| Expressions for the angular dependence of the matrix elements of <math>U_X</math>, <math> U_{b1}</math>, <math> U_\omega</math>, and <math> U_\rho</math> have already been written down above, in terms of the unknown mass-dependent factors ''a'', ''b'', ''c'', and ''f''. The mass dependence of the ''a'' factor can be written in terms of a standard relativistic Breit-Wigner resonance lineshape as follows, although often its mass dependence is determined empirically by binning in the mass of ''X'', and fitting each bin independently. | | Expressions for the angular dependence of the matrix elements of <math>U_X</math>, <math> U_{b1}</math>, <math> U_\omega</math>, and <math> U_\rho</math> have already been written down above, in terms of the unknown mass-dependent factors ''a'', ''b'', ''c'', and ''f''. The mass dependence of the ''a'' factor can be written in terms of a standard relativistic Breit-Wigner resonance lineshape as follows, although often its mass dependence is determined empirically by binning in the mass of ''X'', and fitting each bin independently. |
− | a^J_{LS}(m_X) = a^J_{LS} BW_L(m_X,\Gamma^0_X) | + | a^J_{LS}(m_X) = a^J_{LS} BW_L(m_X;m^0_X,\Gamma^0_X) |
− | b^1_{L1}(m_{b1}) = b^1_{L1} BW_L(m_{b1},\Gamma^0_{b1}) | + | b^1_{L1}(m_{b1}) = b^1_{L1} BW_L(m_{b1};m^0_{b1},\Gamma^0_{b1}) |
− | c^1_{LJ}(m_{\omega}) = c^1_{LJ} BW_L(m_\omega,\Gamma^0_\omega) | + | c^1_{LJ}(m_{\omega}) = c^1_{LJ} BW_L(m_\omega;m^0_\omega,\Gamma^0_\omega) |
− | f^L_{L0}(m_{\omega}) = f^L_{L0} BW_L(m_\rho,\infty) | + | f^L_{L0}(m_{\omega}) = f^L_{L0} BW_L(m_\rho;0,\infty) |