论文标题

一维Q球上的费米子的散射

Scattering of fermions on a one-dimensional Q-ball

论文作者

Loginov, A. Yu.

论文摘要

在背景字段近似中,在分析和数值上研究了无质量费米子在一维Q-ball上的散射。费米子散射状态的波函数以分析形式发现。用于传输和反射系数以及相应的$ s $ -matrix元素的一般表达式。给出了描述一维Q-ball的Noether电荷蒸发的一般公式。对模型参数的一系列值进行了对传输和反射系数以及相应的S-Matrix元素的数值研究。对Q-ball对Yukawa耦合常数的蒸发速率的依赖性的研究进行了几个NOETHE电荷值。

The scattering of massless fermions on a one-dimensional Q-ball is studied both analytically and numerically in the background field approximation. The wave functions of the fermionic scattering states are found in analytical form. General expressions are derived for the transmission and reflection coefficients and the corresponding $S$-matrix elements. General formulae describing the evaporation of the Noether charge of the one-dimensional Q-ball are given. A numerical study of the transmission and reflection coefficients along with the corresponding S-matrix elements is performed for a range of values of the model parameters. A study of the dependence of the evaporation rate of the Q-ball on the Yukawa coupling constant is carried out for several values of the Noether charge.

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