STUDY OF SPIN-ISOSPIN AND DELTA MODES IN INTERMEDIATE NUCLEAR REACTIONS

1. (1)与LAMPF实验人员合作，利用准弹性（p,n）反应研究了同位自旋模式。在正交条件下，采用DWIA和连续RPA进行模型计算。观察到的自旋纵向响应函数与横向响应函数的比值表明，在高动量传递区，RPA类型的相关性较弱。(2)提出了一种更可靠的从观测到的极化转移中提取自旋响应函数的方法。它基于PWIA和t矩阵的最优分解。(3)阐明了普通连续体RPA与具有正交性条件的RPA的区别，并对正交性条件的重要性进行了数值研究。(4)放宽了短程相关g参数的通用性条件，研究了它们与自旋响应函数的依赖关系。(5)计算了氘核的自旋纵向和横向响应函数，为核响应函数分析提供了标准。它们的比值很大程度上依赖于能量，这曾被认为是一致的。(1)提出了1+1维孤子模型的集体坐标量子化方法，推导了介子孤子散射的玻恩项。量子化的哈密顿量不具有汤川耦合，而是具有线性和二次介子孤子相互作用，这些相互作用严格再现了介子孤子散射的玻恩项。将此方法应用于Skyrme模型，推导出介子核子弹性散射和介子光产生的玻恩项。(2)在周期边界条件约束下，研究了有限框中规范场理论的量子化问题。我们用一种酉变换方法消除了韦尔规范哈密顿量中的非物理自由度。我们得到了包含作为重要物理自由度的零模的量子化哈密顿量。(3)根据PCAC假设和规范不变性，引入了电磁因子、轴矢量因子和强离壳因子。我们证明了在手性极限下离壳电磁形状因子的散度需要对著名的介子光产生的低能定理进行修正。少

1. Isospin-spin modes excitation in quasi-elastic scattering region(1) Isospin-spin modes are studied by quasi-elastic(p,n)reactions in collaboration with experimentalists in LAMPF.We made model calculation by DWIA and continuum RPA with orthogonality condition. The observed ratio of the spin longitudinal to transverse response functions implies week RPA type correlations in the high momentum transfer region.(2) A more reliable method than before is proposed for extracting spin response functions from observed polarization transfers. It is based on PWIA and optimal factorization for the t matrix.(3) Difference between the ordinary continuum RPA and the one with orthogonality condition is clarified and importance of the condition is numerically studied.(4) The universality condition for the g parameters of the short range correlation is relaxed and their dependence of spin response functions are studied.(5) We calculated the spin longitudinal and transverse response functions of deutero … More n which are standard for the analysis of the nuclear response functions. Their ratio is found considerably energy dependent,which had been considered to be unity.2. DELTA-isobar excitation(1) A collective-coordinate quantization method for 1+1 dimensional soliton models are proposed to derive Born terms for meson-soliton scattering. The quantized Hamiltonian does not possess the Yukawa coupling but the linear and quadratic meson soliton interactions which reproduce rigorously the Born term for meson-soliton scattering. This method was applied to the Skyrme model to derive the Born terms for pion nucleon elastic scattering and pion photoproduction.(2) Various problems were investigated concerning the quantization of gauge field theories in a finite box constrained by the periodic boundary conditions. We used a unitary transformation method to eliminate unphysical degrees of freedom in the Weyle gauge Hamiltonian. We obtained the quantized Hamiltonian which contains zero modes as important physical degrees of freedom.(3) Electromagnetic,axial-vector,and strong off-shell form factors are introduced consistently with the PCAC hypothesis and gauge invariance. We showed that the divergence of the off-shell electromagnetic form factors in the chiral limit entails a modification of the celebrated low-energy theorem for the pion photoproduction. Less