5-Fold Differential Cross Section

for unpolarized target and without recoil polarization 


The following notation of the coincidence cross section will be used in our calculations. Further details can be found in D. Drechsel and L. Tiator, J. Phys. G 18 (1992) 449-497. (scanned version)
(click here for a larger image)

On this page the complete 5-fold differential cross section and in addition the individual 2-fold cross sections dsT, dsL, dsLT, dsTT and SLT' will be calculated using electron kinematics. For virtual photon kinematics see our alternative page.
Note: The longitudinal cross sections (dsL, dsLT and dsLT') differ from those in Drechsel and Tiator, J. Phys. G18 (1992) 449. Here we do not use the longitudinal polarization epsilon_L!! 


Channel: (pi0,p) (pi0,n) (pi+,n) (pi-,p)
Model parameters: Born Rho Omega P33(1232) P11(1440)

D13(1520) S11(1535) S31(1620) S11(1650) F15(1680) D33(1700)
Change of S-wave low-energy corrections and type of pi-N coupling (click here for details)
E0+
S0+
PS-PV mixing range parameter Lambda 

Change values of resonance couplings (relative to standard values):
P33(1232)
 
S31(1620)
D33(1700)
M1+
E1+
S1+
E0+
S0+
M2-
E2-
S2-
P11(1440)
D13(1520)
S11(1535)
S11(1650)
F15(1680)
M1-
S1-
 
M2-
E2-
S2-
 
E0+
S0+
 
E0+
S0+
 
M3-
E3-
S3-
 
 

Choose kinematical variables for polarization definition
Enter values for electron beam energy Ei, scattered electron energy Ef,
electron scattering angle Qeland electron polarization hel:
Ei (MeV)
Ef (MeV)
Qel (deg) 
hel


choose an independent (running) variable: QF
choose values for Q, F, step size and maximum value:
 Q (deg)
F (deg) 
increment
upper value


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