CAREER: Studies in Hadronic Structure and Dynamics

建议的研究和教育项目将在职业生涯奖的支持下进行，为期五年。研究部分是针对低能和中能强子结构和动力学的理论研究。在这些能量域中，强相互作用量子色动力学（QCD）的基本理论处于非微扰状态，使得有效理论的使用成为必要。可用的有效理论包括手性微扰理论（ChPT）、QCD中的1/N展开以及某些情况下的色散关系。研究课题包括：a)核子的低能和中能自旋结构，特别是将在TJNAF进行实验验证的广义Gerasimov-Drell- Hearn和规则的研究；b)手性对称性的检验和ChPT在介子和重子中的应用（K介子衰变、Goldberger-Treiman差异、重子弱衰变、涉及低能介子或K介子发射的重介子衰变等）；c)涉及QCD中颜色数反比展开（1/N展开）的研究，特别是对（受激）重子的应用，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等设施中具有高电流实验意义的主题，并将与TJNAF的实验人员保持密切联系和合作。教育部分旨在改进研究生物理课程的教学。特别是，通过使用电脑来改善课堂上的材料呈现。计算机将用于课堂上的图形演示，目的是增强对所讨论主题的直观理解。用于此类演示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。鼓励学生积极参与这一倡议。在汉普顿大学物理学青年博士项目的进一步发展中，这一教育组成部分的影响预计将非常显著。

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.