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On the validity of chiral perturbation theory for weak hyperon decays

Bijnens, J. LU ; Sonoda, H. and Wise, Mark B. (1985) In Nuclear Physics, Section B 261. p.185-198
Abstract

The predictions of chiral perturbation theory for the weak non-leptonic decays of hyperons are examined beyond the leading order. For the S-wave amplitudes we find that the leading corrections to lowest order chiral perturbation theory preserve the vanishing of the Σ+ → nπ+ amplitude. However, the Lee-Sugawara relation gets a large correction indicating a breakdown of chiral perturbation theory for this relation. For the P-wave amplitudes we find that the leading corrections to lowest order chiral perturbation theory are large indicating a breakdown of chiral perturbation theory for the P-wave amplitudes. The weak semileptonic hyperon decays are determined by baryon matrix elements of the left-handed current.... (More)

The predictions of chiral perturbation theory for the weak non-leptonic decays of hyperons are examined beyond the leading order. For the S-wave amplitudes we find that the leading corrections to lowest order chiral perturbation theory preserve the vanishing of the Σ+ → nπ+ amplitude. However, the Lee-Sugawara relation gets a large correction indicating a breakdown of chiral perturbation theory for this relation. For the P-wave amplitudes we find that the leading corrections to lowest order chiral perturbation theory are large indicating a breakdown of chiral perturbation theory for the P-wave amplitudes. The weak semileptonic hyperon decays are determined by baryon matrix elements of the left-handed current. Corrections to the predictions of lowest order chiral perturbation theory for these matrix elements are computed. These corrections are very small.

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author
publishing date
type
Contribution to journal
publication status
published
in
Nuclear Physics, Section B
volume
261
pages
14 pages
publisher
North-Holland
external identifiers
  • scopus:0000491740
ISSN
0550-3213
DOI
10.1016/0550-3213(85)90569-3
language
English
LU publication?
no
id
bd8ad1f5-b7ea-4610-b04e-7793703a1a4e
date added to LUP
2019-05-03 09:21:42
date last changed
2019-08-04 05:27:56
@article{bd8ad1f5-b7ea-4610-b04e-7793703a1a4e,
  abstract     = {<p>The predictions of chiral perturbation theory for the weak non-leptonic decays of hyperons are examined beyond the leading order. For the S-wave amplitudes we find that the leading corrections to lowest order chiral perturbation theory preserve the vanishing of the Σ<sup>+</sup> → nπ<sup>+</sup> amplitude. However, the Lee-Sugawara relation gets a large correction indicating a breakdown of chiral perturbation theory for this relation. For the P-wave amplitudes we find that the leading corrections to lowest order chiral perturbation theory are large indicating a breakdown of chiral perturbation theory for the P-wave amplitudes. The weak semileptonic hyperon decays are determined by baryon matrix elements of the left-handed current. Corrections to the predictions of lowest order chiral perturbation theory for these matrix elements are computed. These corrections are very small.</p>},
  author       = {Bijnens, J. and Sonoda, H. and Wise, Mark B.},
  issn         = {0550-3213},
  language     = {eng},
  month        = {01},
  pages        = {185--198},
  publisher    = {North-Holland},
  series       = {Nuclear Physics, Section B},
  title        = {On the validity of chiral perturbation theory for weak hyperon decays},
  url          = {http://dx.doi.org/10.1016/0550-3213(85)90569-3},
  volume       = {261},
  year         = {1985},
}