************************************************************************** These are published data of the HERMES Collaboration. You are free to use these data in any publication. However, you must make a reference to the following publication: A. Airapetian et al, EPJC 62 (2009) 659-694 ************************************************************************** Fig. 9 represents the results on 23 SDMEs for proton and deuteron in the entire kinematics, which are presented in Tab.1 of the paper and below. proton deuteron element SDME +- stat +- syst SDME +- stat +- syst r^{04}_{00} 0.412 +- 0.010 +- 0.010 0.416 +- 0.007 +- 0.013 r^1_{1-1} 0.246 +- 0.011 +- 0.019 0.247 +- 0.008 +- 0.014 Im r^2_{1-1} -0.227 +- 0.010 +- 0.012 -0.234 +- 0.008 +- 0.019 Re r^5_{10} 0.161 +- 0.004 +- 0.010 0.165 +- 0.003 +- 0.010 Im r^6_{10} -0.167 +- 0.003 +- 0.009 -0.156 +- 0.003 +- 0.006 Im r^7_{10} 0.112 +- 0.021 +- 0.011 0.104 +- 0.016 +- 0.004 Re r^8_{10} 0.074 +- 0.019 +- 0.006 0.114 +- 0.014 +- 0.009 Re r^{04}_{10} 0.031 +- 0.004 +- 0.008 0.030 +- 0.003 +- 0.008 Re r^1_{10} -0.032 +- 0.007 +- 0.012 -0.020 +- 0.006 +- 0.010 Im r^2_{10} 0.022 +- 0.007 +- 0.015 0.014 +- 0.006 +- 0.017 r^5_{00} 0.109 +- 0.009 +- 0.009 0.111 +- 0.007 +- 0.008 r^1_{00} 0.011 +- 0.019 +- 0.008 -0.038 +- 0.015 +- 0.016 Im r^3_{10} -0.017 +- 0.015 +- 0.004 0.031 +- 0.011 +- 0.003 r^8_{00} 0.035 +- 0.050 +- 0.010 0.053 +- 0.038 +- 0.006 r^5_{11} -0.01 +- 0.003 +- 0.013 -0.021 +- 0.003 +- 0.013 r^5_{1-1} 0.005 +- 0.004 +- 0.006 0.013 +- 0.003 +- 0.006 Im r^6_{1-1} -0.002 +- 0.004 +- 0.007 -0.007 +- 0.003 +- 0.006 Im r^7_{1-1} -0.035 +- 0.030 +- 0.005 -0.058 +- 0.023 +- 0.009 r^8_{11} 0.036 +- 0.024 +- 0.001 0.026 +- 0.018 +- 0.003 r^8_{1-1} 0.019 +- 0.029 +- 0.005 -0.066 +- 0.022 +- 0.008 r^{04}_{1-1} -0.011 +- 0.005 +- 0.005 -0.002 +- 0.004 +- 0.008 r^1_{11} -0.025 +- 0.007 +- 0.008 -0.002 +- 0.006 +- 0.013 Im r^3_{1-1} -0.024 +- 0.018 +- 0.001 -0.004 +- 0.014 +- 0.004 In addition, a certain relationships between the SDMEs are presented: relation proton SCHC? deuteron SCHC? r^{1}_{1-1} + Im r^{2}_{1-1} 0.018 +- 0.012 +- 0.011 0.013 +- 0.009 +- 0.014 Re r^{5}_{10} + Im r^{6}_{10} -0.006 +- 0.004 +- 0.001 0.010 +- 0.003 +- 0.005 Im r^{7}_{10} - Re r^{8}_{10} 0.038 +- 0.029 +- 0.006 -0.011 +- 0.022 +- 0.006 relation proton SCHC and NPE? deuteron SCHC and NPE? 1-r^{04}_{00}-2r^{1}_{1-1} 0.097 +- 0.017 +- 0.046 0.091 +- 0.013 +- 0.038 ################################################################################## Figs. 10, 11, 13, 14, 15 represent the Q^2 and t' dependences of SDMEs for proton and deuteron. Theses data are presented in Tabs. 2, 3, 4, 6, 7 of the paper, and below. In addition, the x_B depends of SDMEs is presented for proton and deuteron, and below as well. -------- Table 2. The definition of intervals and the mean values for kinematic variables for hydrogen (deuterium) data. bin <Q^2>, GeV^2 1 < Q^2 < 7 1.95 (1.94) 0.5 < Q^2 < 1.0 0.82 (0.82) 1.0 < Q^2 < 1.4 1.19 (1.18) 1.4 < Q^2 < 2 1.66 (1.66) 2 < Q^2 < 7 3.06 (3.04) bin <t'>, GeV^2 0.0 < -t' < 0.04 0.019 (0.018) 0.04 < -t' < 0.10 0.068 (0.068) 0.10 < -t' < 0.20 0.146 (0.145) 0.20 < -t' < 0.40 0.281 (0.283) bin <x_B> 0.0 < x_B < 0.05 0.042 (0.042) 0.05 < x_B < 0.08 0.064 (0.064) 0.08 < x_B < 0.35 0.120 (0.119) bin 1 < Q^{2} < 7 <\epsilon> = 0.80 +- 0.01 -------- Table 3. The 23 unpolarized and polarized SDMEs of $\rho^0$ for the proton for bins in Q^2 (0.5 - 1.0 - 1.4 - 2.0 - 7.0 GeV$^2$). The first uncertainties are statistical, the second systematic. Element <Q^2> =0.82 GeV^2 <Q^2> =1.19 GeV^2 <Q^2> =1.66 GeV^2 <Q^2> =3.06 GeV^2 r^{04}_{00} 0.349 +- 0.026 +- 0.061 0.368 +- 0.018 +- 0.011 0.397 +- 0.017 +- 0.018 0.454 +- 0.014 +- 0.011 r^1_{1-1} 0.283 +- 0.023 +- 0.049 0.262 +- 0.018 +- 0.024 0.274 +- 0.019 +- 0.024 0.204 +- 0.017 +- 0.012 Im r^2_{1-1} -0.294 +- 0.019 +- 0.038 -0.255 +- 0.016 +- 0.022 -0.239 +- 0.017 +- 0.011 -0.197 +- 0.017 +- 0.012 Re r^5_{10} 0.151 +- 0.028 +- 0.026 0.171 +- 0.007 +- 0.000 0.161 +- 0.006 +- 0.004 0.141 +- 0.006 +- 0.008 Im r^6_{10} -0.149 +- 0.015 +- 0.010 -0.167 +- 0.007 +- 0.003 -0.167 +- 0.006 +- 0.005 -0.156 +- 0.006 +- 0.010 Im r^7_{10} 0.079 +- 0.068 +- 0.011 0.092 +- 0.038 +- 0.010 0.039 +- 0.036 +- 0.004 0.187 +- 0.034 +- 0.018 Re r^8_{10} 0.040 +- 0.043 +- 0.011 0.020 +- 0.031 +- 0.008 0.074 +- 0.034 +- 0.002 0.098 +- 0.032 +- 0.005 Re r^{04}_{10} 0.028 +- 0.028 +- 0.020 0.029 +- 0.007 +- 0.003 0.035 +- 0.007 +- 0.011 0.026 +- 0.007 +- 0.003 Re r^1_{10} -0.037 +- 0.044 +- 0.032 -0.043 +- 0.012 +- 0.006 -0.036 +- 0.012 +- 0.012 -0.009 +- 0.013 +- 0.010 Im r^2_{10} 0.023 +- 0.019 +- 0.007 0.022 +- 0.012 +- 0.018 0.005 +- 0.012 +- 0.024 0.022 +- 0.013 +- 0.008 r^5_{00} 0.121 +- 0.038 +- 0.039 0.094 +- 0.017 +- 0.017 0.057 +- 0.015 +- 0.019 0.151 +- 0.015 +- 0.007 r^1_{00} -0.054 +- 0.039 +- 0.013 0.011 +- 0.032 +- 0.018 0.007 +- 0.031 +- 0.009 0.037 +- 0.034 +- 0.002 Im r^3_{10} 0.002 +- 0.041 +- 0.008 -0.041 +- 0.026 +- 0.005 -0.074 +- 0.025 +- 0.005 0.048 +- 0.024 +- 0.006 r^8_{00} 0.022 +- 0.079 +- 0.026 0.040 +- 0.084 +- 0.014 0.054 +- 0.086 +- 0.011 0.010 +- 0.085 +- 0.016 r^5_{11} -0.015 +- 0.010 +- 0.007 -0.011 +- 0.006 +- 0.006 -0.008 +- 0.006 +- 0.011 -0.021 +- 0.006 +- 0.016 r^5_{1-1} 0.009 +- 0.011 +- 0.019 0.008 +- 0.007 +- 0.006 -0.013 +- 0.007 +- 0.003 0.020 +- 0.007 +- 0.008 Im r^6_{1-1} -0.011 +- 0.010 +- 0.013 0.002 +- 0.007 +- 0.007 0.002 +- 0.007 +- 0.004 -0.010 +- 0.007 +- 0.007 Im r^7_{1-1} -0.003 +- 0.078 +- 0.021 0.023 +- 0.056 +- 0.013 -0.005 +- 0.055 +- 0.010 -0.109 +- 0.047 +- 0.004 r^8_{11} 0.019 +- 0.053 +- 0.007 0.056 +- 0.045 +- 0.004 0.051 +- 0.044 +- 0.006 -0.002 +- 0.035 +- 0.005 r^8_{1-1} 0.013 +- 0.062 +- 0.008 0.072 +- 0.053 +- 0.011 -0.018 +- 0.054 +- 0.004 0.004 +- 0.045 +- 0.014 r^{04}_{1-1}-0.024 +- 0.013 +- 0.021 -0.014 +- 0.010 +- 0.010 -0.019 +- 0.010 +- 0.003 0.001 +- 0.009 +- 0.007 r^1_{11} -0.039 +- 0.017 +- 0.018 -0.034 +- 0.013 +- 0.013 -0.023 +- 0.013 +- 0.008 -0.018 +- 0.012 +- 0.010 Im r^3_{1-1} 0.021 +- 0.051 +- 0.010 0.000 +- 0.033 +- 0.004 -0.031 +- 0.032 +- 0.007 -0.026 +- 0.028 +- 0.005 -------- Table 4. The 23 unpolarized and polarized SDMEs of \rho^0 for the proton for bins in -t' (0.0 - 0.04 - 0.1 - 0.2 - 0.4 GeV$^2$). The first uncertainties are statistical, the second systematic. Element <-t'>=0.019 GeV^2 <-t'>=0.068 GeV^2 <-t'>=0.146 GeV^2 <-t'>=0.281 GeV^2 r^{04}_{00} 0.393 +- 0.018 +- 0.019 0.394 +- 0.018 +- 0.025 0.415 +- 0.019 +- 0.021 0.481 +- 0.019 +- 0.028 r^1_{1-1} 0.235 +- 0.021 +- 0.014 0.265 +- 0.021 +- 0.012 0.260 +- 0.020 +- 0.031 0.203 +- 0.020 +- 0.030 Im r^2_{1-1} -0.204 +- 0.020 +- 0.008 -0.243 +- 0.019 +- 0.011 -0.232 +- 0.019 +- 0.041 -0.231 +- 0.019 +- 0.021 Re r^5_{10} 0.156 +- 0.007 +- 0.005 0.156 +- 0.007 +- 0.010 0.153 +- 0.007 +- 0.007 0.153 +- 0.008 +- 0.009 Im r^6_{10} -0.162 +- 0.007 +- 0.005 -0.170 +- 0.007 +- 0.010 -0.155 +- 0.007 +- 0.006 -0.153 +- 0.008 +- 0.008 Im r^7_{10} 0.103 +- 0.040 +- 0.007 0.112 +- 0.040 +- 0.007 0.081 +- 0.042 +- 0.011 0.163 +- 0.047 +- 0.033 Re r^8_{10} 0.042 +- 0.037 +- 0.011 0.059 +- 0.037 +- 0.006 0.100 +- 0.036 +- 0.013 0.114 +- 0.039 +- 0.015 Re r^{04}_{10} 0.018 +- 0.008 +- 0.004 0.027 +- 0.008 +- 0.011 0.035 +- 0.008 +- 0.007 0.038 +- 0.008 +- 0.003 Re r^1_{10} -0.009 +- 0.014 +- 0.005 -0.045 +- 0.014 +- 0.024 -0.013 +- 0.015 +- 0.009 -0.046 +- 0.016 +- 0.015 Im r^2_{10} -0.001 +- 0.014 +- 0.011 0.030 +- 0.014 +- 0.019 0.015 +- 0.013 +- 0.019 0.030 +- 0.015 +- 0.013 r^5_{00} 0.039 +- 0.016 +- 0.001 0.068 +- 0.016 +- 0.030 0.136 +- 0.018 +- 0.010 0.219 +- 0.020 +- 0.022 r^1_{00} 0.019 +- 0.035 +- 0.020 0.015 +- 0.035 +- 0.027 -0.026 +- 0.036 +- 0.021 -0.005 +- 0.041 +- 0.013 Im r^3_{10} -0.035 +- 0.028 +- 0.001 -0.044 +- 0.027 +- 0.004 0.018 +- 0.029 +- 0.007 0.009 +- 0.032 +- 0.025 r^8_{00} -0.013 +- 0.103 +- 0.011 0.128 +- 0.097 +- 0.012 -0.028 +- 0.095 +- 0.028 0.066 +- 0.097 +- 0.012 r^5_{11} -0.009 +- 0.007 +- 0.004 -0.011 +- 0.006 +- 0.009 -0.009 +- 0.007 +- 0.011 -0.031 +- 0.006 +- 0.024 r^5_{1-1} -0.009 +- 0.008 +- 0.003 0.005 +- 0.008 +- 0.004 0.003 +- 0.008 +- 0.008 0.012 +- 0.008 +- 0.008 Im r^6_{1-1} 0.010 +- 0.008 +- 0.002 -0.010 +- 0.008 +- 0.008 0.006 +- 0.008 +- 0.003 -0.009 +- 0.008 +- 0.002 Im r^7_{1-1} -0.034 +- 0.064 +- 0.011 -0.040 +- 0.060 +- 0.004 -0.076 +- 0.060 +- 0.015 -0.005 +- 0.058 +- 0.008 r^8_{11} 0.018 +- 0.050 +- 0.003 -0.010 +- 0.048 +- 0.009 0.061 +- 0.045 +- 0.006 0.068 +- 0.042 +- 0.006 r^8_{1-1} 0.021 +- 0.062 +- 0.005 0.024 +- 0.058 +- 0.009 -0.019 +- 0.055 +- 0.007 0.051 +- 0.053 +- 0.006 r^{04}_{1-1} 0.008 +- 0.011 +- 0.003 0.008 +- 0.011 +- 0.010 -0.033 +- 0.011 +- 0.008 -0.029 +- 0.010 +- 0.003 r^1_{11} -0.022 +- 0.015 +- 0.016 0.002 +- 0.015 +- 0.009 -0.036 +- 0.014 +- 0.003 -0.034 +- 0.014 +- 0.012 Im r^3_{1-1} -0.038 +- 0.036 +- 0.008 -0.015 +- 0.035 +- 0.001 -0.014 +- 0.036 +- 0.006 -0.036 +- 0.036 +- 0.010 -------- Table 5. The 23 unpolarized and polarized SDMEs of \rho^0 for the proton for bins in x_B (0.0 - 0.05 - 0.08 - 0.35 ). The first uncertainties are statistical, the second systematic. Element <x_B>=0.042 <x_B>=0.064 <x_B>=0.120 r^{04}_{00} 0.349 +- 0.044 +- 0.031 0.405 +- 0.017 +- 0.013 0.448 +- 0.014 +- 0.012 r^1_{1-1} 0.297 +- 0.036 +- 0.006 0.253 +- 0.014 +- 0.023 0.216 +- 0.015 +- 0.019 Im r^2_{1-1} -0.308 +- 0.032 +- 0.024 -0.229 +- 0.031 +- 0.008 -0.198 +- 0.014 +- 0.015 Re r^5_{10} 0.151 +- 0.027 +- 0.014 0.176 +- 0.008 +- 0.007 0.146 +- 0.006 +- 0.012 Im r^6_{10} -0.172 +- 0.015 +- 0.006 -0.169 +- 0.005 +- 0.003 -0.157 +- 0.006 +- 0.012 Im r^7_{10} 0.132 +- 0.067 +- 0.015 0.045 +- 0.061 +- 0.016 0.160 +- 0.032 +- 0.018 Re r^8_{10} 0.021 +- 0.041 +- 0.002 0.067 +- 0.042 +- 0.000 0.092 +- 0.032 +- 0.011 Re r^{04}_{10} 0.023 +- 0.021 +- 0.005 0.038 +- 0.017 +- 0.010 0.033 +- 0.006 +- 0.005 Re r^1_{10} -0.013 +- 0.035 +- 0.014 -0.050 +- 0.011 +- 0.010 -0.021 +- 0.011 +- 0.019 Im r^2_{10} 0.035 +- 0.021 +- 0.017 0.009 +- 0.022 +- 0.015 0.027 +- 0.011 +- 0.017 r^5_{00} 0.079 +- 0.051 +- 0.034 0.056 +- 0.013 +- 0.017 0.130 +- 0.013 +- 0.014 r^1_{00} 0.044 +- 0.064 +- 0.016 0.000 +- 0.029 +- 0.005 0.067 +- 0.030 +- 0.007 Im r^3_{10} -0.025 +- 0.042 +- 0.001 -0.067 +- 0.033 +- 0.001 0.014 +- 0.022 +- 0.005 r^8_{00} 0.100 +- 0.092 +- 0.011 0.030 +- 0.074 +- 0.003 -0.005 +- 0.090 +- 0.031 r^5_{11} 0.005 +- 0.022 +- 0.011 -0.014 +- 0.011 +- 0.005 -0.019 +- 0.004 +- 0.016 r^5_{1-1} -0.014 +- 0.020 +- 0.002 0.017 +- 0.007 +- 0.004 0.000 +- 0.006 +- 0.005 Im r^6_{1-1} 0.000 +- 0.017 +- 0.003 0.003 +- 0.014 +- 0.007 -0.001 +- 0.006 +- 0.007 Im r^7_{1-1} 0.019 +- 0.099 +- 0.012 0.071 +- 0.135 +- 0.019 -0.142 +- 0.044 +- 0.010 r^8_{11} 0.042 +- 0.060 +- 0.007 0.081 +- 0.079 +- 0.008 -0.002 +- 0.033 +- 0.009 r^8_{1-1} 0.089 +- 0.065 +- 0.003 0.031 +- 0.077 +- 0.003 0.005 +- 0.043 +- 0.009 r^{04}_{1-1} -0.025 +- 0.020 +- 0.007 -0.001 +- 0.012 +- 0.010 -0.016 +- 0.008 +- 0.003 r^1_{11} -0.067 +- 0.030 +- 0.008 -0.018 +- 0.014 +- 0.011 -0.032 +- 0.010 +- 0.009 Im r^3_{1-1} -0.020 +- 0.067 +- 0.014 -0.017 +- 0.061 +- 0.009 -0.001 +- 0.026 +- 0.004 ----------------------------------------------- Tables of data on Deuterium target are below. -------- Table 6. The 23 unpolarized and polarized \rho^0 SDMEs for the deuteron for bins in Q^2 (0.5 - 1.0 - 1.4 - 2.0 - 7.0 GeV^2). The first uncertainties are statistical, the second systematic. Element <Q^2>=0.82 GeV^2 <Q^2>=1.18 GeV^2 <Q^2>=1.66 GeV^2 <Q^2>=3.04 GeV^2 r^{04}_{00} 0.365 +- 0.015 +- 0.058 0.386 +- 0.017 +- 0.010 0.445 +- 0.012 +- 0.022 0.407 +- 0.011 +- 0.013 r^1_{1-1} 0.294 +- 0.013 +- 0.060 0.278 +- 0.016 +- 0.022 0.235 +- 0.013 +- 0.012 0.216 +- 0.014 +- 0.008 Im r^2_{1-1} -0.287 +- 0.014 +- 0.047 -0.267 +- 0.013 +- 0.034 -0.194 +- 0.014 +- 0.020 -0.219 +- 0.014 +- 0.017 Re r^5_{10} 0.159 +- 0.008 +- 0.025 0.173 +- 0.005 +- 0.002 0.160 +- 0.005 +- 0.006 0.154 +- 0.005 +- 0.005 Im r^6_{10} -0.159 +- 0.008 +- 0.015 -0.165 +- 0.005 +- 0.001 -0.155 +- 0.005 +- 0.003 -0.139 +- 0.005 +- 0.007 Im r^7_{10} 0.070 +- 0.042 +- 0.004 0.080 +- 0.028 +- 0.011 0.102 +- 0.030 +- 0.004 0.125 +- 0.026 +- 0.007 Re r^8_{10} 0.080 +- 0.028 +- 0.012 0.080 +- 0.023 +- 0.003 0.132 +- 0.026 +- 0.006 0.117 +- 0.024 +- 0.012 Re r^{04}_{10} 0.021 +- 0.007 +- 0.019 0.036 +- 0.006 +- 0.004 0.026 +- 0.006 +- 0.016 0.023 +- 0.005 +- 0.006 Re r^1_{10} -0.025 +- 0.011 +- 0.031 -0.017 +- 0.009 +- 0.002 -0.014 +- 0.010 +- 0.015 -0.031 +- 0.010 +- 0.013 Im r^2_{10} -0.006 +- 0.011 +- 0.017 0.016 +- 0.009 +- 0.018 0.015 +- 0.010 +- 0.038 0.004 +- 0.010 +- 0.018 r^5_{00} 0.097 +- 0.017 +- 0.035 0.088 +- 0.013 +- 0.011 0.113 +- 0.012 +- 0.018 0.119 +- 0.012 +- 0.006 r^1_{00} 0.019 +- 0.028 +- 0.014 -0.018 +- 0.024 +- 0.019 -0.031 +- 0.025 +- 0.020 -0.036 +- 0.026 +- 0.009 Im r^3_{10} 0.005 +- 0.029 +- 0.004 0.003 +- 0.019 +- 0.008 0.024 +- 0.021 +- 0.003 0.062 +- 0.018 +- 0.003 r^8_{00} 0.138 +- 0.061 +- 0.010 0.221 +- 0.066 +- 0.021 0.058 +- 0.069 +- 0.016 -0.098 +- 0.063 +- 0.007 r^5_{11} -0.009 +- 0.006 +- 0.005 -0.013 +- 0.004 +- 0.009 -0.017 +- 0.004 +- 0.013 -0.027 +- 0.004 +- 0.015 r^5_{1-1} 0.008 +- 0.007 +- 0.016 0.009 +- 0.005 +- 0.002 0.006 +- 0.006 +- 0.004 0.021 +- 0.006 +- 0.011 Im r^6_{1-1} -0.007 +- 0.007 +- 0.018 -0.003 +- 0.005 +- 0.004 -0.003 +- 0.006 +- 0.006 -0.013 +- 0.006 +- 0.005 Im r^7_{1-1} -0.066 +- 0.052 +- 0.008 -0.040 +- 0.040 +- 0.016 -0.026 +- 0.044 +- 0.001 -0.100 +- 0.037 +- 0.013 r^8_{11} 0.007 +- 0.039 +- 0.003 -0.011 +- 0.035 +- 0.010 0.047 +- 0.033 +- 0.008 0.037 +- 0.028 +- 0.001 r^8_{1-1} -0.015 +- 0.047 +- 0.014 -0.055 +- 0.040 +- 0.015 -0.083 +- 0.041 +- 0.003 -0.072 +- 0.036 +- 0.017 r^{04}_{1-1} 0.000 +- 0.009 +- 0.021 0.003 +- 0.008 +- 0.012 -0.006 +- 0.008 +- 0.009 -0.008 +- 0.007 +- 0.003 r^1_{11} -0.029 +- 0.012 +- 0.019 -0.002 +- 0.009 +- 0.013 -0.003 +- 0.010 +- 0.011 -0.012 +- 0.010 +- 0.007 Im r^3_{1-1} 0.006 +- 0.031 +- 0.010 -0.017 +- 0.024 +- 0.008 -0.023 +- 0.026 +- 0.003 0.029 +- 0.022 +- 0.004 -------- Table 7. The 23 unpolarized and polarized SDMEs of \rho^0 for the deuteron for bins in -t' (0.0 - 0.04 - 0.1 -0.2 - 0.4 GeV^2). The first uncertainties are statistical, the second systematic. Element <-t'>=0.018 GeV^2 <-t'>=0.068 GeV^2 <-t'>=0.145 GeV^2 <-t'>=0.283 GeV^2 r^{04}_{00} 0.440 +- 0.014 +- 0.017 0.396 +- 0.015 +- 0.024 0.389 +- 0.015 +- 0.017 0.434 +- 0.017 +- 0.032 r^1_{1-1} 0.225 +- 0.015 +- 0.014 0.261 +- 0.017 +- 0.011 0.272 +- 0.016 +- 0.029 0.247 +- 0.018 +- 0.029 Im r^2_{1-1} -0.208 +- 0.014 +- 0.015 -0.258 +- 0.015 +- 0.019 -0.239 +- 0.015 +- 0.028 -0.229 +- 0.016 +- 0.026 Re r^5_{10} 0.155 +- 0.005 +- 0.006 0.153 +- 0.006 +- 0.010 0.172 +- 0.006 +- 0.009 0.154 +- 0.007 +- 0.009 Im r^6_{10} -0.154 +- 0.005 +- 0.003 -0.150 +- 0.005 +- 0.004 -0.150 +- 0.006 +- 0.006 -0.154 +- 0.007 +- 0.010 Im r^7_{10} 0.084 +- 0.029 +- 0.006 0.122 +- 0.028 +- 0.008 0.108 +- 0.034 +- 0.007 0.086 +- 0.039 +- 0.015 Re r^8_{10} 0.161 +- 0.026 +- 0.010 0.095 +- 0.028 +- 0.007 0.081 +- 0.027 +- 0.006 0.099 +- 0.030 +- 0.012 Re r^{04}_{10} 0.016 +- 0.006 +- 0.005 0.025 +- 0.006 +- 0.011 0.034 +- 0.006 +- 0.005 0.046 +- 0.007 +- 0.005 Re r^1_{10} -0.010 +- 0.010 +- 0.005 -0.002 +- 0.011 +- 0.021 -0.020 +- 0.011 +- 0.010 -0.047 +- 0.013 +- 0.018 Im r^2_{10} 0.012 +- 0.010 +- 0.010 0.018 +- 0.010 +- 0.018 0.005 +- 0.011 +- 0.018 0.036 +- 0.013 +- 0.017 r^5_{00} 0.053 +- 0.012 +- 0.003 0.085 +- 0.013 +- 0.033 0.108 +- 0.014 +- 0.003 0.215 +- 0.018 +- 0.032 r^1_{00} -0.077 +- 0.026 +- 0.025 -0.001 +- 0.028 +- 0.034 -0.053 +- 0.029 +- 0.028 -0.040 +- 0.035 +- 0.030 Im r^3_{10} 0.020 +- 0.020 +- 0.003 0.043 +- 0.020 +- 0.003 0.022 +- 0.023 +- 0.004 0.033 +- 0.027 +- 0.006 r^8_{00} 0.157 +- 0.073 +- 0.013 0.111 +- 0.076 +- 0.011 -0.147 +- 0.070 +- 0.013 0.078 +- 0.079 +- 0.012 r^5_{11} -0.018 +- 0.005 +- 0.007 -0.014 +- 0.005 +- 0.009 -0.012 +- 0.005 +- 0.005 -0.025 +- 0.006 +- 0.023 r^5_{1-1} 0.001 +- 0.006 +- 0.003 0.007 +- 0.006 +- 0.004 0.006 +- 0.006 +- 0.007 0.017 +- 0.007 +- 0.008 Im r^6_{1-1} -0.007 +- 0.006 +- 0.002 -0.005 +- 0.006 +- 0.005 0.001 +- 0.006 +- 0.009 -0.003 +- 0.007 +- 0.002 Im r^7_{1-1} -0.037 +- 0.043 +- 0.006 -0.041 +- 0.045 +- 0.004 -0.060 +- 0.046 +- 0.002 -0.080 +- 0.048 +- 0.008 r^8_{11} -0.030 +- 0.036 +- 0.002 -0.003 +- 0.037 +- 0.004 0.078 +- 0.035 +- 0.001 0.056 +- 0.037 +- 0.008 r^8_{1-1} -0.095 +- 0.044 +- 0.010 -0.055 +- 0.044 +- 0.008 -0.030 +- 0.044 +- 0.008 -0.091 +- 0.045 +- 0.006 r^{04}_{1-1} 0.016 +- 0.008 +- 0.004 -0.005 +- 0.009 +- 0.006 -0.021 +- 0.009 +- 0.001 -0.013 +- 0.009 +- 0.008 r^1_{11} 0.026 +- 0.011 +- 0.013 -0.004 +- 0.012 +- 0.015 -0.036 +- 0.012 +- 0.004 -0.016 +- 0.012 +- 0.011 Im r^3_{1-1} 0.003 +- 0.025 +- 0.002 -0.036 +- 0.026 +- 0.005 -0.033 +- 0.028 +- 0.002 0.052 +- 0.031 +- 0.005 -------- Table 7. The 23 unpolarized and polarized SDMEs of \rho^0 for the deuteron for bins in x_B (0.0 - 0.05 - 0.08 - 0.35 ). The first uncertainties are statistical, the second systematic.} Element <x_B>=0.042 <x_B>=0.064 <x_B>=0.119 r^{04}_{00} 0.410 +- 0.017 +- 0.032 0.413 +- 0.012 +- 0.014 0.411 +- 0.011 +- 0.010 r^1_{1-1} 0.233 +- 0.019 +- 0.018 0.263 +- 0.013 +- 0.022 0.223 +- 0.011 +- 0.012 Im r^2_{1-1} -0.226 +- 0.020 +- 0.039 -0.234 +- 0.011 +- 0.019 -0.218 +- 0.012 +- 0.018 Re r^5_{10} 0.162 +- 0.005 +- 0.021 0.168 +- 0.005 +- 0.007 0.148 +- 0.004 +- 0.011 Im r^6_{10} -0.162 +- 0.003 +- 0.017 -0.160 +- 0.004 +- 0.004 -0.132 +- 0.005 +- 0.009 Im r^7_{10} 0.102 +- 0.038 +- 0.028 0.106 +- 0.026 +- 0.006 0.099 +- 0.025 +- 0.005 Re r^8_{10} 0.080 +- 0.017 +- 0.018 0.080 +- 0.020 +- 0.005 0.145 +- 0.024 +- 0.018 Re r^{04}_{10} 0.044 +- 0.005 +- 0.009 0.027 +- 0.005 +- 0.012 0.026 +- 0.005 +- 0.005 Re r^1_{10} -0.017 +- 0.013 +- 0.027 -0.016 +- 0.010 +- 0.009 -0.025 +- 0.009 +- 0.018 Im r^2_{10} 0.013 +- 0.008 +- 0.031 0.024 +- 0.009 +- 0.019 0.011 +- 0.010 +- 0.017 r^5_{00} 0.138 +- 0.014 +- 0.043 0.075 +- 0.011 +- 0.014 0.120 +- 0.010 +- 0.014 r^1_{00} -0.010 +- 0.023 +- 0.061 -0.056 +- 0.022 +- 0.011 -0.019 +- 0.024 +- 0.009 Im r^3_{10} 0.048 +- 0.026 +- 0.020 0.010 +- 0.018 +- 0.005 0.040 +- 0.017 +- 0.002 r^8_{00} 0.199 +- 0.043 +- 0.024 0.074 +- 0.058 +- 0.005 -0.059 +- 0.062 +- 0.016 r^5_{11} 0.010 +- 0.007 +- 0.021 -0.006 +- 0.004 +- 0.005 -0.030 +- 0.004 +- 0.015 r^5_{1-1} 0.018 +- 0.009 +- 0.011 0.000 +- 0.005 +- 0.002 0.020 +- 0.004 +- 0.007 Im r^6_{1-1} -0.010 +- 0.011 +- 0.002 0.001 +- 0.005 +- 0.008 -0.012 +- 0.005 +- 0.005 Im r^7_{1-1} -0.081 +- 0.033 +- 0.032 -0.028 +- 0.037 +- 0.003 -0.081 +- 0.036 +- 0.010 r^8_{11} -0.028 +- 0.026 +- 0.007 0.020 +- 0.029 +- 0.001 0.049 +- 0.026 +- 0.004 r^8_{1-1} -0.116 +- 0.042 +- 0.028 -0.046 +- 0.035 +- 0.004 -0.073 +- 0.034 +- 0.017 r^{04}_{1-1} 0.004 +- 0.008 +- 0.020 -0.003 +- 0.007 +- 0.012 -0.007 +- 0.006 +- 0.002 r^1_{11} -0.023 +- 0.016 +- 0.020 -0.007 +- 0.009 +- 0.011 -0.010 +- 0.009 +- 0.010 Im r^3_{1-1} -0.001 +- 0.013 +- 0.019 -0.032 +- 0.022 +- 0.004 0.027 +- 0.019 +- 0.004 ####################################################################### Fig. 12 and Table 9 in the paper represent the values of of the phase difference \delta between T_{11} and T_{00} amplitudes for the proton and deuteron in Q^2 bins (0.5 - 1.0 - 1.4 - 2.0 - 7.0 GeV^2). The first uncertainties are statistical, the second systematic. In the entire region on proton |\delta| = 26.4 +- 2.3 +- 4.9 deuteron |\delta| = 29.3 +- 1.6 +- 3.6 target <Q^2>=0.82 GeV^2 <Q^2>=1.19 GeV^2 <Q^2>=1.66 GeV^2 <Q^2>=3.06 GeV^2 proton 36.17 +- 12.33 +- 7.09 18.76 +- 6.99 +- 5.62 26.52 +- 3.92 +- 0.91 36.53 +- 2.79 +- 3.65 deuteron 33.18 +- 4.55 +- 9.88 22.55 +- 4.07 +- 2.83 30.37 +- 3.13 +- 0.54 36.58 +- 2.28 +- 3.99 ############################################################################# Fig. 16 and Table 10 of the paper represent the values of the variable u_1=1-r_{00}^{04} + 2 r_{1-1}^{04} - 2 r_{11}^{1} - 2 r_{1-1}^{1}, used for the test of NPE dominance, for kinematic bins for proton and deuteron data. The first uncertainties are statistical, the second systematic. bin u_1 proton u_1 deuteron 0.5 < Q^{2} < 1 GeV^2 0.114 +- 0.053 +- 0.045 0.104 +- 0.035 +- 0.061 1.0 < Q^{2} < 1.4 GeV^2 0.148 +- 0.035 +- 0.044 0.069 +- 0.026 +- 0.048 1.4 < Q^{2} < 2.0 GeV^2 0.063 +- 0.037 +- 0.077 0.078 +- 0.028 +- 0.028 2.0 < Q^{2} < 7 GeV^2 0.178 +- 0.038 +- 0.040 0.169 +- 0.032 +- 0.024 0.0 < -t' < 0.04 GeV^2 0.197 +- 0.043 +- 0.035 0.091 +- 0.029 +- 0.024 0.04 < -t' < 0.10 GeV^2 0.090 +- 0.040 +- 0.041 0.082 +- 0.032 +- 0.039 0.10 < -t' < 0.20 GeV^2 0.073 +- 0.041 +- 0.078 0.097 +- 0.033 +- 0.068 0.20 < -t' < 0.40 GeV^2 0.125 +- 0.040 +- 0.107 0.077 +- 0.036 +- 0.095 0.0 < x_B < 0.05 0.142 +- 0.099 +- 0.005 0.180 +- 0.063 +- 0.075 0.05 < x_B < 0.08 0.123 +- 0.037 +- 0.029 0.070 +- 0.027 +- 0.031 0.08 < x_B < 0.35 0.152 +- 0.031 +- 0.055 0.149 +- 0.027 +- 0.039 ############################################################################### Fig. 17 and Table 11 of the paper represent the results on u_1, u_2 and u_3 shown together with average value or range in Q^2 and W. Top section: HERMES results on proton and deuteron, shown with statistical and systematic uncertainties separately. Bottom section: results from other experiments calculated from published SDMEs, with statistical and systematic uncertainties combined in quadrature without accounting for correlations between the SDMEs. Experiment <Q^2>, GeV^2 <W>, GeV u_1 u_2 u_3 HERMES p 1.95 4.8 0.125 +- 0.021 +- 0.050 -0.011 +- 0.004 +- 0.012 0.055 +- 0.045 +- 0.006 HERMES d 1.94 4.8 0.091 +- 0.016 +- 0.046 -0.008 +- 0.003 +- 0.010 -0.040 +- 0.035 +- 0.007 ZEUS DIS 2.4 90 0.018 +- 0.066 0.018 +- 0.011 ZEUS BPC 0.41 45 0.058 +- 0.078 -0.002 +- 0.016 H1 3 65 0.065 +- 0.15 -0.017 +- 0.034 SLAC 0.9 3.14 0.85 +- 0.32 -0.050 +- 0.072 SLAC 0.9 3.14 1.174 +- 0.379 0.039 +- 0.082 DESY 1.05 2--2.8 0.73 +- 0.33 -0.040 +- 0.064 ##################################################################################### Fig. 18. and Table 12 represent thee ratios of certain helicity-flip amplitudes to the square root of the sum of all amplitudes squared: \tau_{01} for the transition \gamma^*_T -> \rho^0_L, \tau_{10} for the transition \gamma^*_L -> \rho^0_T, and \tau_{1-1} for the transition \gamma^*_{-T} -> \rho^0_T. Top section: HERMES results on proton and deuteron, shown with statistical and systematic uncertainties separately. Bottom section: results from other experiments with statistical and systematic uncertainties combined in quadrature without accounting for correlations between the SDMEs. HERMES \tau_{01} \tau_{10} \tau_{1-1} proton 0.114 +- 0.007 +- 0.010 0.075 +- 0.030 +- 0.003 0.051 +- 0.029 +- 0.010 deuteron 0.122 +- 0.007 +- 0.006 0.090 +- 0.022 +- 0.011 0.007 +- 0.025 +- 0.015 Experiment \widetilde{\tau}_{01} \widetilde{\tau}_{10} \widetilde{\tau}_{1-1} ZEUS BPC 0.069 +- 0.027 0.003 +- 0.029 0.048 +- 0.028 ZEUS DIS 0.078 +- 0.016 -0.010 +- 0.028 0.013 +- 0.032 H1 0.088 +- 0.036 0.019 +- 0.065 0.035 +- 0.109 SLAC 0.095 +- 0.165 0.030 +- 0.133 0.112 +- 0.231 SLAC 0.084 +- 0.177 0.412 +- 0.430 0.042 +- 0.389 DESY 0.041 +- 0.247 0.335 +- 0.436 ################################################################################################### Fig. 19, Fig. 20. and Table 13 represent the longitudinal-to-transverse cross section ratios R^{04}, R, and R^{NPE} for the proton and deuteron in Q^2 bins (0.5 - 1.0 - 1.4 - 2.0 - 7.0 GeV^2). The total uncertainties are shown. ratio target <Q^2>=0.82 GeV^2 <Q^2>=1.19 GeV^2 <Q^2>=1.66 GeV^2 <Q^2>=3.06 GeV^2 R^{04} proton 0.694 +- 0.187 0.701 +- 0.063 0.798 +- 0.080 1.053 +- 0.074 deuteron 0.748 +- 0.179 0.755 +- 0.063 0.973 +- 0.098 0.870 +- 0.061 R proton 0.649 +- 0.188 0.671 +- 0.065 0.794 +- 0.083 1.068 +- 0.087 deuteron 0.677 +- 0.180 0.583 +- 0.067 0.958 +- 0.102 0.922 +- 0.074 R^{NPE} proton 0.755 +- 0.190 0.783 +- 0.068 0.840 +- 0.090 1.225 +- 0.084 deuteron 0.809 +- 0.182 0.798 +- 0.067 1.041 +- 0.102 0.994 +- 0.065 ################################################################################################### Table 14 represent the SDME results for the proton, integrated over the entire HERMES kinematic range, are presented in the notation of M.Diehl. The first uncertainties are statistical and the second systematic. u^{00}_{++}+\epsilon u^{00}_{00} = r^{04}_{00} = 0.412 +- 0.010 +- 0.010 Re(u^{0+}_{0+}- u^{-0}_{0+}) = \sqrt{2}( Im r^6_{10}- r^5_{10}) = -0.464 +- 0.005 +- 0.028 u^{++}_{++}+u^{--}_{++}+2 \epsilon u^{++}_{00} = 1-r^{04}_{00} = 0.588 +- 0.010 +- 0.010 u^{-+}_{-+} = r^1_{1-1}- Im r^2_{1-1} = 0.473 +- 0.012 +- 0.029 Re(u^{00}_{0+}) = -r^5_{00}/\sqrt{2} = -0.077 +- 0.006 +- 0.006 u^{0+}_{++}-u^{-0}_{++}+2 \epsilon u^{0+}_{00} = 2 Re r^{04}_{10} = 0.062 +- 0.008 +- 0.016 Re(u^{0+}_{-+}) = Re r^1_{10} - Im r^2_{10} = -0.054 +- 0.009 +- 0.027 Re(u^{0-}_{0+}-u^{+0}_{0+}) = \sqrt{2}( Im r^6_{10}+ Re r^5_{10}) = -0.008 +- 0.005 +- 0.015 Re(u^{-+}_{++}+\epsilon u^{-+}_{00}) = r^{04}_{1-1} = -0.011 +- 0.005 +- 0.005 Re(u^{++}_{-+}) = r^{1}_{11} = -0.025 +- 0.007 +- 0.008 Re(u^{++}_{0+}+u^{--}_{0+}) = -\sqrt{2} r^{5}_{11} = -0.023 +- 0.004 +- 0.018 Re(u^{-+}_{0+}) = ( Im r^6_{1-1}- r^5_{1-1})/\sqrt{2} = -0.005 +- 0.005 +- 0.008 u^{00}_{-+} = r^1_{00} = 0.011 +- 0.019 +- 0.008 Re(u^{+0}_{-+}) = Re r^1_{10} + Im r^2_{10} = 0.009 +- 0.009 +- 0.004 Re(u^{+-}_{0+}) = -(Im r^6_{1-1}+ r^5_{1-1})/\sqrt{2} = -0.002 +- 0.005 +- 0.001 Re(u^{+-}_{-+} = r^1_{1-1}+Im r^{2}_{1-1} = 0.018 +- 0.012 +- 0.011 Im(u^{0+}_{0+}-u^{-0}_{0+}) = Im r^7_{10} + Re r^8_{10} = 0.264 +- 0.030 +- 0.023 Im(u^{00}_{0+}) = r^8_{00}/\sqrt{2} = 0.025 +- 0.035 +- 0.007 Im(u^{0+}_{++})-u^{-0}_{=+}) = -2 Im r^3_{10} = 0.034 +- 0.030 +- 0.008 Im(u^{0-}_{0+})-u^{+0}_{0+}) = \sqrt{2}( Im r^7_{10}- Re r^8_{10}) = 0.054 +- 0.035 +- 0.008 Im(u^{-+}_{++}) = -Im r^3_{1-1} = 0.024 +- 0.018 +- 0.001 Im(u^{++}_{0+}+u^{--}_{0+}) = \sqrt{2}r^8_{11} = 0.51 +- 0.034 +- 0.001 u^{-+}_{0+} = (r^8_{1-1}+ Im r^7_{1-1})/\sqrt{2} = -0.012 +- 0.039 +- 0.007 u^{+-}_{0+} = (r^8_{1-1}- Im r^7_{1-1})/\sqrt{2} = 0.038 +- 0.039 +- 0.001