Scalar scattering amplitude in the Gaussian wave-packet formalism
type:学術雑誌論文 Journal Article
Kenzo Ishikawa, Kenji Nishiwaki, Kin-ya Oda, Scalar scattering amplitude in the Gaussian wave-packet formalism, Progress of Theoretical and Experimental Physics, Volume 2020, Issue 10, October 2020, 103B04, https://doi.org/10.1093/ptep/ptaa127.
We compute an s-channel 2 → 2 scalar scattering φφ → Φ → φφ in the Gaussian wave-packet formalism at the tree level. We find that wave-packet effects, including shifts of the pole and the width of the propagator of Φ, persist even when we do not take into account the time boundary effect for 2 → 2 proposed earlier. An interpretation of the result is that a heavy scalar 1 → 2 decay Φ → φφ, 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 → 2 scattering. We also show various plane-wave limits.
- Progress of Theoretical and Experimental Physics
Progress of Theoretical and Experimental Physics 2020 (10), 103B04-, 2020-10-24
The Physical Society of Japan