Final-state interaction and current algebra in k-3pi and eta-3pi decays

Neveu, A.; Scherk, J.

doi:10.1016/0003-4916(70)90268-X

Final-state interaction and current algebra in k-3pi and eta-3pi decays

A. Neveu
(
- Orsay, IPN
)
,
J. Scherk
(
- Orsay, IPN
)

1970

26 pages

Published in:

Annals Phys. 57 (1970) 39-64

DOI:

10.1016/0003-4916(70)90268-X

View in:

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Abstract: (Elsevier)

In a simple model of final-state interaction, we discuss the validity of the linear extrapolation in K → 3 π and η → 3π decays. Final-state interaction modifies the extrapolation between the physical points where the soft-pion approximation is valid by introducing quadratic and higher terms in the amplitude. Computation of the effect in the frame of the Khuri-Treiman equation shows that they are dominated by the ππ scattering in each of the two pions subchannels, so that the corrections come out mainly from two-body scattering effects. Comparison with current algebra, Veneziano model and experiment for the rates, slopes, quadratic terms in K → 3 π and η → 3π decays is given.

final state
3pi
current algebra
pi pi: final-state interaction
final-state interaction: pi pi

References(19)

Figures(0)

[1]

Pion-Pion Scattering and K + /- --> 3pi Decay

- Phys.Rev. 119 (1960) 1115-1121
•
DOI:
- 10.1103/PhysRev.119.1115

[2]

Intrinsic structure and low-energy pi pi scattering in K+- ---> 3 pi decay

G. Barton
(
- Oxford U.
)
,
C. Kacser
(
- Oxford U.
)

- Phys.Rev.Lett. 8 (1962) 226-228,
- Phys.Rev.Lett. 8 (1962) 353 (erratum)
•
DOI:
- 10.1103/PhysRevLett.8.226

[3]

Nonleptonic Decays of K Mesons

- Phys.Rev.Lett. 16 (1966) 19, 875-879
•
DOI:
- 10.1103/PhysRevLett.16.875

[4]

Equal Time Commutators and K Meson Decays

C.G. Callan
(
- Princeton U.
)
,
S.B. Treiman
(
- Princeton U.
)

- Phys.Rev.Lett. 16 (1966) 153-157
•
DOI:
- 10.1103/PhysRevLett.16.153

[5]

Algebra currents and the deviation from the |Δ I | = 1/2 rule in K → 3π decay

C. Bouchiat
(
- Orsay, LPT
)
,
Ph. Meyer
(
- Orsay, LPT
)

- Phys.Lett.B 25 (1967) 282-285
•
DOI:
- 10.1016/0370-2693(67)90015-9

[6]

D. Elias
,
J.C. Taylor

- Nuovo Cim. 44 (1966) 518

[7]

H.T. Nieh

- Phys.Rev.Lett. 20 (1968) 82

[8]

Current algebra and the decay $\eta \to 3\pi$

D.G. Sutherland

- Phys.Lett. 23 (1966) 384-385
•
DOI:
- 10.1016/0031-9163(66)90477-X

[9]

Current algebra and eta ---> 3 pi

J.S. Bell
(
- CERN
)
,
D.G. Sutherland
(
- CERN
)

- Nucl.Phys.B 4 (1968) 315-325,
- *Bell, M. (ed.) et al.: Quantum mechanics, high energy physics and accelerators* 328-338
•
DOI:
- 10.1016/0550-3213(68)90316-7