Transport coefficients in the Fourier shape parametrization

An innovative parametrization of nuclear shapes, based on a Fourier expansion of the square distance from the surface of the nucleus to the symmetry axis is introduced. Surface, curvature and Coulomb energy coefficients of a charged liquid drop, that determine the semiclassical nuclear energy, are evaluated within this shape parametrization, together with the wall-friction and the irrotational-flow mass tensors. These transport coefficients are important ingredients of many nuclear models describing nuclear structure and dynamics. A numerical code allowing for the determination of all these quantities for a huge variety of nuclear shapes is made available to the interested user.本文提出了一种创新的原子核形状参数化方案，该方案基于原子核表面至对称轴的平方距离的傅里叶展开。基于该参数化方案，本文计算了决定半经典原子核能量的带电液滴的表面、曲率与库仑能量系数，同时还得到了壁摩擦（wall-friction）与无旋流动质量张量（irrotational-flow mass tensors）。上述输运系数是诸多描述原子核结构与动力学的核物理模型的重要组成部分。本研究向感兴趣的用户开放了一款数值代码，可针对种类繁多的原子核形状计算上述全部物理量。