scholarly journals Elementary Particle Scattering Lengths and Resonances

1974 ◽  
Vol 27 (1) ◽  
pp. 13
Author(s):  
DC Peaslee
Keyword(s):  
Optical Potential ◽  
Scattering Length ◽  
Compound System ◽  
Zero Energy ◽  
S Wave ◽  
Nucleon System ◽  
Level Shifts ◽  
Wave States ◽  
Scattering Lengths

An investigation is made of the relation between scattering lengths and resonances in a two-nucleon system. For resonances Eo near zero energy the usual determination of an effective optical potential in mesonic atoms is limited, and it is shown here that the scattering length can only be represented usefully as a sum over resonances of the compound system if the condition IEolDI ~ (PDo)! Is satisfied, where D is the average spacing of s-wave states, p the density of target nucleons and Do the Compton volume of the reduced system. This condition is seen to be valid for mr:, nK and KK interactions and these systems are considered in some detail. It is shown that knowledge of the level shifts of each of these examples can help resolve present uncertainties in associated boson structure.

Zero-energy π−–D scattering: precise determination of the πN scattering lengths and of the charged coupling constant

2001 ◽  
Vol 684 (1-4) ◽  
pp. 380-382 ◽  
Author(s):  
B. Loiseau ◽  
T.E.O. Ericson ◽  
A.W. Thomas
Keyword(s):  
Precise Determination ◽  
Coupling Constant ◽  
Zero Energy ◽  
Scattering Lengths

CUSPS IN THE KAON DECAYS

2009 ◽  
Vol 24 (02n03) ◽  
pp. 214-221
Author(s):  
AKAKI RUSETSKY
Keyword(s):  
Effective Field Theory ◽  
Neutral Pion ◽  
Effective Field ◽  
S Wave ◽  
Kaon Decays ◽  
Cusp Region ◽  
The Difference ◽  
Scattering Lengths ◽  
Theory Framework

We consider two ways of the experimental determination of the S-wave ππ scattering lengths: from K → 3π decays and from Ke4 decays. In both cases the unitary cusps, which emerge due to the difference in the charged and neutral pion masses, play a crucial role. We construct a systematic effective field theory framework which can be used to describe decay amplitudes in the cusp region.

scholarly journals Determination of the S-wave π π scattering lengths from a study of K ±→π ± π 0 π 0 decays

2009 ◽  
Vol 64 (4) ◽  
pp. 589-608 ◽  
Author(s):  
J. R. Batley ◽  
A. J. Culling ◽  
G. Kalmus ◽  
C. Lazzeroni ◽  
D. J. Munday ◽  
...  
Keyword(s):  
S Wave ◽  
Scattering Lengths

Determination of the pion nucleon coupling constant and s-wave scattering lengths

1972 ◽  
Vol 48 (1) ◽  
pp. 205-224 ◽  
Author(s):  
V.K. Samaranayake ◽  
W.S. Woolcock
Keyword(s):  
Wave Scattering ◽  
Coupling Constant ◽  
S Wave ◽  
Pion Nucleon ◽  
Scattering Lengths

scholarly journals RECENT NA48/2 RESULTS ON Ke4 AND K3π DECAYS AND DETERMINATION OF THE ππ SCATTERING LENGTHS

2009 ◽  
Vol 24 (02n03) ◽  
pp. 488-492
Author(s):  
◽  
ANDREA BIZZETI
Keyword(s):  
Mass Spectrum ◽  
Invariant Mass ◽  
High Precision ◽  
Form Factors ◽  
Invariant Mass Spectrum ◽  
S Wave ◽  
Large Samples ◽  
Scattering Lengths

Large samples of K± → 3π and K± → π+π-e±ν (Ke4) decays have been collected by the NA48/2 experiment at CERN SPS. At the π+π- threshold, the π0π0 invariant mass spectrum of the decay K± → π±π0π0 xhibits a Wigner cusp, from which the S-wave ππ scattering lengths are extracted with high precision. The same scattering lengths are also independently determined from the accurate measurement of the form factors in the Ke4 decay K± → π+π-e±ν.

A determination of the πN coupling constant and the pion-nucleon s-wave scattering lengths

1972 ◽  
Vol 48 (2) ◽  
pp. 549-556 ◽  
Author(s):  
N. Sznajder Hald
Keyword(s):  
Wave Scattering ◽  
Coupling Constant ◽  
S Wave ◽  
Pion Nucleon ◽  
Scattering Lengths

The New Determination of the ηN S-wave Scattering Length From a Three-Channel, Multi-Resonance Amplitude Analysis

1998 ◽  
Vol 58 (1) ◽  
pp. 15-18 ◽  
Author(s):  
M Batinić ◽  
I Dadić ◽  
I Šlaus ◽  
A Švarc ◽  
B M K Nefkens ◽  
...  
Keyword(s):  
Wave Scattering ◽  
Scattering Length ◽  
S Wave ◽  
Amplitude Analysis ◽  
Resonance Amplitude

scholarly journals A PHENOMENOLOGICAL DETERMINATION OF THE PION-NUCLEON SCATTERING LENGTHS FROM PIONIC HYDROGEN

2005 ◽  
Vol 20 (08n09) ◽  
pp. 1650-1655 ◽  
Author(s):  
T. E. O. ERICSON ◽  
B. LOISEAU ◽  
S. WYCECH
Keyword(s):  
Short Range ◽  
Scattering Length ◽  
Hadronic Interaction ◽  
Pionic Hydrogen ◽  
Relativistic Approach ◽  
Pion Nucleon ◽  
Extended Charge ◽  
Model Independent ◽  
Scattering Lengths

A model independent expression for the electromagnetic corrections to a phenomenological hadronic pion-nucleon (πN) scattering length ah, extracted from pionic hydrogen, is obtained. In a non-relativistic approach and using an extended charge distribution, these corrections are derived up to terms of order α2 log α in the limit of a short-range hadronic interaction. We infer [Formula: see text] which gives for the πNN coupling through the GMO relation [Formula: see text].

Low energy Λp → Λp cross section measurement and determination of S-wave scattering lengths

1966 ◽  
Vol 19 (8) ◽  
pp. 715-719 ◽  
Author(s):  
G. Alexander ◽  
O. Benary ◽  
U. Karshon ◽  
A. Shapira ◽  
G. Yukutieli ◽  
...  
Keyword(s):  
Cross Section ◽  
Wave Scattering ◽  
Low Energy ◽  
S Wave ◽  
Cross Section Measurement ◽  
Section Measurement ◽  
Scattering Lengths
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