【摘要】 假定重子中轻层子间不存在三体力，并把满足约束（ｉ＝１，２）的二质点组的相对论力学应用于重子的ＳＵ＿ｓ模型，取Ｕ（ｘ￣２）形为α＋ｂｘ￣２，通过适当坐标平移，可以将重子中的内部运动等效为两个协变谐振子。采用Ｋｕｓｔａｎｈｅｉｍｏ－Ｓｔｉｅｌ变换（简称Ｋ—Ｓ变换），可将它们化为两个三维氢原子问题。这样，在求解中能较自然地避开时间自由度激发的困难，求得重子的Ｒｅｇｇｅ轨迹和基态重子的一组ＳＵ，线性质量关系。更多还原

【Abstract】 In this paper, we assume there exist no three-body forces in a baryon, So thatthe constraint equations for two particles be ap-plied to the SU₃ model of the baryon. Next,we take U（x￣2）as α+bx￣2. By use of aproper coordinate transformation,the internal motion of the baryon can be reducedto double covariant harmonic oscillators.From the Kustannheimo-Stiefel transforma-tion,the problem of a covariant harmonic oscillator can be transformed to that of athreedimensional hydrogen atom with constranits.On that basis,the difficulty of theexcitation of the time degree of freedom can be avoided naturally and the mass-squ-ared formula for baryons can be obtained.更多还原