M A I D 2003 (18.11.2003) D. Drechsel, S.S. Kamalov, L. Tiator Institut fuer Kernphysik, Universitaet Mainz ************************************************* *** 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 = .005 (GeV/c)^2; W = 1450.320 (MeV) ********************************************* 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 2.1028 -.0003 -.4376E-01 .2498E-01 .1509E-01 .2140E-01 1.0 2.1028 -.0004 -.4375E-01 .2499E-01 .1508E-01 .2139E-01 2.0 2.1028 -.0005 -.4370E-01 .2504E-01 .1506E-01 .2137E-01 3.0 2.1028 -.0008 -.4363E-01 .2512E-01 .1503E-01 .2133E-01 4.0 2.1028 -.0012 -.4352E-01 .2523E-01 .1498E-01 .2128E-01 5.0 2.1028 -.0016 -.4339E-01 .2537E-01 .1493E-01 .2122E-01 6.0 2.1028 -.0022 -.4322E-01 .2555E-01 .1486E-01 .2115E-01 7.0 2.1028 -.0029 -.4303E-01 .2575E-01 .1479E-01 .2107E-01 8.0 2.1028 -.0037 -.4280E-01 .2599E-01 .1471E-01 .2098E-01 9.0 2.1028 -.0046 -.4255E-01 .2625E-01 .1462E-01 .2089E-01 10.0 2.1028 -.0056 -.4226E-01 .2655E-01 .1454E-01 .2080E-01 11.0 2.1028 -.0067 -.4195E-01 .2688E-01 .1445E-01 .2070E-01 12.0 2.1028 -.0079 -.4161E-01 .2724E-01 .1436E-01 .2061E-01 13.0 2.1028 -.0092 -.4123E-01 .2763E-01 .1427E-01 .2051E-01 14.0 2.1028 -.0106 -.4083E-01 .2805E-01 .1418E-01 .2042E-01 15.0 2.1028 -.0121 -.4040E-01 .2850E-01 .1410E-01 .2033E-01 16.0 2.1028 -.0137 -.3994E-01 .2898E-01 .1402E-01 .2024E-01 17.0 2.1028 -.0154 -.3944E-01 .2949E-01 .1393E-01 .2015E-01 18.0 2.1028 -.0173 -.3892E-01 .3003E-01 .1386E-01 .2007E-01 19.0 2.1028 -.0192 -.3838E-01 .3060E-01 .1378E-01 .1999E-01 20.0 2.1028 -.0212 -.3780E-01 .3119E-01 .1370E-01 .1991E-01 21.0 2.1028 -.0233 -.3719E-01 .3182E-01 .1363E-01 .1984E-01 22.0 2.1028 -.0255 -.3656E-01 .3247E-01 .1356E-01 .1977E-01 23.0 2.1028 -.0278 -.3589E-01 .3315E-01 .1349E-01 .1970E-01 24.0 2.1028 -.0302 -.3520E-01 .3386E-01 .1343E-01 .1963E-01 25.0 2.1028 -.0327 -.3449E-01 .3460E-01 .1337E-01 .1957E-01 26.0 2.1028 -.0353 -.3374E-01 .3536E-01 .1330E-01 .1950E-01 27.0 2.1028 -.0380 -.3297E-01 .3616E-01 .1324E-01 .1945E-01 28.0 2.1028 -.0408 -.3217E-01 .3697E-01 .1318E-01 .1939E-01 29.0 2.1028 -.0437 -.3134E-01 .3781E-01 .1312E-01 .1933E-01 30.0 2.1028 -.0467 -.3049E-01 .3868E-01 .1307E-01 .1928E-01 31.0 2.1028 -.0497 -.2962E-01 .3958E-01 .1301E-01 .1923E-01 32.0 2.1028 -.0529 -.2871E-01 .4049E-01 .1295E-01 .1917E-01 33.0 2.1028 -.0561 -.2779E-01 .4144E-01 .1290E-01 .1912E-01 34.0 2.1028 -.0595 -.2684E-01 .4240E-01 .1284E-01 .1908E-01 35.0 2.1028 -.0629 -.2586E-01 .4339E-01 .1278E-01 .1903E-01 36.0 2.1028 -.0664 -.2486E-01 .4440E-01 .1273E-01 .1898E-01 37.0 2.1028 -.0700 -.2384E-01 .4544E-01 .1267E-01 .1893E-01 38.0 2.1028 -.0737 -.2280E-01 .4650E-01 .1261E-01 .1889E-01 39.0 2.1028 -.0774 -.2174E-01 .4757E-01 .1256E-01 .1884E-01 40.0 2.1028 -.0813 -.2065E-01 .4867E-01 .1250E-01 .1880E-01 41.0 2.1028 -.0852 -.1955E-01 .4979E-01 .1244E-01 .1876E-01 42.0 2.1028 -.0892 -.1842E-01 .5093E-01 .1238E-01 .1871E-01 43.0 2.1028 -.0933 -.1728E-01 .5209E-01 .1232E-01 .1867E-01 44.0 2.1028 -.0974 -.1612E-01 .5327E-01 .1226E-01 .1863E-01 45.0 2.1028 -.1016 -.1494E-01 .5447E-01 .1220E-01 .1858E-01 46.0 2.1028 -.1059 -.1375E-01 .5568E-01 .1214E-01 .1854E-01 47.0 2.1028 -.1103 -.1254E-01 .5692E-01 .1208E-01 .1850E-01 48.0 2.1028 -.1148 -.1131E-01 .5817E-01 .1201E-01 .1846E-01 49.0 2.1028 -.1193 -.1007E-01 .5943E-01 .1194E-01 .1842E-01 50.0 2.1028 -.1239 -.8823E-02 .6071E-01 .1188E-01 .1837E-01 51.0 2.1028 -.1286 -.7560E-02 .6201E-01 .1181E-01 .1833E-01 52.0 2.1028 -.1333 -.6286E-02 .6332E-01 .1174E-01 .1829E-01 53.0 2.1028 -.1381 -.5001E-02 .6465E-01 .1167E-01 .1825E-01 54.0 2.1028 -.1429 -.3708E-02 .6599E-01 .1159E-01 .1821E-01 55.0 2.1028 -.1478 -.2406E-02 .6735E-01 .1152E-01 .1816E-01 56.0 2.1028 -.1528 -.1097E-02 .6871E-01 .1144E-01 .1812E-01 57.0 2.1028 -.1578 .2178E-03 .7009E-01 .1137E-01 .1808E-01 58.0 2.1028 -.1629 .1538E-02 .7148E-01 .1129E-01 .1803E-01 59.0 2.1028 -.1681 .2861E-02 .7288E-01 .1121E-01 .1799E-01 60.0 2.1028 -.1733 .4188E-02 .7429E-01 .1112E-01 .1795E-01 61.0 2.1028 -.1785 .5517E-02 .7572E-01 .1104E-01 .1791E-01 62.0 2.1028 -.1838 .6846E-02 .7715E-01 .1096E-01 .1786E-01 63.0 2.1028 -.1892 .8174E-02 .7859E-01 .1087E-01 .1782E-01 64.0 2.1028 -.1946 .9501E-02 .8003E-01 .1078E-01 .1777E-01 65.0 2.1028 -.2000 .1083E-01 .8149E-01 .1069E-01 .1773E-01 66.0 2.1028 -.2055 .1215E-01 .8295E-01 .1059E-01 .1769E-01 67.0 2.1028 -.2111 .1346E-01 .8442E-01 .1050E-01 .1764E-01 68.0 2.1028 -.2167 .1477E-01 .8590E-01 .1040E-01 .1760E-01 69.0 2.1028 -.2223 .1607E-01 .8738E-01 .1031E-01 .1755E-01 70.0 2.1028 -.2279 .1737E-01 .8887E-01 .1021E-01 .1751E-01 71.0 2.1028 -.2336 .1865E-01 .9036E-01 .1010E-01 .1746E-01 72.0 2.1028 -.2393 .1993E-01 .9185E-01 .1000E-01 .1741E-01 73.0 2.1028 -.2451 .2119E-01 .9335E-01 .9895E-02 .1737E-01 74.0 2.1028 -.2509 .2244E-01 .9485E-01 .9788E-02 .1732E-01 75.0 2.1028 -.2567 .2367E-01 .9635E-01 .9679E-02 .1728E-01 76.0 2.1028 -.2626 .2489E-01 .9786E-01 .9569E-02 .1723E-01 77.0 2.1028 -.2684 .2610E-01 .9937E-01 .9456E-02 .1718E-01 78.0 2.1028 -.2743 .2728E-01 .1009E+00 .9342E-02 .1714E-01 79.0 2.1028 -.2802 .2845E-01 .1024E+00 .9226E-02 .1709E-01 80.0 2.1028 -.2862 .2960E-01 .1039E+00 .9108E-02 .1704E-01 81.0 2.1028 -.2921 .3073E-01 .1054E+00 .8988E-02 .1699E-01 82.0 2.1028 -.2981 .3183E-01 .1069E+00 .8867E-02 .1695E-01 83.0 2.1028 -.3041 .3292E-01 .1084E+00 .8744E-02 .1690E-01 84.0 2.1028 -.3101 .3398E-01 .1099E+00 .8619E-02 .1685E-01 85.0 2.1028 -.3161 .3501E-01 .1114E+00 .8493E-02 .1680E-01 86.0 2.1028 -.3221 .3602E-01 .1129E+00 .8364E-02 .1675E-01 87.0 2.1028 -.3281 .3700E-01 .1144E+00 .8234E-02 .1670E-01 88.0 2.1028 -.3342 .3796E-01 .1159E+00 .8103E-02 .1665E-01 89.0 2.1028 -.3402 .3889E-01 .1174E+00 .7970E-02 .1661E-01 90.0 2.1028 -.3462 .3979E-01 .1189E+00 .7835E-02 .1656E-01 91.0 2.1028 -.3523 .4066E-01 .1203E+00 .7699E-02 .1651E-01 92.0 2.1028 -.3583 .4150E-01 .1218E+00 .7561E-02 .1646E-01 93.0 2.1028 -.3643 .4230E-01 .1233E+00 .7421E-02 .1641E-01 94.0 2.1028 -.3704 .4308E-01 .1247E+00 .7280E-02 .1636E-01 95.0 2.1028 -.3764 .4382E-01 .1262E+00 .7138E-02 .1631E-01 96.0 2.1028 -.3824 .4453E-01 .1276E+00 .6994E-02 .1626E-01 97.0 2.1028 -.3884 .4520E-01 .1290E+00 .6848E-02 .1621E-01 98.0 2.1028 -.3944 .4584E-01 .1305E+00 .6702E-02 .1616E-01 99.0 2.1028 -.4003 .4644E-01 .1319E+00 .6554E-02 .1611E-01 100.0 2.1028 -.4063 .4701E-01 .1333E+00 .6404E-02 .1606E-01 101.0 2.1028 -.4122 .4754E-01 .1347E+00 .6254E-02 .1601E-01 102.0 2.1028 -.4182 .4804E-01 .1361E+00 .6102E-02 .1596E-01 103.0 2.1028 -.4240 .4850E-01 .1375E+00 .5948E-02 .1592E-01 104.0 2.1028 -.4299 .4892E-01 .1388E+00 .5794E-02 .1587E-01 105.0 2.1028 -.4358 .4930E-01 .1402E+00 .5639E-02 .1582E-01 106.0 2.1028 -.4416 .4964E-01 .1415E+00 .5482E-02 .1577E-01 107.0 2.1028 -.4474 .4995E-01 .1429E+00 .5325E-02 .1572E-01 108.0 2.1028 -.4531 .5022E-01 .1442E+00 .5166E-02 .1567E-01 109.0 2.1028 -.4588 .5045E-01 .1455E+00 .5007E-02 .1562E-01 110.0 2.1028 -.4645 .5064E-01 .1468E+00 .4846E-02 .1557E-01 111.0 2.1028 -.4702 .5079E-01 .1481E+00 .4685E-02 .1553E-01 112.0 2.1028 -.4758 .5091E-01 .1494E+00 .4523E-02 .1548E-01 113.0 2.1028 -.4814 .5098E-01 .1506E+00 .4361E-02 .1543E-01 114.0 2.1028 -.4869 .5102E-01 .1519E+00 .4197E-02 .1538E-01 115.0 2.1028 -.4924 .5102E-01 .1531E+00 .4033E-02 .1534E-01 116.0 2.1028 -.4979 .5098E-01 .1543E+00 .3869E-02 .1529E-01 117.0 2.1028 -.5033 .5090E-01 .1555E+00 .3704E-02 .1524E-01 118.0 2.1028 -.5086 .5079E-01 .1567E+00 .3538E-02 .1519E-01 119.0 2.1028 -.5139 .5064E-01 .1579E+00 .3373E-02 .1515E-01 120.0 2.1028 -.5192 .5045E-01 .1591E+00 .3207E-02 .1510E-01 121.0 2.1028 -.5244 .5023E-01 .1602E+00 .3040E-02 .1506E-01 122.0 2.1028 -.5295 .4998E-01 .1614E+00 .2874E-02 .1501E-01 123.0 2.1028 -.5346 .4968E-01 .1625E+00 .2708E-02 .1497E-01 124.0 2.1028 -.5397 .4936E-01 .1636E+00 .2541E-02 .1492E-01 125.0 2.1028 -.5446 .4900E-01 .1647E+00 .2375E-02 .1488E-01 126.0 2.1028 -.5496 .4861E-01 .1657E+00 .2209E-02 .1484E-01 127.0 2.1028 -.5544 .4819E-01 .1668E+00 .2043E-02 .1479E-01 128.0 2.1028 -.5592 .4773E-01 .1678E+00 .1877E-02 .1475E-01 129.0 2.1028 -.5639 .4725E-01 .1688E+00 .1712E-02 .1471E-01 130.0 2.1028 -.5686 .4674E-01 .1698E+00 .1548E-02 .1467E-01 131.0 2.1028 -.5732 .4620E-01 .1708E+00 .1384E-02 .1463E-01 132.0 2.1028 -.5777 .4564E-01 .1718E+00 .1221E-02 .1459E-01 133.0 2.1028 -.5821 .4505E-01 .1727E+00 .1059E-02 .1455E-01 134.0 2.1028 -.5865 .4443E-01 .1737E+00 .8972E-03 .1451E-01 135.0 2.1028 -.5908 .4380E-01 .1746E+00 .7368E-03 .1447E-01 136.0 2.1028 -.5951 .4314E-01 .1755E+00 .5775E-03 .1443E-01 137.0 2.1028 -.5992 .4246E-01 .1763E+00 .4195E-03 .1439E-01 138.0 2.1028 -.6033 .4177E-01 .1772E+00 .2629E-03 .1436E-01 139.0 2.1028 -.6073 .4106E-01 .1780E+00 .1077E-03 .1432E-01 140.0 2.1028 -.6112 .4033E-01 .1789E+00 -.4598E-04 .1428E-01 141.0 2.1028 -.6151 .3959E-01 .1797E+00 -.1979E-03 .1425E-01 142.0 2.1028 -.6188 .3883E-01 .1804E+00 -.3481E-03 .1421E-01 143.0 2.1028 -.6225 .3807E-01 .1812E+00 -.4964E-03 .1418E-01 144.0 2.1028 -.6261 .3730E-01 .1820E+00 -.6426E-03 .1415E-01 145.0 2.1028 -.6296 .3652E-01 .1827E+00 -.7867E-03 .1412E-01 146.0 2.1028 -.6330 .3573E-01 .1834E+00 -.9285E-03 .1408E-01 147.0 2.1028 -.6363 .3494E-01 .1841E+00 -.1068E-02 .1405E-01 148.0 2.1028 -.6396 .3415E-01 .1847E+00 -.1205E-02 .1402E-01 149.0 2.1028 -.6427 .3336E-01 .1854E+00 -.1339E-02 .1399E-01 150.0 2.1028 -.6458 .3257E-01 .1860E+00 -.1471E-02 .1397E-01 151.0 2.1028 -.6488 .3179E-01 .1866E+00 -.1599E-02 .1394E-01 152.0 2.1028 -.6516 .3101E-01 .1872E+00 -.1725E-02 .1391E-01 153.0 2.1028 -.6544 .3023E-01 .1878E+00 -.1848E-02 .1389E-01 154.0 2.1028 -.6571 .2947E-01 .1883E+00 -.1967E-02 .1386E-01 155.0 2.1028 -.6597 .2872E-01 .1889E+00 -.2083E-02 .1384E-01 156.0 2.1028 -.6622 .2798E-01 .1894E+00 -.2196E-02 .1381E-01 157.0 2.1028 -.6646 .2725E-01 .1899E+00 -.2305E-02 .1379E-01 158.0 2.1028 -.6669 .2654E-01 .1903E+00 -.2410E-02 .1377E-01 159.0 2.1028 -.6692 .2585E-01 .1908E+00 -.2511E-02 .1375E-01 160.0 2.1028 -.6713 .2518E-01 .1912E+00 -.2609E-02 .1373E-01 161.0 2.1028 -.6733 .2452E-01 .1916E+00 -.2703E-02 .1371E-01 162.0 2.1028 -.6752 .2390E-01 .1920E+00 -.2792E-02 .1369E-01 163.0 2.1028 -.6770 .2329E-01 .1924E+00 -.2877E-02 .1368E-01 164.0 2.1028 -.6787 .2271E-01 .1927E+00 -.2958E-02 .1366E-01 165.0 2.1028 -.6804 .2216E-01 .1930E+00 -.3035E-02 .1364E-01 166.0 2.1028 -.6819 .2164E-01 .1933E+00 -.3107E-02 .1363E-01 167.0 2.1028 -.6833 .2115E-01 .1936E+00 -.3174E-02 .1362E-01 168.0 2.1028 -.6846 .2068E-01 .1939E+00 -.3237E-02 .1360E-01 169.0 2.1028 -.6858 .2025E-01 .1941E+00 -.3295E-02 .1359E-01 170.0 2.1028 -.6869 .1986E-01 .1943E+00 -.3348E-02 .1358E-01 171.0 2.1028 -.6879 .1950E-01 .1945E+00 -.3396E-02 .1357E-01 172.0 2.1028 -.6888 .1917E-01 .1947E+00 -.3440E-02 .1356E-01 173.0 2.1028 -.6896 .1888E-01 .1949E+00 -.3478E-02 .1356E-01 174.0 2.1028 -.6902 .1863E-01 .1950E+00 -.3512E-02 .1355E-01 175.0 2.1028 -.6908 .1842E-01 .1951E+00 -.3540E-02 .1355E-01 176.0 2.1028 -.6913 .1824E-01 .1952E+00 -.3563E-02 .1354E-01 177.0 2.1028 -.6917 .1810E-01 .1953E+00 -.3581E-02 .1354E-01 178.0 2.1028 -.6919 .1800E-01 .1954E+00 -.3594E-02 .1353E-01 179.0 2.1028 -.6921 .1794E-01 .1954E+00 -.3602E-02 .1353E-01 180.0 2.1028 -.6921 .1792E-01 .1954E+00 -.3605E-02 .1353E-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 2.1028 -.0003 .1410E-01 -.6494E-02 .1624E-01 .5759E-01 1.0 2.1028 -.0004 .1410E-01 -.6497E-02 .1622E-01 .5759E-01 2.0 2.1028 -.0005 .1410E-01 -.6504E-02 .1618E-01 .5758E-01 3.0 2.1028 -.0008 .1410E-01 -.6516E-02 .1611E-01 .5756E-01 4.0 2.1028 -.0012 .1410E-01 -.6532E-02 .1601E-01 .5753E-01 5.0 2.1028 -.0016 .1409E-01 -.6553E-02 .1588E-01 .5749E-01 6.0 2.1028 -.0022 .1409E-01 -.6579E-02 .1572E-01 .5745E-01 7.0 2.1028 -.0029 .1408E-01 -.6610E-02 .1553E-01 .5740E-01 8.0 2.1028 -.0037 .1408E-01 -.6645E-02 .1531E-01 .5734E-01 9.0 2.1028 -.0046 .1407E-01 -.6685E-02 .1507E-01 .5727E-01 10.0 2.1028 -.0056 .1406E-01 -.6729E-02 .1480E-01 .5719E-01 11.0 2.1028 -.0067 .1405E-01 -.6778E-02 .1450E-01 .5711E-01 12.0 2.1028 -.0079 .1404E-01 -.6832E-02 .1418E-01 .5702E-01 13.0 2.1028 -.0092 .1403E-01 -.6890E-02 .1383E-01 .5692E-01 14.0 2.1028 -.0106 .1402E-01 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