Transcript Stoler ppt

Baryon Transition Form Factors and GPDs
•The resonance program has made very great progress during the past decade
and there have been many beautiful and insightful results as outline by Harry and Volker.
•However, many people in the community are unaware of this, the vitality
of the programs, and the connection of the program to the rest of the hadronic
physics.
•An exception is the People the N transition which is starting to become integrated
into the Lattice and GPD programs.
•Beyond that, most people outside of our community are unaware of the properties or
even the names of other resonances, even the strongest ones.
The connection with resonances and other exclusive reactions
is manifested through the formalism of GPDs
Elastic scattering:

 
F1P, N t   eq  H qP, N x,t dx
q

 
F2P, N t   eq  EqP, N x,t dx
q
Res onance N:
Fres,  (t) 
  H res, (x,t )dx
q
q
 
q
Eres,
 (x,t )dx  ggg
q
q
2
H res,
 (x,t) ~ )d k ...etc are the coefficients of current structures j in the transition amplitude
such as  ,  5 ,   ,  .
Connection of resonances and GPDs
1.
L.L. Frankfurt, M. V. Polyakov, M. Strikman, M. Vanderhaeghen.,Phys.Rev.Lett.84:2589-2592,2000.
2.
K. Goeke, M. V. Polyakov, M. Vanderhaeghen Prog.Part.Nucl.Phys.47:401-515,2001.
3.
P. Stoler Phys.Rev.Lett.91:172303,2003
4.
M. Guidal , M.V. Polyakov, A.V. Radyushkin, M. Vanderhaeghen, Phys.Rev.D72:054013,2005.
5.
V. Pascalutsa and M. Vanderhaeghen -Print Archive: hep-ph/0611050
Elastic scattering:

 
P, N
F1P, N t   eq  H 0q
x,t dx
q

 
F2P, N t   eq  E0qP, N x,t dx
q
H
P, N
0
(x,t) ~


F

(x, k ) IP, N (x, k )d 2 k ...etc.
N   proton:
G *Mp (t) 
 H
q
IV
N
(x,t )dx 
 H Mp (x,t)dx
IV
F2/F1
IV
 G Mp
(t)
GEN
E2+/M1+ (%)
G*M/GD
S1+/M1+ (%) +