Finite-size corrections to Fermi's Golden rule II: Quasi-stationary composite states

Ishikawa, Kenzo; Tobita, Yutaka

doi:10.48550/arxiv.1607.08522

Cited by 5 publications

(13 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this case, the lowest-order perturbation is not good and the higher-order effect must be included. In the next section, we show that the finite-size correction P rad ) in the higher-order approximation [20][21][22][23]. The result obtained in this section means that the emitted scalar particle has a higher energy than the donor excitation energy E D due to the interaction energy.…”

Section: B Finite-size Correction Of the Spontaneous Scalar-particle ...mentioning

confidence: 67%

See 1 more Smart Citation

Finite-size corrections to the excitation energy transfer in a massless scalar interaction model

Maeda¹,

Yabuki²,

Tobita³

et al. 2017

Progress of Theoretical and Experimental Physics

Self Cite

View full text Add to dashboard Cite

We study the excitation energy transfer (EET) for a simple model in which a massless scalar particle is exchanged between two molecules. We show that a finite-size effect appears in EET by the interaction energy due to overlapping of the quantum waves in a short time interval. The effect generates finite-size corrections to Fermi's golden rule and modifies EET probability from the standard formula in the Förster mechanism. The correction terms come from transition modes outside the resonance energy region and enhance EET probability substantially.

show abstract

Section: B Finite-size Correction Of the Spontaneous Scalar-particle ...mentioning

confidence: 67%

“…In order to include the finite-size effect and the lifetime effect, we use the following ansatz [22,23], which is derived by considering the higher-order perturbation theory:…”

Section: Higher-order Correctionsmentioning

confidence: 99%

Finite-size corrections to the excitation energy transfer in a massless scalar interaction model

Maeda¹,

Yabuki²,

Tobita³

et al. 2017

Progress of Theoretical and Experimental Physics

Self Cite

View full text Add to dashboard Cite

show abstract

“…In this work we do not consider corrections due to processes taking place over a finite-time interval (instead of an infinite time interval). This has been well studied in other work [4][5][6][7]. More recently, in [8] a systematic study was undertaken to derive Fermi's golden rule in QFT within a Gaussian wave packet formalism [9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 87%

“…They showed that the bulk contribution leads to Fermi's golden rule while the boundary part can contribute deviations from it. This provided a solid framework in which to view the results of the aforementioned work [4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Wave packets in QFT: leading order width corrections to decay rates and clock behaviour under Lorentz boosts

Edery

2021

Preprint

View full text Add to dashboard Cite

Decay rates in quantum field theory (QFT) are typically calculated assuming the particles are represented by momentum eigenstates (i.e. plane waves). However, strictly speaking, localized free particles should be represented by wave packets. This yields width corrections to the decay rate and to the clock behaviour under Lorentz boosts. We calculate the decay rate of a particle of mass M modeled as a Gaussian wavepacket of width a and centered at zero momentum. We find the decay rate to be Γ 0 1 − 3a 2 4M 2 + O a 4 M 4 *

show abstract

“…On the other hand, Ishikawa et al claim that indeed a wave-packet effect-more specifically the time-boundary effect due to localization of wave-packet overlap in timeis responsible for diverse phenomena in science such as the LSND neutrino anomaly [2,3]; violation of selection rules [4]; the solar coronal heating problem [5]; anomalous Thomson scattering and a speculative alternative to dark matter, as well as modified Haag theorem [6]; the anomalous excitation energy transfer in photosynthesis [7]; and anomalies in width in e + e − → γγ, in π 0 lifetime, in Raman scattering, and in the water vapor continuum absorption [8,9]. There is an ongoing experimental project for this effect [8,10].…”

Section: Introductionmentioning

confidence: 99%

New effect in wave-packet scatterings of quantum fields: Saddle points, Lefschetz thimbles, and Stokes phenomenon

Ishikawa¹,

Nishiwaki²,

Oda³

2021

Preprint

Self Cite

View full text Add to dashboard Cite

We find a new contribution in wave-packet scatterings, which has been overlooked in the standard formulation of S-matrix. As a concrete example, we consider a two-to-two scattering of light scalars φ by another intermediate heavy scalar Φ, in the Gaussian wave-packet formalism: φφ → Φ → φφ. This contribution can be interpreted as an "in-time-boundary effect" of Φ for the corresponding Φ → φφ decay, proposed by Ishikawa et al., with a newly found modification that would cure the previously observed ultraviolet divergence. We show that such an effect can be understood as a Stokes phenomenon in an integral over complex energy plane: The number of relevant saddle points and Lefschetz thimbles (steepest descent paths) discretely changes depending on the configurations of initial and final states in the scattering.

show abstract

Finite-size corrections to Fermi's Golden rule II: Quasi-stationary composite states

Cited by 5 publications

References 5 publications

Finite-size corrections to the excitation energy transfer in a massless scalar interaction model

Finite-size corrections to the excitation energy transfer in a massless scalar interaction model

Wave packets in QFT: leading order width corrections to decay rates and clock behaviour under Lorentz boosts

New effect in wave-packet scatterings of quantum fields: Saddle points, Lefschetz thimbles, and Stokes phenomenon

Contact Info

Product

Resources

About