【摘要】 本文把满足约束p_i²+m_i²+U（x²）=0（i=1,2）的二质点组的相对论力学应用于介子的SU₃模型,并取U（x²）形为α+bx²,采用Kustanheimo—Stiefel变换（简称k—S变换）,可把上述具有四维协变谐振子的介子结构模型化为三维氢原子问题。在求解中,不必取非协变规范就能较自然地避开时间自由度激发的困难,同时求得分子质量平方的G·0公式和J对μ²的直线关系。更多还原

【Abstract】 In this paper, the constraint equations p_i²+m₁²+U（x²）=0（i=1,2）are applied to the SU₃ model of mesons. Taking U（x²）for a+bx²,the problem of a four-dimensional harmonic oscillator canbe transformed to that of a three-dimensional hydrogen with constrant from K-S transforma-tion. On that basis, we can avoid in a natural way the difficulty of the excitation of the time degreeof freedom and obtain the mass-squared formula for mesons.更多还原