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QFT Derivation of the Decay Law of an Unstable Particle with Nonzero Momentum
Author
Source
Advances in High Energy Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-26
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We present a quantum field theoretical derivation of the nondecay probability of an unstable particle with nonzero three-momentum p.
To this end, we use the (fully resummed) propagator of the unstable particle, denoted as S, to obtain the energy probability distribution, called dSp(E), as the imaginary part of the propagator.
The nondecay probability amplitude of the particle S with momentum p turns out to be, as usual, its Fourier transform: aSp(t)=∫mth2+p2∞dEdSp(E)e-iEt (mth is the lowest energy threshold in the rest frame of S and corresponds to the sum of masses of the decay products).
Upon a variable transformation, one can rewrite it as aSp(t)=∫mth∞dmdS0(m)e-imth2+p2t [here, dS0(m)≡dS(m) is the usual spectral function (or mass distribution) in the rest frame].
Hence, the latter expression, previously obtained by different approaches, is here confirmed in an independent and, most importantly, covariant QFT-based approach.
Its consequences are not yet fully explored but appear to be quite surprising (such as the fact that the usual time-dilatation formula does not apply); thus its firm understanding and investigation can be a fruitful subject of future research.
American Psychological Association (APA)
Giacosa, Francesco. 2018. QFT Derivation of the Decay Law of an Unstable Particle with Nonzero Momentum. Advances in High Energy Physics،Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1118097
Modern Language Association (MLA)
Giacosa, Francesco. QFT Derivation of the Decay Law of an Unstable Particle with Nonzero Momentum. Advances in High Energy Physics No. 2018 (2018), pp.1-7.
https://search.emarefa.net/detail/BIM-1118097
American Medical Association (AMA)
Giacosa, Francesco. QFT Derivation of the Decay Law of an Unstable Particle with Nonzero Momentum. Advances in High Energy Physics. 2018. Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1118097
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118097