确定Lorentz不变耦合模型中N＊-N＋π0有效耦合常数  

Confirming the Effective Coupling Constant of N＊ - N ＋ π0 in the Lorentz Invariable Coupling Model

作　　者：唐云青[1] 方祯云[1] 廖其力[1] 吴晓松[1] 涂卫星[1] 

机构地区：[1]重庆大学理论物理研究所,重庆400030

出　　处：《西华师范大学学报（自然科学版）》2010年第1期25-32,37,共9页Journal of China West Normal University(Natural Sciences)

基　　金：国家自然科学基金资助项目(10175096);中国工程物理研究院基金资助项目(2008T0401;2008T0402)

摘　　要：采用核子共振态N*-核子N与中性介子π0强作用的Lorentz不变耦合模型,研究"核子共振态N*-核子N-π0介子"强衰变时树图阶及考虑了单圈顶角修正的衰变宽度理论计算式,与实验数据比较,得到精确到树图阶及精确到单圈顶角修正的有效耦合常数G(ⅠN*)和G(ⅡN*),并比较G(ⅠN*)和G(ⅡN*).在单圈顶角修正的理论计算中,最重要的工作是解析计算单圈重整化顶角函数AC(p,q).鉴于AC(p,q)属不可严格解析计算的"超越代数函数"(函数级数),对此,本文寻求出一个收敛性很好的这种函数级数,并完成有关解析计算.研究结果将为深入研究核子"共振态N*-核子N-π0介子"强相互作用奠定重要的理论分析与计算处理基础.By applying the Lorentz Invariable Coupling Model, which describes the strong interaction between the resonance state nucleon N＊ , nucleon N and neutral meson π0, the thesis has researched the decay width of the strong decay of N＊ - N - π0 both in the tree propagation and after the single loop vertex correction is taken into consideration. The result has been compared with experiment data, through which the effective coupling constants, both in the tree propagation and after the single loop vertex correction is considered, G（N＊）1 andG（N＊）Ⅱ , have been obtained. In the theoretical calculation of the single loop vertex correction, the most important work is to calculate the single loop renormalization vertex function Ac （p, q）- For Ac（p,q） is a ＂transcendental algebra function＂ （function series） , which can＇t be strictly calculated in the analytical approach, the thesis has worked out a func- tion series, which has fine convergence, to complete the analytical calculation. The research findings will lay an important foundation for theoretical analysis and calculation treatment for in - depth research of the strong interac- tion ＂N＊ - N - π0 ＂.

关 键 词：核子共振态 强衰变 有效耦合常数 大动量积分法 单圈重整化顶角 收敛级数 

分 类 号：O365[理学—流体力学] O230[理学—力学]