• 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}
}
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… 
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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
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
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
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…
Study on sign problem via Lefschetz-thimble path integral
Generalized S-Matrix in Mixed Representation
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
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
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
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…
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