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Physical Review D
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Physical Review D
Article . 2004 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2003
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Lifetime of kaonium

Authors: Krewald, S.; Lemmer, R. H.; Sassen, F. P.;

Lifetime of kaonium

Abstract

The kaon--antikaon system is studied in both the atomic and the strongly interacting sector. We discuss the influence of the structures of the $f_0(980)$ and the $a_0(980)$ mesons on the lifetime of kaonium. The strong interactions are generated by vector meson exchange within the framework of the standard $SU(3)_V\times SU(3)_A$ invariant effective Lagrangian. In the atomic sector, the energy levels and decay widths of kaonium are determined by an eigenvalue equation of the Kudryavtsev--Popov type, with the strong interaction effects entering through the complex scattering length for $K\bar K$ scattering and annihilation. The presence of two scalar mesons, $f_0(980)$ and $a_0(980)$, leads to a ground state energy for the kaonium atom that is shifted above the point Coulomb value by a few hundred eV. The effect on the lifetime for the kaonium decay into two pions is much more dramatic. This lifetime is reduced by two orders of magnitude from $0.8\times 10^{-16}$ sec for annihilation in a pure Coulomb field down to $3.1\times 10^{-18}$ sec when the strong interactions are included. The analysis of the two photon decay width of the $f_0(980)$ suggests a generalization of the molecular picture which reduces the lifetime of kaonium still further to $1.1\times 10^{-18}\textrm{sec}$.

33 pages, 12 figures;3 new figures and new comment concerning the a0

Country
Germany
Keywords

atom: exotic, potential, K anti-K: annihilation, K anti-K: scattering length, FOS: Physical sciences, f0(980), a0(980), bound state: lifetime, mass spectrum, bound state: wave function, High Energy Physics - Phenomenology (hep-ph), K: pair production, K+ K-: bound state, symmetry: SU(3) x SU(3), ground state, energy levels, info:eu-repo/classification/ddc/530, numerical calculations, tables, effective Lagrangian, bibliography, binding energy, pi+ pi-: annihilation, High Energy Physics - Phenomenology, vector meson: exchange

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
30
Average
Top 10%
Top 10%
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bronze
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