了韩国科学工程财团（KOSEF）的支持。

This proposal requests funds to permit Dr. Richard H. Pratt, Department of Physics and Astronomy, University of Pittsburgh, to pursue with Dr. Sung Dahm Oh, Department of Physics, Sookmyung Women's University, Seoul, Korea, for a period of 24 months, a program of cooperative theoretical research on multipole matrix elements in independent particle approximation. Issues to be studied include the existence of trajectories of zeroes in the generalized oscillator strength, the sensitivity of resonances to exchange and vacancy features of potentials, the construction of quadrature expressions for such resonances, and the proof of the existence of zeroes in general multipole matrix elements. These features also will be examined in the general multi-photon matrix elements. This project involves cooperative research of two groups of investigators who have complementary skills and facilities. The key collaborators are highly respected scientists who, for a number of years, have cooperated in the field of the research. Their cooperation has been highly successful and has resulted in several joint publications in refereed journals. The proposed study of multipole matrix element zeroes and resonances will shed light on the deviations from simple point Coulomb behavior in the case of electronic screening. This project is relevant to the objectives of the U.S.-Korea Cooperative Science Program which seeks to increase the level of cooperation between U.S. and Korean scientists and engineers through the exchange of scientific information, ideas, skills, and techniques and through collaboration on problems of mutual benefit. This project adds an international cooperative dimension to research of the PI under NSF Grant No. PHY-9005763. Korean participation is supported by the Korea Science and Engineering Foundation (KOSEF).