CAREER: Studies in Hadronic Structure and Dynamics

拟议的研究和教育项目将在职业奖的支持下进行，为期五年。研究部分是对中低能强子结构和动力学的理论研究。在这些能量域中，强相互作用的基本理论量子色动力学(QCD)处于非微扰状态，因此有必要使用有效的理论。可以利用的有效理论包括手征微扰理论(ChPT)、QCD中的1/N展开，以及在某些情况下的色散关系。研究课题包括：a)低能和中能核子的自旋结构，特别是将在TJNAF上实验检验的广义Gerasimov-Drell-Hain求和规则的研究；b)手征对称性的测试和ChPT对介子和重子的应用(K介子衰变、Goldberger-Treiman差异、重子的弱衰变、涉及低能介子或K介子发射的重介子衰变等)；C)研究QCD中颜色数的倒数展开(1/N展开)，特别是应用于(激发的)重子，目的是更清楚地了解质量、混合和衰变宽度的模式；d)进一步研究对上述有效理论方法的可能改进。研究部分涉及在TJNAF等设施中具有高度当前实验意义的主题，并将与TJNAF的实验者进行密切联系和合作。教育部分的目的是改善物理研究生课程的教学。特别是通过计算机的使用，提高了课堂材料的呈现能力。将使用计算机在课堂上展示图形演示，目的是增强对所讨论主题的直观理解。在这种演示中使用的材料将首先在量子理论课程中开发，然后在其他课程中开发，并将努力使这些材料广泛地提供给其他教师。我们会鼓励学生积极参与这项计划。这一教育部分的影响预计将对汉普顿大学年轻的物理学博士课程的进一步发展产生非常重要的影响。

The proposed research and education projects will be carried out under the support of a CAREER award for a period of five years. The research component is aimed at the theoretical study of hadronic structure and dynamics at low and intermediate energies. In these domains of energy the fundamental theory of the strong interactions Quantum Chromodynamics (QCD) is in a non-perturbative regime making the use of effective theories necessary. Among the effective theories to be utilized are Chiral Perturbation Theory (ChPT), the 1/N expansion in QCD, and in some cases dispersion relations. The topics of research include: a) low and intermediate energy spin structure of the nucleon, in particular the study of the generalized Gerasimov-Drell- Hearn sum rule that will be tested experimentally at TJNAF; b) tests of chiral symmetry and applications of ChPT to mesons and baryons (K-meson decays, Goldberger-Treiman discrepancy, weak decays of baryons, decays of heavy mesons involving emission of low energy pions or K mesons, etc.); c) studies involving the expansion in the inverse of the number of colors in QCD (1/N expansion), in particular applications to (excited) baryons with the aim at understanding more clearly the pattern of masses, mixings and decay widths; d) further study possible improvements to the mentioned effective theory methods. The research component addresses topics of high current experimental significance at facilities such as TJNAF, and close contact and collaboration with experimentalists at TJNAF will be pursued. The education component is aimed at improving the teaching of graduate courses in Physics. In particular, the improvement of material presentation in the class through the use of computers. Computers will be used to present graphical demonstrations in class with the aim at enhancing the intuitive understanding of the subject discussed. Material for use in such demonstrations will be developed first in a Quantum Theory course and later in others, and efforts will be made to make such material widely available to other teachers. Students will be encouraged to actively participate in this initiative. The impact of this education component is expected to be very significant in the further development of the young Ph.D. program in Physics at Hampton University.