Instanton-induced soft-pion wave function and hard-pion form factor

1996 ◽  
Vol 109 (4) ◽  
pp. 391-405 ◽  
Author(s):  
A. E. Dorokhov
Keyword(s):  
Wave Function ◽  
Form Factor ◽  
Pion Form Factor ◽  
Soft Pion ◽  
Pion Wave Function

scholarly journals Joint Resummation for TMD Wave Function of Pion

2015 ◽  
Vol 37 ◽  
pp. 1560049 ◽  
Author(s):  
Yu-Ming Wang
Keyword(s):  
Wave Function ◽  
Form Factor ◽  
Pion Form Factor ◽  
Coefficient Function ◽  
Gluon Emission ◽  
Transverse Momentum Dependent ◽  
Pion Wave Function ◽  
Factorization Formula ◽  
Distance Coefficient ◽  
Double Logarithm

QCD corrections to transverse-momentum-dependent pion wave function develop the mixed double logarithm [Formula: see text], when the gluon emission is collinear to the energetic pion. The fist scheme-independent kT factorization formula for γ*π → γ transition form factor is achieved by resumming all the enhanced logarithms for both pion wave function and short-distance coefficient function. High-order QCD corrections and transfer momentum [Formula: see text] dependence of pion form factor are found to be distinct from those predicted by the conventional resummation approach.

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.

One-boson-exchange potential based on a soft pion form factor

1990 ◽  
Vol 42 (4) ◽  
pp. R1195-R1199 ◽  
Author(s):  
K. Holinde ◽  
A. W. Thomas
Keyword(s):  
Form Factor ◽  
Pion Form Factor ◽  
Exchange Potential ◽  
Soft Pion ◽  
Boson Exchange

scholarly journals TRANSVERSE MOMENTUM DEPENDENCE IN THE PERTURBATIVE CALCULATION OF THE PION FORM FACTOR

1998 ◽  
Vol 13 (04) ◽  
pp. 253-262 ◽  
Author(s):  
FU-GUANG CAO ◽  
TAO HUANG
Keyword(s):  
Form Factor ◽  
Transverse Momentum ◽  
Energy Region ◽  
Pion Form Factor ◽  
Intermediate Energy ◽  
Momentum Dependence ◽  
Perturbative Calculation ◽  
Transverse Momentum Dependence ◽  
Pion Wave Function ◽  
Mild Reduction

Transverse momentum dependence in the perturbative calculation of the pion electromagnetic form factor is re-analyzed. It is found that (a) the intrinsic transverse momentum dependence associated with the pion wave function significantly suppresses perturbative prediction for the pion form factor at the energy region of a few GeV, and (b) the transverse momentum dependence in the fermion propagator of the hard scattering leads to a mild reduction of the perturbative calculation. Our formalism is available for both the intermediate energy region (Q~ a few GeV) and the asymptotic energy region (Q→∞).

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