Structure and Mass Spectrum of Elementary Particles. II. Oscillator Model
Structure and Mass Spectrum of Elementary Particles. II. Oscillator Model
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基本粒子的结构和质谱。
DOI：
10.1103/physrev.91.416
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发表时间：
1953
期刊：
影响因子：
--
通讯作者：
H. Yukawa
中科院分区：
文献类型：
--
作者：
H. Yukawa
为了说明前面字母中关于非局部字段的一般考虑，让我们假设运算符F有一个非常简单的形式
$$F=-\FRAC{{\PARTIAL^2}}{{\PARTIAL X_\MU\PARTIAL X_\MU}}+\FRAC{{\lambda^2}}{2}\LEFT[{-\FRAC{{\PARTIAL^2}}{{\PARTIAL R_\MU\PARTIAL R_\MU}}+\FRAC{1}{{\lambda^4}}r_\MU_\MU}\Right]，$$
(1)
其中λ是具有长度维度的小常量。人们可以称之为基本粒子的四维振子模型，这是Born1最先考虑的，与他的自我互易论有关。然而，我们的模型与他的模型的不同之处在于，我们引入了粒子的内部自由度，这与场本身的非局域性有关。
As an illustration of the general considerations on nonlocal fields in the preceding letter, let us assume that the operator F has a very simple form
$$ F = - \frac{{\partial ^2 }} {{\partial X_\mu \partial X_\mu }} + \frac{{\lambda ^2 }} {2}\left[ { - \frac{{\partial ^2 }} {{\partial r_\mu \partial r_\mu }} + \frac{1} {{\lambda ^4 }}r_\mu r_\mu } \right], $$
(1)
where λ is a small constant with the dimension of length. One may call this the four-dimensional oscillator model for the elementary particle, which was considered first by Born1 in connection with his idea of a self-reciprocity. However, our model differs from his model in that we have introduced internal degrees of freedom of the particles which are related to the nonlocalizability of the field itself.