XL. <i>The ranges of the α particles from uranium</i>

Geiger, H.; B.Sc., J.M. Nuttall

doi:10.1080/14786440308637238

Cited by 58 publications

(4 citation statements)

References 4 publications

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“…Although this simple one-dimensional model did not agree with the experimental results exactly, it did give the qualitative aspects of the decay by reproducing tunneling times or decay times that spanned over the correct range. It was also shown that this result could be related to the Geiger-Nuttall formula, an empirical law derived in 1912 that relates the half-life of a radioactive substance and the energy of its emitted a-particle [13]. Gamow,…”

Section: Historical Backgroundmentioning

confidence: 89%

Tunneling of a diatomic molecule incident upon a potential barrier

Goodvin

Shegelski

2005

Phys. Rev. A

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The author has granted a non exclusive license allowing Library and Archives Canada to reproduce, publish, archive, preserve, conserve, communicate to the public by telecommunication or on the Internet, loan, distribute and sell theses worldwide, for commercial or non commercial purposes, in microform, paper, electronic and/or any other formats. AVIS: L'auteur a accordé une licence non exclusive permettant à la Bibliothèque et Archives Canada de reproduire, publier, archiver, sauvegarder, conserver, transmettre au public par télécommunication ou par l'Internet, prêter, distribuer et vendre des thèses partout dans le monde, à des fins commerciales ou autres, sur support microforme, papier, électronique et/ou autres formats. Canada Bien que ces formulaires aient inclus dans la pagination, il n'y aura aucun contenu manquant.

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Section: Historical Backgroundmentioning

confidence: 89%

Tunneling of a diatomic molecule incident upon a potential barrier

Goodvin

Shegelski

2005

Phys. Rev. A

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“…To leading order in E α /m α , we reproduce the well known Geiger-Nuttall law [75] ln(P ) ∝ −S ∝ − Z √ E α .…”

Section: Discussionmentioning

confidence: 99%

Dynamically assisted Sauter-Schwinger effect in inhomogeneous electric fields

Schneider

Schützhold

2016

J. High Energ. Phys.

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Via the world-line instanton method, we study electron-positron pair creation by a strong (but sub-critical) electric field of the profile E/ cosh 2 (kx) superimposed by a weaker pulse E / cosh 2 (ωt). If the temporal Keldysh parameter γ ω = mω/(qE) exceeds a threshold value γ crit ω which depends on the spatial Keldysh parameter γ k = mk/(qE), we find a drastic enhancement of the pair creation probability -reporting on what we believe to be the first analytic non-perturbative result for the interplay between temporal and spatial field dependences E(t, x) in the Sauter-Schwinger effect. Finally, we speculate whether an analogous effect (drastic enhancement of tunneling probability) could occur in other scenarios such as stimulated nuclear decay, for example.

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“…The fundamental R-matrix theory, being the mechanics of a two-body problem, can be applied to describe the initial system of α + daughter nucleus connected with the instability of the quasi-bound or resonance state of the decaying nucleus. Qi et al [6,7] have tried to include the tunneling process in the R-matrix theory and proposed an extended version of the Geiger-Nuttall (GN) [8] rule. The R-matrix theory, which is a three-dimensional potential scattering problem, cannot be simply represented or converted to a one-dimensional process of tunneling of the potential barrier without using changes in the potential.…”

Section: Introductionmentioning

confidence: 99%

Two-delta shell resonance description of α-decay: analytic expression of half-life via energy derivative of phase-shift

Sahu¹

2021

J. Phys. G: Nucl. Part. Phys.

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The process of α-decay being intrinsically quantum mechanical originates from the resonance state of the α + daughter nucleus two-body system where the scattering phase-shifts vary rapidly in a small energy range of the size of the resonance width in the presence of narrow resonance. We model this physical phenomenon and derive a clear expression for the decay width, Γ, in terms of energy derivative of phase-shift obtained by properly matching the exact solutions within the segments of a shell of two delta potentials generating resonance with the pure Coulomb wave functions in the Coulomb–nuclear scattering phenomenon. With this decay width Γ, using the standard relation, T 1/2 = ln 2 ℏ Γ , the decay half-life, T 1/2, is expressed analytically and the computed results successfully explain the experimental results of α-decay half-lives ranging from 10−7 s–1025 s in the cases of many light, heavy and super heavy radioactive nuclei with proton number Z = 52–120 and mass number A = 106–299.

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XL. The ranges of the α particles from uranium

Cited by 58 publications

References 4 publications

Tunneling of a diatomic molecule incident upon a potential barrier

Tunneling of a diatomic molecule incident upon a potential barrier

Dynamically assisted Sauter-Schwinger effect in inhomogeneous electric fields

Two-delta shell resonance description of α-decay: analytic expression of half-life via energy derivative of phase-shift

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