论文标题
高斯波包形式主义中的标量散射幅度
Scalar scattering amplitude in Gaussian wave-packet formalism
论文作者
论文摘要
我们计算$ s $ channel $ 2 \ to2 $标量散射$ ϕ ϕ \toφ\toφ\ to toxcadct从树级处的高斯波包形式中的形式。我们发现,即使我们没有考虑到以前提出的,即使我们没有考虑到$ 2 \ to2 $的时限效果,但即使我们没有考虑到时间边界效应,波动包装的效果,包括$φ$的杆宽度和宽度的宽度。可以解释的结果是,考虑到$φ$的产生,重量标量$ 1 \ to2 $ decay $φ\ toϕϕ $,除非我们进一步考虑$ 2 \ to2 $散射的内部效果,否则不会表现出在国家内的时间限制效果。我们还显示各种平面波限制。
We compute an $s$-channel $2\to2$ scalar scattering $ϕϕ\toΦ\toϕϕ$ in the Gaussian wave-packet formalism at the tree-level. We find that wave-packet effects, including shifts of the pole and width of the propagator of $Φ$, persist even when we do not take into account the time-boundary effect for $2\to2$, proposed earlier. The result can be interpreted that a heavy scalar $1\to2$ decay $Φ\toϕϕ$, taking into account the production of $Φ$, does not exhibit the in-state time-boundary effect unless we further take into account in-boundary effects for the $2\to2$ scattering. We also show various plane-wave limits.