scholarly journals Two-pion scattering amplitude from Bethe-Salpeter wave function at the interaction boundary

2020 ◽  
Author(s):  
Takeshi Yamazaki ◽  
Yusuke Namekawa
Keyword(s):  
Wave Function ◽  
Scattering Amplitude ◽  
Pion Scattering

scholarly journals Pion-pion scattering amplitude. II. Improved analysis aboveK¯Kthreshold

2006 ◽  
Vol 74 (1) ◽  
Author(s):  
R. Kamiński ◽  
J. R. Peláez ◽  
F. J. Ynduráin
Keyword(s):  
Scattering Amplitude ◽  
Pion Scattering

Scattering by Two Impenetrable Spheres

1973 ◽  
Vol 51 (17) ◽  
pp. 1850-1860
Author(s):  
M. Razavy
Keyword(s):  
Wave Function ◽  
Scattering Amplitude ◽  
Hard Spheres ◽  
Scattering Length ◽  
Separation Of Variables ◽  
Scattered Wave ◽  
Simple Expression ◽  
Rigid Spheres ◽  
Low Energies ◽  
Bispherical Coordinates

The problem of multiple scattering by two rigid spheres is studied in the context of an effective range theory. At low energies, by expanding the total wave function in powers of the momentum of the incident particle, it is observed that the coefficients of different terms of the expansion are solutions of either Laplace or Poisson equations. These equations are separable in bispherical coordinates. Using the method of separation of variables, one can determine the scattering amplitude and its first and second derivatives with respect to momentum, at zero energy. In particular, a simple expression is obtained for the scattering length of two hard spheres. With the help of the Green's function in bispherical coordinates, it is shown that for any wavenumber, the scattered wave satisfies an inhomogeneous integral equation in two variables. Hence, the exact wave function and the scattering amplitude can be found numerically for all energies.

Impact Parameter Representations

1972 ◽  
Vol 50 (16) ◽  
pp. 1862-1875 ◽  
Author(s):  
A. N. Kamal
Keyword(s):  
Wave Function ◽  
Impact Parameter ◽  
Momentum Space ◽  
Scattering Amplitude ◽  
Function Approach ◽  
Coordinate Space ◽  
Energy Shell ◽  
Parameter Representation ◽  
The Relationship

A discussion of the Glauber and Blankenbecler–Goldberger impact parameter representation for the scattering amplitude is presented with emphasis on the wave function approach. The treatment makes clear the relationship between the approximations made to derive either of the two amplitudes. Both on-energy-shell and off-energy-shell scatterings are treated. A derivation of the two representations in momentum space is presented bringing out the relationship between the approximations in a coordinate space treatment and the momentum space treatment.

scholarly journals Pion Scattering Length from Two-Pion Wave Function

2005 ◽  
Vol 140 ◽  
pp. 305-307 ◽  
Author(s):  
S. Aoki ◽  
M. Fukugita ◽  
K-I. Ishikawa ◽  
N. Ishizuka ◽  
Y. Iwasaki ◽  
...  
Keyword(s):  
Wave Function ◽  
Scattering Length ◽  
Pion Scattering ◽  
Pion Wave Function

scholarly journals Elastic I=3/2 p -wave nucleon-pion scattering amplitude and the Δ(1232) resonance from Nf=2+1 lattice QCD

2018 ◽  
Vol 97 (1) ◽  
Author(s):  
Christian Walther Andersen ◽  
John Bulava ◽  
Ben Hörz ◽  
Colin Morningstar
Keyword(s):  
Lattice Qcd ◽  
Scattering Amplitude ◽  
P Wave ◽  
Pion Scattering

scholarly journals Pion-pion scattering amplitude

2005 ◽  
Vol 71 (7) ◽  
Author(s):  
J. R. Peláez ◽  
F. J. Ynduráin
Keyword(s):  
Scattering Amplitude ◽  
Pion Scattering

scholarly journals Multi-hadron spectroscopy in a large physical volume

2018 ◽  
Vol 175 ◽  
pp. 05026 ◽  
Author(s):  
John Bulava ◽  
Ben Hörz ◽  
Colin Morningstar
Keyword(s):  
Finite Volume ◽  
Scattering Amplitude ◽  
Pion Mass ◽  
Spatial Extent ◽  
Good Precision ◽  
Hadron Spectroscopy ◽  
Pion Scattering ◽  
Physical Pion ◽  
Physical Volume ◽  
Treat All

We demonstrate the effcacy of the stochastic LapH method to treat all-toall quark propagation on a Nf = 2 + 1 CLS ensemble with large linear spatial extent L = 5:5 fm, allowing us to obtain the benchmark elastic isovector p-wave pion-pion scattering amplitude to good precision already on a relatively small number of gauge configurations. These results hold promise for multi-hadron spectroscopy at close-to-physical pion mass with exponential finite-volume effects under control.

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