• Corpus ID: 232035580

# New effect in wave-packet scatterings of quantum fields

@inproceedings{Ishikawa2021NewEI,
title={New effect in wave-packet scatterings of quantum fields},
author={Kenzo Ishikawa and Kenji Nishiwaki and Kin-ya Oda},
year={2021}
}
• Published 24 February 2021
• Education
In a transition amplitude of wave-packets, e.g., that of the Φ → φφ decay process, there are in and out time boundaries for the initial Φ and ﬁnal φφ conﬁgurations, respectively, when the transition occurs in a ﬁnite time interval. In this Letter, we prove that the eﬀect of the in time boundary of the Φ → φφ decay emerges from the φφ → Φ → φφ scattering amplitude that does not include the time boundaries for φφ . This eﬀect has been overlooked in the standard plane-wave formulation and can…
1 Citations

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## References

SHOWING 1-10 OF 23 REFERENCES
‘K’
• P. Alam
• Composites Engineering: An A–Z Guide
• 2021
Particle decay in Gaussian wave-packet formalism revisited
• Physics
Progress of Theoretical and Experimental Physics
• 2018
We derive the Fermi's golden rule in the Gaussian wave-packet formalism of quantum field theory, proposed by Ishikawa, Shimomura, and Tobita, for the particle decay within a finite time interval. We
Scalar scattering amplitude in the Gaussian wave-packet formalism
• Physics
• 2020
We compute an $s$-channel $2\to2$ scalar scattering $\phi\phi\to\Phi\to\phi\phi$ in the Gaussian wave-packet formalism at the tree-level. We find that wave-packet effects, including shifts of the
Search for the correction term to Fermi’s golden rule in positron annihilation
• Physics
Progress of Theoretical and Experimental Physics
• 2020
In the positron–electron annihilation process, finite deviations from the standard calculation based on Fermi’s golden rule are suggested in recent theoretical work. This paper describes an
Generalized S-Matrix in Mixed Representation
• Physics
• 2005
We formulate a generalized scattering amplitude in which the momenta and positions of incoming particles and outgoing particles are specified. Ideal beams and ideal measuring instruments, for which
Finite-size corrections to Fermi's Golden rule II: Quasi-stationary composite states
• Physics
• 2016
Many-body states described by a Schr\"{o}dinger equation include states of overlapping waves of non-vanishing interaction energies. These peculiar states formed in many-body transitions remain in
On experimental confirmation of the corrections to Fermi’s golden rule
• Physics
Progress of Theoretical and Experimental Physics
• 2019
Standard calculations by Fermi's golden rule involve approximations. These approximations could lead to deviations from the predictions of the standard model, as discussed in another paper. In this
Finite-Size Corrections to Fermi’s Golden Rule
• Physics
• 2014
The transition process in quantum mechanics has been studied with the probability ΓT proportional to the time interval T between the initial and final states, where Γ is the rate. Recently it was
Quantum Theory of Fields
To say that this is the best book on the quantum theory of fields is no praise, since to my knowledge it is the only book on this subject. But it is a very good and most useful book. The original was