S-wave pion-pion scattering in the stateT=0

1965 ◽  
Vol 36 (3) ◽  
pp. 1035-1038
Author(s):  
Ravinder Nath ◽  
L. K. Pande
Keyword(s):  
S Wave ◽  
1966 ◽  
Vol 41 (1) ◽  
pp. 48-66
Author(s):  
M. Huq
Keyword(s):  
S Wave ◽  

2005 ◽  
Vol 20 (15) ◽  
pp. 3476-3479
Author(s):  
◽  
T. Yamazaki

We present a lattice calculation of the scattering phase shift for the I = 2 S -wave pion-pion system in the continuum limit with two-flavor dynamical effect. Calculations are made at three lattice spacings, using the finite volume method proposed by Lüscher in the center of mass system, and its extension to the laboratory system by Rummukainen and Gottlieb.


1968 ◽  
Vol 28 (1) ◽  
pp. 41-43 ◽  
Author(s):  
G. Auberson ◽  
O. Piguet ◽  
G. Wanders
Keyword(s):  
S Wave ◽  

Author(s):  
Rajesh Kumar

<p>We investigate △S=1 weak transition in the light of most general Skyrme type lagrangian containing terms up to quartic terms in field gradients. The additional parameters in the lagrangian are taken from pion-pion scattering data. Our decay amplitudes for anticommutator term in the Skyrme lagrangian shows much improvement over the Skyrme values. S-wave decay amplitudes are also reasonably reproduced in the model.</p>


2015 ◽  
Vol 39 ◽  
pp. 1560090
Author(s):  
Yurii S. Surovtsev ◽  
Petr Bydžovský ◽  
Thomas Gutsche ◽  
Robert Kamiński ◽  
Valery E. Lyubovitskij ◽  
...  

The effect of isoscalar S-wave processes [Formula: see text] is considered in the analysis of data (from the ARGUS, CLEO, CUSB, Crystal Ball, Belle, BABAR collaborations) on the bottomonia decays — [Formula: see text] ([Formula: see text]). It is shown that the dipion mass spectra of these decays are explained by the unified mechanism related to the contribution of the multichannel [Formula: see text] scattering in the final states of these reactions. Since in the analysis the multichannel [Formula: see text]-scattering amplitudes did not change in comparison with the ones in our combined analysis of data on the multichannel [Formula: see text] scattering and on the charmonia decays — [Formula: see text] and [Formula: see text] (from the Crystal Ball, DM2, Mark II, Mark III, and BES II) — the results confirm all our earlier conclusions on the scalar mesons.


2004 ◽  
Vol 67 (7) ◽  
pp. 1355-1366 ◽  
Author(s):  
N. N. Achasov ◽  
G. N. Shestakov
Keyword(s):  
S Wave ◽  

1970 ◽  
Vol 33 (7) ◽  
pp. 521-524 ◽  
Author(s):  
T. Maung ◽  
G.E. Masek ◽  
E. Miller ◽  
H. Ruderman ◽  
W. Vernon ◽  
...  

2005 ◽  
Vol 20 (08n09) ◽  
pp. 1656-1661 ◽  
Author(s):  
SHIN NAN YANG ◽  
GUAN-YEU CHEN ◽  
SABIT S. KAMALOV ◽  
L. TIATOR ◽  
D. DRECHSEL

A self-consistent analysis of pion scattering and pion photoproduction within a coupled channels dynamical model is presented. The results indicate the existence of a third and a fourth S11 resonance with the masses 1846±47 and 2113±70 MeV . In the case of pion photoproduction, we found that background contributions to the imaginary part of the S-wave multipole become large and negative in the region of the S11(1535) resonance. Due to this fact, much larger resonance contributions are required in order to explain the results of the recent multipole analysis. For the first S11(1535) resonance we obtain a value of 72±2×10-3 GeV -1/2 for the electromagnetic helicity amplitude A1/2.


2009 ◽  
Vol 24 (28) ◽  
pp. 2285-2289 ◽  
Author(s):  
DEIRDRE BLACK ◽  
AMIR H. FARIBORZ ◽  
RENATA JORA ◽  
NAE WOONG PARK ◽  
JOSEPH SCHECHTER ◽  
...  

First it is shown that the tree amplitude for pion–pion scattering in the minimal linear sigma model has an exact expression which is proportional to a geometric series in the quantity [Formula: see text], where mB is the sigma mass which appears in the Lagrangian and is the only a priori unknown parameter in the model. This induces an infinite series for every predicted scattering length in which each term corresponds to a given order in the chiral perturbation theory counting. It is noted that, perhaps surprisingly, the pattern, though not the exact values, of chiral perturbation theory predictions for both the isotopic spin 0 and isotopic spin 2 s-wave pion–pion scattering lengths to orders p2, p4 and p6 seems to agree with this induced pattern. The values of the p8 terms are also given for comparison with a possible future chiral perturbation theory calculation. Further aspects of this approach and future directions are briefly discussed.


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