Dispersion relations for forward pion-pion scattering and their consistency with Wolf pion-pion phase shifts

1967 ◽  
Vol 17 (7) ◽  
pp. 575-585
Author(s):  
J. Pišút
Keyword(s):  
Phase Shifts ◽  
Dispersion Relations ◽  
Pion Scattering

BOOTSTRAPPING A HEAVY HIGGS

1988 ◽  
Vol 03 (03) ◽  
pp. 295-301 ◽  
Author(s):  
A.P. CONTOGOURIS ◽  
N. MEBARKI ◽  
D. ATWOOD ◽  
H. TANAKA
Keyword(s):  
Simple Model ◽  
Strong Interaction ◽  
Higgs Mass ◽  
Bound State ◽  
Interaction Effects ◽  
Phase Shifts ◽  
Dispersion Relations ◽  
S Wave ◽  
Self Consistent ◽  
Consistent Solution

Possible strong interaction effects arising when the Higgs mass MH is sufficiently large are investigated in the system of interacting Higgs, using dispersion relations (N/D method). A simple model indicates that for MH≳1 TeV several such effects are present: an 1=0 bound state, large s-wave phase shifts and a resonance-like state. In the range 1.5≲MH≲3.5 TeV the above bound state amounts to an approximate bootstrap (self-consistent) solution for the Higgs with respect to both its mass and coupling. Other aspects of the H-H strong interaction system are also investigated.

Negative Pion Scattering and the Dispersion Relations

1957 ◽  
Vol 108 (5) ◽  
pp. 1352-1353 ◽  
Author(s):  
M. H. Zaidi ◽  
E. L. Lomon
Keyword(s):  
Dispersion Relations ◽  
Pion Scattering ◽  
Negative Pion

Pion Scattering and Dispersion Relations

1958 ◽  
Vol 110 (5) ◽  
pp. 1134-1139 ◽  
Author(s):  
J. Hamilton
Keyword(s):  
Dispersion Relations ◽  
Pion Scattering

Pion-nucleon phase shifts and their implications

1966 ◽  
Vol 289 (1419) ◽  
pp. 547-558 ◽  
Keyword(s):  
Phase Shift ◽  
Phase Shifts ◽  
Dispersion Relations ◽  
Decay Modes ◽  
Pion Nucleon

We discuss recent π p phase shift analyses and evaluations of dispersion relations. Besides the D 13 resonance, which is much narrower than previously thought, they have revealed P 11 , S 11 and S 31 objects’ in the 500 to 800 MeV region, all with strong inelastic decay modes. The P 11 phase shift reaches 81°. S 11 and S 31 objects were predicted by SU (6), but the behaviour of P 11 is difficult to reconcile either with pure SU (6) or with the reciprocal NN * bootstrap.

Superconvergent Dispersion Relations and Pion-Pion Scattering Sum Rule

1969 ◽  
Vol 186 (5) ◽  
pp. 1567-1570 ◽  
Author(s):  
R. Acharya ◽  
H. H. Aly ◽  
P. Narayanaswamy
Keyword(s):  
Dispersion Relations ◽  
Sum Rule ◽  
Pion Scattering

THE PION-NUCLEON SIGMA TERM FROM UPDATED T-CHANNEL INPUT

2005 ◽  
Vol 20 (08n09) ◽  
pp. 1876-1879 ◽  
Author(s):  
M. HADZIMEHMEDOVIC ◽  
H. OSMANOVIC ◽  
J. STAHOV
Keyword(s):  
Partial Wave ◽  
Wave Solution ◽  
Phase Shifts ◽  
Dispersion Relations ◽  
Channel Input ◽  
Sigma Term ◽  
Pion Nucleon ◽  
Error Bars

Dispersion relations along interior hyperbolas and a set of hyperbolas passing through the Cheng-Dashen point are used to calculate the pion-nucleon sigma term. The t-channel input is updated using the recent GWU partial wave solution and ππ phase shifts from calculations based on Roy equations. Obtained values for the sigma term are still within the error bars of the previous Karlsruhe result.

Pion–pion scattering in a model satisfying crossing symmetry, analyticity, and approximate unitarity

1976 ◽  
Vol 54 (10) ◽  
pp. 1022-1033
Author(s):  
D. H. Boal ◽  
J. W. Moffat
Keyword(s):  
Phase Shift ◽  
Energy Region ◽  
Detailed Comparison ◽  
Phase Shifts ◽  
Low Energy ◽  
Pion Scattering ◽  
Crossing Symmetry ◽  
Mandelstam Analyticity ◽  
Good Agreement

Phase shifts for π–π scattering are obtained from a model satisfying Mandelstam analyticity, exact crossing symmetry, and approximate unitarity in the range 2mπ ≤ s1/2 ≤ 1.3 GeV. The low energy region is dominated by the ρ, ε, and S* poles; the δ00 phase shift is in good agreement with the data obtained by Protopopescu et al. A detailed comparison is made with the available world's data on π–π scattering.

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