For a real nonlinear Klein-Gordon Lagrangian density with a special solitary wave solution (SSWS), which is essentially unstable, it is shown how adding a proper additional massless term could guarantee the energetically stability of the SSWS, without changing its dominant dynamical equation and other properties. In other words, it is a stability catalyzer. The additional term contains a parameter $B$, which brings about more stability for the SSWS at larger values. Hence, if one considers $B$ to be an extremely large value, then any other solution which is not very close to the free far apart SSWSs and the trivial vacuum state, require an infinite amount of energy to be created. In other words, the possible non-trivial stable configurations of the fields with the finite total energies are any number of the far apart SSWSs, similar to any number of identical particles.

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相对论非拓扑孤子解的稳定性催化剂

对于具有特殊孤立波解 (SSWS) 的真实非线性 Klein-Gordon Lagrangian 密度，它本质上是不稳定的，它展示了添加适当的附加无质量项如何保证 SSWS 的能量稳定性，而不改变其主要动力学方程和其他属性。换句话说，它是一种稳定催化剂。附加项包含一个参数 $B$，它为 SSWS 带来更大的稳定性。因此，如果认为 $B$ 是一个非常大的值，那么任何其他与自由相距较远的 SSWS 和平凡真空状态不太接近的解决方案都需要产生无限量的能量。换句话说，具有有限总能量的场的可能的非平凡稳定配置是任意数量的相距很远的 SSWS，