arXiv:1202.6617·v1·Nuclear Theory
Nuclear Shell Structure Evolution Theory
Zhengda Wang (1) · Xiaobin Wang (2) · Xiaodong Zhang (3) · Xiaochun Wang (3) ((1) Institute of Modern physics, Chinese Academy of Sciences, Lan Zhou, P. R. China, (2) Seagate Technology, Bloomington, Minnesota U.S.A., (3) University of Texas, M. D. Anderson Cancer Center, Radiation Physics Department, Houston, Texas, U.S.A.)
Abstract
The Self-similar-structure shell model (SSM) comes from the evolution of the conventional shell model (SM) and keeps the energy level of SM single particle harmonic oscillation motion. In SM, single particle motion is the positive harmonic oscillation and in SSM, the single particle motion is the negative harmonic oscillation. In this paper a nuclear evolution equation (NEE) is proposed. NEE describes the nuclear evolution process from gas state to liquid state and reveals the relations among SM, SSM and liquid drop model (DM). Based upon SSM and NEE theory, we propose the solution to long-standing problem of nuclear shell model single particle spin-orbit interaction energy . We demonstrate that the single particle motion in normal nuclear ground state is the negative harmonic oscillation of SSM[1][2][3][4] Key words: negative harmonic oscillation, nuclear evolution equation, self-similar shell model
Comments: First draft in Nov, 2010