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research
Study of ambiguities in
Ï€
−
p
→
Λ
K
0
\pi^-p\to \Lambda K^0
Ï€
−
p
→
Λ
K
0
scattering amplitudes
Authors
A. V. Anisovich
R. Beck
+5Â more
E. Klempt
V. A. Nikonov
A. V. Sarantsev
U. Thoma
Y. Wunderlich
Publication date
1 October 2013
Publisher
'Springer Science and Business Media LLC'
Doi
Cite
View
on
arXiv
Abstract
Amplitudes for the reaction
Ï€
−
p
→
Λ
K
0
\pi^-p\to \Lambda K^0
Ï€
−
p
→
Λ
K
0
are reconstructed from data on the differential cross section
d
σ
/
d
Ω
d\sigma/d\Omega
d
σ
/
d
Ω
, the recoil polarization
P
P
P
, and on the spin rotation parameter
β
\beta
β
. At low energies, no data on
β
\beta
β
exist, resulting in ambiguities. An approximation using
S
S
S
and
P
P
P
waves leads only to a fair description of the data on
d
σ
/
d
Ω
d\sigma/d\Omega
d
σ
/
d
Ω
and
P
P
P
; in this case, there are two sets of amplitudes. Including
D
D
D
waves, the data on
d
σ
/
d
Ω
d\sigma/d\Omega
d
σ
/
d
Ω
and
P
P
P
are well reproduced by the fit but now, there are several distinct solutions which describe the data with identical precision. In the range where the spin rotation parameter
β
\beta
β
was measured, a full and unambiguous reconstruction of the partial wave amplitudes is possible. The energy-independent amplitudes are compared to the energy dependent amplitudes which resulted from a coupled channel fit (BnGa2011-02) to a large data set including both pion and photo-induced reactions. Significant deviations are observed. Consistency between energy dependent and energy independent solutions by choosing the energy independent solution which is closest to the energy dependent solution. In a second step, the {\it known} energy dependent solution for low (or high) partial waves is imposed and only the high (or low) partial waves are fitted leading to smaller uncertainties
Similar works
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info:doi/10.1140%2Fepja%2Fi201...
Last time updated on 03/12/2019
EDP Sciences OAI-PMH repository (1.2.0)
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Last time updated on 10/04/2020