CGLN-, Helicity- and Invariant Amplitudes
M A I D 2003 (18.11.2003)
D. Drechsel, S.S. Kamalov, L. Tiator
Institut fuer Kernphysik, Universitaet Mainz
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*** gamma + proton >> pi0 + proton ***
all parameters are on default values
****** Invariant Amplitudes ******
(Definition of F.A. Berends et al., Nucl. Phys. B4 (1967) 1)
Q^2 = .000 (GeV/c)^2; W = 1232.000 (MeV)
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Theta s t Re(A1) Im(A1) Re(A2) Im(A2)
(deg) GeV^2 GeV^2 fm^2 fm^2 fm^4 fm^4
.0 1.5174 -.0008 .2251E-01 .3900E+00 -.1471E-02 -.7619E-01
10.0 1.5174 -.0026 .2143E-01 .3871E+00 -.1551E-02 -.7619E-01
20.0 1.5174 -.0080 .1821E-01 .3786E+00 -.1791E-02 -.7621E-01
30.0 1.5174 -.0167 .1290E-01 .3646E+00 -.2197E-02 -.7625E-01
40.0 1.5174 -.0286 .5577E-02 .3456E+00 -.2776E-02 -.7629E-01
50.0 1.5174 -.0432 -.3672E-02 .3222E+00 -.3534E-02 -.7635E-01
60.0 1.5174 -.0601 -.1473E-01 .2951E+00 -.4479E-02 -.7641E-01
70.0 1.5174 -.0789 -.2746E-01 .2652E+00 -.5611E-02 -.7649E-01
80.0 1.5174 -.0988 -.4169E-01 .2333E+00 -.6927E-02 -.7657E-01
90.0 1.5174 -.1194 -.5722E-01 .2006E+00 -.8414E-02 -.7666E-01
100.0 1.5174 -.1400 -.7374E-01 .1679E+00 -.1005E-01 -.7675E-01
110.0 1.5174 -.1600 -.9086E-01 .1362E+00 -.1178E-01 -.7684E-01
120.0 1.5174 -.1788 -.1081E+00 .1067E+00 -.1356E-01 -.7693E-01
130.0 1.5174 -.1957 -.1247E+00 .7997E-01 -.1532E-01 -.7701E-01
140.0 1.5174 -.2103 -.1400E+00 .5700E-01 -.1696E-01 -.7708E-01
150.0 1.5174 -.2222 -.1531E+00 .3840E-01 -.1838E-01 -.7714E-01
160.0 1.5174 -.2309 -.1633E+00 .2473E-01 -.1948E-01 -.7718E-01
170.0 1.5174 -.2363 -.1697E+00 .1636E-01 -.2018E-01 -.7721E-01
180.0 1.5174 -.2381 -.1719E+00 .1355E-01 -.2042E-01 -.7722E-01
Theta s t Re(A3) Im(A3) Re(A4) Im(A4)
(deg) GeV^2 GeV^2 fm^3 fm^3 fm^3 fm^3
.0 1.5174 -.0008 .6579E-01 -.2707E+00 -.5414E-01 .6184E+00
10.0 1.5174 -.0026 .6558E-01 -.2709E+00 -.5457E-01 .6183E+00
20.0 1.5174 -.0080 .6495E-01 -.2712E+00 -.5582E-01 .6179E+00
30.0 1.5174 -.0167 .6391E-01 -.2719E+00 -.5778E-01 .6173E+00
40.0 1.5174 -.0286 .6246E-01 -.2727E+00 -.6031E-01 .6166E+00
50.0 1.5174 -.0432 .6063E-01 -.2738E+00 -.6322E-01 .6156E+00
60.0 1.5174 -.0601 .5845E-01 -.2750E+00 -.6631E-01 .6145E+00
70.0 1.5174 -.0789 .5593E-01 -.2763E+00 -.6938E-01 .6134E+00
80.0 1.5174 -.0988 .5312E-01 -.2777E+00 -.7226E-01 .6121E+00
90.0 1.5174 -.1194 .5006E-01 -.2792E+00 -.7479E-01 .6109E+00
100.0 1.5174 -.1400 .4682E-01 -.2807E+00 -.7689E-01 .6096E+00
110.0 1.5174 -.1600 .4348E-01 -.2821E+00 -.7850E-01 .6085E+00
120.0 1.5174 -.1788 .4015E-01 -.2835E+00 -.7962E-01 .6074E+00
130.0 1.5174 -.1957 .3693E-01 -.2847E+00 -.8028E-01 .6065E+00
140.0 1.5174 -.2103 .3399E-01 -.2858E+00 -.8057E-01 .6057E+00
150.0 1.5174 -.2222 .3148E-01 -.2866E+00 -.8060E-01 .6050E+00
160.0 1.5174 -.2309 .2954E-01 -.2872E+00 -.8051E-01 .6046E+00
170.0 1.5174 -.2363 .2832E-01 -.2876E+00 -.8040E-01 .6043E+00
180.0 1.5174 -.2381 .2790E-01 -.2878E+00 -.8036E-01 .6042E+00
Theta s t Re(A5) Im(A5) Re(A6) Im(A6)
(deg) GeV^2 GeV^2 fm^4 fm^4 fm^3 fm^3
.0 1.5174 -.0008 .4499E+00 .1377E+01 .4494E-01 -.1188E-01
10.0 1.5174 -.0026 .4114E+00 .1248E+01 .4484E-01 -.1273E-01
20.0 1.5174 -.0080 .3283E+00 .9692E+00 .4452E-01 -.1524E-01
30.0 1.5174 -.0167 .2477E+00 .6981E+00 .4398E-01 -.1935E-01
40.0 1.5174 -.0286 .1867E+00 .4922E+00 .4325E-01 -.2493E-01
50.0 1.5174 -.0432 .1443E+00 .3480E+00 .4232E-01 -.3181E-01
60.0 1.5174 -.0601 .1155E+00 .2484E+00 .4121E-01 -.3979E-01
70.0 1.5174 -.0789 .9573E-01 .1788E+00 .3994E-01 -.4864E-01
80.0 1.5174 -.0988 .8215E-01 .1292E+00 .3853E-01 -.5808E-01
90.0 1.5174 -.1194 .7276E-01 .9324E-01 .3703E-01 -.6782E-01
100.0 1.5174 -.1400 .6628E-01 .6671E-01 .3548E-01 -.7759E-01
110.0 1.5174 -.1600 .6185E-01 .4691E-01 .3392E-01 -.8707E-01
120.0 1.5174 -.1788 .5890E-01 .3204E-01 .3242E-01 -.9597E-01
130.0 1.5174 -.1957 .5699E-01 .2087E-01 .3102E-01 -.1040E+00
140.0 1.5174 -.2103 .5581E-01 .1260E-01 .2978E-01 -.1110E+00
150.0 1.5174 -.2222 .5514E-01 .6641E-02 .2876E-01 -.1167E+00
160.0 1.5174 -.2309 .5478E-01 .2625E-02 .2799E-01 -.1208E+00
170.0 1.5174 -.2363 .5462E-01 .3057E-03 .2752E-01 -.1234E+00
180.0 1.5174 -.2381 .5457E-01 -.4528E-03 .2736E-01 -.1242E+00