Scalar scattering amplitude in the Gaussian wave-packet formalism
@article{Ishikawa2020ScalarSA, title={Scalar scattering amplitude in the Gaussian wave-packet formalism}, author={Kenzo Ishikawa and Kenji Nishiwaki and Kin-ya Oda}, journal={Progress of Theoretical and Experimental Physics}, year={2020}, volume={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 pole and width of the propagator of $\Phi$, 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 $\Phi\to\phi\phi$, taking into account the production of $\Phi$, does not exhibit the in…
Figures from this paper
One Citation
New effect in wave-packet scatterings of quantum fields
- Education
- 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…
References
SHOWING 1-10 OF 12 REFERENCES
Particle decay in Gaussian wave-packet formalism revisited
- PhysicsProgress 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…
Search for the correction term to Fermi’s golden rule in positron annihilation
- PhysicsProgress 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…
The Theory of Positrons
- Physics
- 1949
The problem of the behavior of positrons and electrons in given external potentials, neglecting their mutual interaction, is analyzed by replacing the theory of holes by a reinterpretation of the…
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
- PhysicsProgress 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…
Anomalous radiative transitions
- Physics
- 2014
Anomalous transitions involving photons derived by many-body interaction of the form, @µG µ , in the standard model are studied. This does not affect the equation of motion in the bulk, but makes…
Expectation values of flavor-neutrino numbers with respect to neutrino-source hadron states: Neutrino oscillations and decay probabilities
- Physics
- 2014
Expectation values of flavor-neutrino numbers with respect to neutrino-source hadron states: Neutrino oscillations and decay probabilities Kanji Fujii1,∗ and Norihito Toyota2,∗† 1Department of…
Finite-size corrections to Fermi's golden rule: I. Decay rates
- Physics
- 2013
A quantum mechanical wave of a finite size moves like a classical particle and shows a unique decay probability. Because the wave function evolves according to the Schr\"{o}dinger equation, it…