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

The decay π0→γγ and the pion wave function

1991 ◽  
Vol 255 (1) ◽  
pp. 117-119 ◽  
Author(s):  
A.A. Pivovarov
Keyword(s):  
Wave Function ◽  
Pion Wave Function

scholarly journals New parameterization of the trinucleon wave function and its application to the π 3He scattering length

2003 ◽  
Vol 16 (3) ◽  
pp. 437-446 ◽  
Author(s):  
V. Baru ◽  
J. Haidenbauer ◽  
C. Hanhart ◽  
J.A. Niskanen
Keyword(s):  
Wave Function ◽  
Scattering Length

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.

scholarly journals PION FORM FACTORS AT INTERMEDIATE MOMENTUM TRANSFER IN A COVARIANT APPROACH

1996 ◽  
Vol 11 (04) ◽  
pp. 655-675 ◽  
Author(s):  
ADAM SZCZEPANIAK ◽  
ANTHONY G. WILLIAMS
Keyword(s):  
Wave Function ◽  
Form Factor ◽  
Momentum Transfer ◽  
Transition Form Factor ◽  
Form Factors ◽  
Transition Form ◽  
Gauge Invariant ◽  
Pion Wave Function ◽  
Covariant Gauge ◽  
Text Component

We study the pion electromagnetic and γ*+π0→γ transition form factors at intermediate momentum transfer. We calculate soft, nonperturbative corrections to the leading perturbative amplitudes which arise from the [Formula: see text] component of the pion wave function. We work in Minkowski space and use a Lorentz-covariant, gauge-invariant generalized perturbative integral representation for the [Formula: see text] amplitudes. For the transition form factor we find relative insensitivity to the detailed nonperturbative structure of the wave function for |q2|≳10 GeV 2, whereas considerable sensitivity is found for the electromagnetic form factor.

scholarly journals HIGHER TWIST EFFECTS IN PHOTON–PHOTON COLLISIONS

2008 ◽  
Vol 17 (06) ◽  
pp. 1041-1059 ◽  
Author(s):  
A. I. AHMADOV ◽  
I. BOZTOSUN ◽  
A. SOYLU ◽  
E. A. DADASHOV
Keyword(s):  
Wave Function ◽  
Cross Section ◽  
Cross Sections ◽  
Production Cross ◽  
Wave Functions ◽  
Feynman Diagrams ◽  
High Twist ◽  
Higher Twist Effects ◽  
Two Photon ◽  
Pion Wave Function

In this article, we investigate the contribution of the high twist Feynman diagrams to the large-pT single pseudoscalar and vector mesons inclusive production cross section in two-photon collisions and we present the general formulae for the high and leading twist differential cross sections. The pion wave function where two non-trivial Gegenbauer coefficients a2 and a4 have been extracted from the CLEO data, Braun–Filyanov pion wave function, the asymptotic and the Chernyak–Zhitnitsky wave functions are all used in the calculations. For ρ-meson we used the Ball–Braun wave function. The results of the calculations reveal that the high twist cross sections, the ratio R, the dependence transverse momentum pT and the rapidity y of meson in the Φ CLEO (x, Q2) wave function case is very close to the Φ asy (x) asymptotic wave function case. It is shown that the high twist contribution to the cross section depends on the choice of the meson wave functions.

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