Regge Models and Dispersion Relations for Partial Waves

1976 ◽  
Vol 24 (9) ◽  
pp. 477-505 ◽  
Author(s):  
F. Kaschluhnxs ◽  
M. Müller-Preussker
Keyword(s):  
Dispersion Relations ◽  
Partial Waves

PWA OF πN SCATTERING WITH FIXED-t DISPERSION RELATIONS

2005 ◽  
Vol 20 (08n09) ◽  
pp. 1810-1813
Author(s):  
PEKKO PIIROLA ◽  
M. E. SAINIO
Keyword(s):  
Data Base ◽  
Forward Direction ◽  
Dispersion Relations ◽  
Data Sets ◽  
Coupling Constant ◽  
Partial Waves ◽  
Scattering Measurements ◽  
Pion Nucleon ◽  
Good Agreement

The πN scattering measurements from last couple of decades are not in very good agreement with each other. In fact, using the different data sets one finds different values for the pion-nucleon coupling constant. An analysis with theoretical constraints is the only way to produce accurate partial waves. In this analysis, the fixed-t dispersion relations are used to ensure analyticity in the invariant amplitudes and to decrease the effects of inaccuracies in the data base. Pietarinen's expansion is the method used to enforce the dispersion constraints. The strength of the analyticity constraints is illustrated with C± amplitudes in the forward direction.

scholarly journals Global parameterization of $$\pi \pi $$ scattering up to 2 $${\mathrm {\,GeV}}$$

2019 ◽  
Vol 79 (12) ◽  
Author(s):  
J. R. Pelaez ◽  
A. Rodas ◽  
J. Ruiz de Elvira
Keyword(s):  
Experimental Data ◽  
Partial Wave ◽  
Real Axis ◽  
Complex Plane ◽  
Dispersion Relations ◽  
The Real ◽  
Partial Waves

AbstractWe provide global parameterizations of $$\pi \pi \rightarrow \pi \pi $$ππ→ππ scattering S0 and P partial waves up to roughly 2 GeV for phenomenological use. These parameterizations describe the output and uncertainties of previous partial-wave dispersive analyses of $$\pi \pi \rightarrow \pi \pi $$ππ→ππ, both in the real axis up to 1.12 $${\mathrm {\,GeV}}$$GeV and in the complex plane within their applicability region, while also fulfilling forward dispersion relations up to 1.43 $${\mathrm {\,GeV}}$$GeV. Above that energy we just describe the available experimental data. Moreover, the analytic continuations of these global parameterizations also describe accurately the dispersive determinations of the $$\sigma /f_0(500)$$σ/f0(500), $$f_0(980)$$f0(980) and $$\rho (770)$$ρ(770) pole parameters.

scholarly journals Celestial amplitudes: conformal partial waves and soft limits

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Dhritiman Nandan ◽  
Anders Schreiber ◽  
Anastasia Volovich ◽  
Michael Zlotnikov
Keyword(s):  
Partial Waves

Observation of the dispersion relations for quantized coherent spin waves excited by a microwave antenna

2020 ◽  
Vol 102 (21) ◽  
Author(s):  
Yoichi Shiota ◽  
Ryusuke Hisatomi ◽  
Takahiro Moriyama ◽  
Teruo Ono
Keyword(s):  
Spin Waves ◽  
Dispersion Relations ◽  
Microwave Antenna ◽  
Coherent Spin

scholarly journals On Plane Wave Solutions in Lorentz-Violating Extensions of Gravity

Galaxies ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 32
Author(s):  
J. R. Nascimento ◽  
A. Yu. Petrov ◽  
A. R. Vieira
Keyword(s):  
Plane Wave ◽  
Dispersion Relations ◽  
Wave Solutions ◽  
Higher Derivatives ◽  
Additive Term

In this paper, we obtain dispersion relations corresponding to plane wave solutions in Lorentz-breaking extensions of gravity with dimension 3, 4, 5 and 6 operators. We demonstrate that these dispersion relations display a usual Lorentz-invariant mode when the corresponding additive term involves higher derivatives.

Sign in / Sign up

Export Citation Format

Share Document