US-Jordan Cooperative Research: Studies of Large and Angle Anomalies in Pion-Nucleus and Alpha-Nucleus Scattering

描述：该奖项是为了表彰由伊利诺伊州卡本代尔南伊利诺伊大学物理系F.Bary Malik博士和约旦安曼应用科学大学物理系Mahmoud Hasan博士和Zuair Shehadeh博士共同开展的一项研究项目。几十年来，许多大角度弹性散射数据一直没有得到解释。用Klein-Gordon方程(KG)进行的初步计算表明，只要用KG方程而不是薛定谔方程，这些数据是可以解释的。调查人员将尝试使用完整的KG方程来分析其中许多无法解释的异常数据。为了便于这样的分析，他们建议在相移分析可用的情况下，使用Shehadeh，Malik和其他人在固定能量下发展的逆散射理论来确定其中的一些势。文中还将详细研究存在外部库仑势时KG方程的解。此外，还将对p~+散射截面和某些非弹性散射截面差异的根本原因进行探讨。在这项调查的同时，还将调查实际激发和虚拟激发的可能性。在固定能量下的逆散射理论也将被用来确定一些阿尔法核势，然后将被用来分析相关数据。范围：该项目将邀请两名资深和知名的科学家和一名年轻的科学家(谢哈德)合作解决介子核和阿尔法核散射的大角度反常问题。这些研究人员中的每一位都有特殊的专业知识和分析技能，因此合作很可能对科学研究有利，对美国和约旦也是有利的。

0209583MalikDescription: This award is for support of a joint research project by Dr. F. Bary Malik, Department of Physics, Southern Illinois University, Carbondale, Illinois and Drs. Mahmoud Hasan and Zuhair Shehadeh, both of the Physics Department at the Applied Science University, Amman, Jordan. Many large angle elastic scattering pion-nucleus data have remained unexplained for decades. Preliminary calculations done using Klein-Gordon equation (KG) indicate that these data could probably be explained provided one uses KG, rather than Schrodinger equation. The investigators will attempt to analyze many of these unexplained anomalous data using full KG equation. To facilitate such analyses, they propose to determine some of these potentials using an inverse scattering theory at a fixed energy developed by Shehadeh, Malik and others for cases where phase shift analyses are available. A detailed study of the solution of the KG equation in the presence of an external Coulomb potential will also be done. Additionally the underlying cause for the difference in p +- cross section and some inelastic scattering cross sections will be investigated. Concurrent to this investigation actual and virtual -excitation possibilities will be investigated. The inverse scattering theory at a fixed energy will also be applied to determine some alpha-nucleus potentials, which will then be used to analyze relevant data. Scope:This project will bring two senior and well-established scientists and a young scientist (Shehadeh) to collaborate on the problem of large angle anomalies of pion-nucleous and alpha-nucleus scattering. Each of these investigators have special expertise and analytical skill, thus the collaboration is likely to be beneficial for the scientific research and to the United States and to Jordan.