A generalized RPA theory of the nuclear response function |
| |
| Institution: | 1. Departamento de Ciencias Físicas, Universidad de La Frontera, Casilla 54-D, Temuco, Chile;2. Instituto de Alta Investigación, CEDENNA, Universidad de Tarapacá, Casilla 7D, Arica, Chile;3. Departamento de Ingeniería Matemática, Centro de Excelencia de Modelación y Computación Científica, Universidad de La Frontera, Casilla 54-D, Temuco, Chile;4. Institut für Mathematik, Universität Kassel, Kassel 34132, Germany;5. Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, and Center for Light-Matter Interaction, Tel Aviv University, Tel Aviv 69978, Israel;1. Professor, Department of Kinesiology, Shanghai University of Sport, Rehabilitation Department of Xin Hua Hospital Affiliated with Shanghai Jiao Tong University School of Medicine, Shanghai, China;2. Attending Physician, Rehabilitation Department of Xin Hua Hospital Affiliated with Shanghai Jiao Tong University School of Medicine, Shanghai, China;3. Professor, Rehabilitation Department of Jiangsu Province Hospital, Nanjing, Jiangsu Province, China;4. Professor, Palmer College of Chiropractic, Port Orange, FL;5. Master Graduate Student, Department of Kinesiology, Shanghai University of Sport, Shanghai, China;6. Professor, Pediatric Orthopedic Department of Xin Hua Hospital Affiliated with Shanghai Jiao Tong University School of Medicine, Shanghai, China;7. Attending Physician, Rehabilitation Department of Xin Hua Hospital Affiliated with Shanghai Jiao Tong University School of Medicine, Shanghai, China;8. Competent Therapist, Rehabilitation Department of Xin Hua Hospital Affiliated with Shanghai Jiao Tong University School of Medicine, Shanghai, China;9. Competent Therapist, Rehabilitation Department of Xin Hua Hospital Affiliated with Shanghai Jiao Tong University School of Medicine, Shanghai, China;10. Professor, Department of Kinesiology, Shanghai University of Sport, Shanghai, China |
| |
| Abstract: | A new method of calculating the response function is proposed. The new method gives the response which is explicitly a generalization of the RPA response in a perturbative sense.When we calculate the transition amplitude of a one-body operator from the ground state to a particle-hole (p-h) state, the new response function provides all the second-order effects in addition to the first-order ones which can be obtained in the RPA theory. The new response function is obtained by the following procedure. Firstly, we consider the second RPA theory which is a generalization of the usual RPA theory. It is found that the second RPA misses some of the second-order effects. Secondly, we formulate a modified second RPA equation from the equation of motion of the operators, and then derive the p-h response function from it. It is found that the newly derived p-h response function is obtained by adding new terms to the self-energy of the p-h response function derived from the second RPA theory. Lastly, we introducd vertex functions which take into account the transitions from a particle (hole) state to a particle (hole) state. Note that the p-h response function deals with only the transition amplitudes from a particle (hole) state to a hole (particle) state. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
