U.S.-Hungary Physics Research on N-Body Scattering Theory

美国-匈牙利关于“N-体散射理论”的研究项目是由新墨西哥大学的Colston Chandler博士和Archie G.Gibson博士以及核能与核动力研究所的Gyula Bencze博士共同完成的。匈牙利科学院粒子物理学。研究人员将继续研究库仑相互作用，这是理论物理中一个困难的、少数人的问题，没有实用的、数学上严格的理论。工作将侧重于代码开发，以准确地处理库仑相互作用，以数字方式评估质子-氘散射的散射幅度。研究人员将继续研究散射理论，以更准确地解释原子分裂反应中的电子关联。最后，他们将研究三个粒子与排斥库仑相互作用的库仑反应，以确定如何在散射理论中加入一个实用的分裂波函数的扭曲波近似。在散射计算中包含破裂通道是当前原子物理和核物理中的一个非常感兴趣的话题。研究人员还打算在钱德勒-吉布森方程的背景下继续他们关于分手幅度的理论和数值工作。要解决的具体问题是一个简化的中子-氚散射模型，尽管这些技术应该适用于更一般的问题。还将开始研究开发一个实用的三团簇破裂波函数的N体扭曲波近似。任何一项拟议研究的成功都将在原子或核物理，或两者兼而有之方面有相当大的实际应用。这个理论物理项目通过使匈牙利和美国的顶尖专家能够将互补的人才结合在一起，并在相互感兴趣和能力很强的领域汇集资源，从而实现了促进科学知识的计划目标。

This US-Hungary research project on "N-Body Scattering Theory" is between Drs. Colston Chandler and Archie G. Gibson of the University of New Mexico and Dr. Gyula Bencze of the Research Institute for Nuclear & Particle Physics, Hungarian Academy of Sciences. The researchers will continue examination of the Coulomb interaction, a difficult, few-body problem in theoretical physics for which no practical, mathematically rigorous theory exists. Work will emphasize code development to evaluate scattering amplitudes numerically for proton- deuteron scattering, treating the Coulomb interaction exactly. The researchers will pursue work on a scattering theory to more accurately account for electron correlations in atomic breakup reactions. Finally, they will study the Coulomb reaction for three particles interacting with repulsive Coulomb interactions to determine how to incorporate into the scattering theory a practical distorted wave approximation for breakup wave functions. The inclusion of breakup channels in scattering calculations is a topic of considerable interest at present in both atomic and nuclear physics. The researchers also intend to continue their theoretical and numerical work on breakup amplitudes in the context of the Chandler-Gibson equations. The specific problem to be addressed is a simplified model for neutron-deuteron scattering, though the techniques should be applicable to more general problems. Study will also be initiated to develop a practical N-body distorted wave approximation for three-cluster breakup wave functions. Success in any of the proposed studies would have considerable practical application in atomic or nuclear physics, or both. This project in theoretical physics fulfills the program objective of advancing scientific knowledge by enabling leading experts in Hungary and the United States to combine complementary talents and pool resources in areas of strong mutual interest and competence.