介子的自洽束缚态模型
A self-consistent bound state model for meson
摘要：
我们研究了1 + 1维Yukawa理论，在其参数g，M，m的一定限制下（如在该模型中存在束缚态的因果关系研究所建议的）。我们研究了模型中束缚态的形成。在极限$g\to\infty,M\to\infty$中，我们以某种特定的方式证明了存在大量的束缚态，其中至少低激发态可用非相对论薛定谔方程描述。我们表明，在这个限制，激发的束缚态是不稳定的，并认为衰减迅速（寿命$τ\to 0 $）的标量（S）的发射在这个特定的限制。基态的质量不受高阶量子修正的显著影响，并且通过适当选择参数，仅涉及小的变化，可以被调整为等于标量的质量。由于量子效应的作用，介子的态与最低束缚态混合，并可能受最低束缚态的支配.我们证明，在这种详细的意义下，Yukawa模型中的标量介子可以看作是形成的费米子-反费米子对的束缚态.
英文摘要：
We study the 1+1 dimensional Yukawa theory, in a certain limit of its parameters g,M,m (as suggested by the study of causality in presence of bound states in this model). We study the bound state formation in the model. In the limit $g\to\infty,M\to\infty$, in a certain specific manner, we show that there are a large number of bound states of which at least the low lying states are described by the non-relativistic Schrodinger equation. We show that, in this limit, the excited bound states are unstable and deem to decay quickly (lifetime $τ\to 0 $) by emission of scalar (s) in this particular limit. The mass of the ground state is not significantly affected by higher order quantum corrections and by proper choice of parameters, involving only small changes, can be adjusted to be equal to the mass of the scalar. As a result of quantum effects, the state of the meson mixes with the lowest bound state and may be dominated by the latter .We show that in this detailed sense, a scalar meson in Yukawa model can be looked upon as a bound state of a fermion-anti fermion pair formed.
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