Phonon splitting in the magnetised vacuum

Stoneham, R. J.

doi:10.1088/0305-4470/12/11/028

Cited by 59 publications

(96 citation statements)

References 14 publications

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“…While not established before in the literature, the low energy limit of this, namely M →⊥ ≈ ωω ′ ω ′′ /6 , yields the differential rate from previous expositions [4,6] of low energy approximations. The form of Eq.…”

Section: Asymptotic Limits For High B or Small ωmentioning

confidence: 59%

“…The convention for polarizations is identical to that assumed in [1], who opted for real polarization vectors with zero time components. The polarization states ⊥ and are defined according to whether the photon's electric vector lies either perpendicular or parallel (respectively) to the plane containing the photon's momentum k and the (uniform) magnetic field B vectors, the convention of [1,13,6,16,10,30]. In the limit of zero dispersion, three polarization modes are permitted by charge/parity (CP) invariance in QED, namely ⊥→ , ⊥→⊥⊥ and →⊥ .…”

Section: The General S-matrix Formalismmentioning

confidence: 99%

“…see [4,6]); this is due to the crossing symmetries involved. Note that while the cubic dependences of all the modes at low energies reflect the lack of an energy scale in this domain (i.e.…”

Section: B Approximations For ω ≪mentioning

confidence: 99%

“…Consider first the mode ⊥→ , for which such a determination is somewhat involved. The starting point is the integral expression [4,6,10] that corresponds to the scaled scattering amplitude that generates the same form for the rate as in Eq. (12): …”

Section: B Approximations For ω ≪mentioning

confidence: 99%

“…This arises because effective Lagrangian and proper-time (collectively referred to by the label ELP here) methods produce results that involve triple integrals over relatively simple (hyperbolic and exponential) functions, while the S-matrix amplitudes integrate over the parallel momentum p z and include a triple summation over the Landau level quantum numbers of the intermediate pair states. Both techniques start from different but equivalent [15] forms of the electron propagator, and hence S-matrix computations [1,11] should yield identical results to propertime numerics [2][3][4][5][6][7][8]. For the specific case of magnetic pair creation γ → e + e − , such an equivalence of the S-matrix and proper-time methods has been demonstrated [16,17], but only via continuous asymptotic approximations that smoothly average out the exact "sawtooth" resonance structure.…”

Section: Introductionmentioning

confidence: 99%

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Magnetic photon splitting: TheS-matrix formulation in the Landau representation

Baring

2000

Phys. Rev. D

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Calculations of reaction rates for the third-order QED process of photon splitting γ → γγ in strong magnetic fields traditionally have employed either the effective Lagrangian method or variants of Schwinger's proper-time technique. Recently, Mentzel, Berg and Wunner [1] presented an alternative derivation via an S-matrix formulation in the Landau representation. Advantages of such a formulation include the ability to compute rates near pair resonances above pair threshold. This paper presents new developments of the Landau representation formalism as applied to photon splitting, providing significant advances beyond the work of [1] by summing over the spin quantum numbers of the electron propagators, and analytically integrating over the component of momentum of the intermediate states that is parallel to field. The ensuing tractable expressions for the scattering amplitudes are satisfyingly compact, and of an appearance familiar to S-matrix theory applications. Such developments can facilitate numerical computations of splitting considerably both below and above pair threshold. Specializations to two regimes of interest are obtained, namely the limit of highly supercritical fields and the domain where photon energies are far inferior to that for the threshold of single-photon pair creation. In particular, for the first time the low-frequency amplitudes are simply expressed in terms of the Gamma function, its integral and its derivatives. In addition, the equivalence of the asymptotic forms in these two domains to extant results from effective Lagrangian/proper-time formulations is demonstrated.12.20. Ds, 95.30.Cq, 97.60.Gb, 97.60.Jd, 98.70.Rz

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Section: Asymptotic Limits For High B or Small ωmentioning

confidence: 59%

Section: The General S-matrix Formalismmentioning

confidence: 99%

Section: B Approximations For ω ≪mentioning

confidence: 99%

Section: B Approximations For ω ≪mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Magnetic photon splitting: TheS-matrix formulation in the Landau representation

Baring

2000

Phys. Rev. D

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Expanding Nuclear Physics Horizons with the Gamma Factory

et al. 2022

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The Gamma Factory (GF) is an ambitious proposal, currently explored within the CERN Physics Beyond Colliders program, for a source of photons with energies up to ≈400 MeV and photon fluxes (up to ≈1017 photons s−1) exceeding those of the currently available gamma sources by orders of magnitude. The high‐energy (secondary) photons are produced via resonant scattering of the primary laser photons by highly relativistic partially‐stripped ions circulating in the accelerator. The secondary photons are emitted in a narrow cone and the energy of the beam can be monochromatized, down to 10−3–10−6 level, via collimation, at the expense of the photon flux. This paper surveys the new opportunities that may be afforded by the GF in nuclear physics and related fields.

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Exotic QED processes and atoms in strong external fields

Wunner

1994

Matter Under Extreme Conditions

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Phonon splitting in the magnetised vacuum

Cited by 59 publications

References 14 publications

Magnetic photon splitting: TheS-matrix formulation in the Landau representation

Magnetic photon splitting: TheS-matrix formulation in the Landau representation

Expanding Nuclear Physics Horizons with the Gamma Factory

Exotic QED processes and atoms in strong external fields

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