diff --git a/Hadrons/Modules/MContraction/Nucleon.hpp b/Hadrons/Modules/MContraction/Nucleon.hpp index d2a5129d..41e1348d 100644 --- a/Hadrons/Modules/MContraction/Nucleon.hpp +++ b/Hadrons/Modules/MContraction/Nucleon.hpp @@ -134,10 +134,11 @@ void TNucleon::execute(void) // C = i gamma_2 gamma_4 => C gamma_5 = - i gamma_1 gamma_3 Gamma Cg5(Gamma::Algebra::SigmaXZ); - Gamma g4(Gamma::Algebra::GammaT); + Gamma g4(Gamma::Algebra::GammaT); //needed for parity P_\pm = 0.5*(1 \pm \gamma_4) std::vector> epsilon = {{0,1,2},{1,2,0},{2,0,1},{0,2,1},{2,1,0},{1,0,2}}; std::vector epsilon_sgn = {1,1,1,-1,-1,-1}; + // This is the \delta_{123}^{123} part for (int ie_src=0; ie_src < 6 ; ie_src++){ int c1_src = epsilon[ie_src][0]; int c2_src = epsilon[ie_src][1]; @@ -146,18 +147,38 @@ void TNucleon::execute(void) int c1_snk = epsilon[ie_snk][0]; int c2_snk = epsilon[ie_snk][1]; int c3_snk = epsilon[ie_snk][2]; - auto f1 = peekColour(q1,c1_snk,c1_src); - auto f2 = peekColour(q2,c2_snk,c2_src); - auto f3 = peekColour(q3,c3_snk,c3_src); - diquark = trace(f2 * Cg5 * f3); - //diquark = q2()()(c2,1) * Cg5 * q3()()(c3,2); - auto temp = Cg5 * f1 * diquark; + auto Dcc = peekColour(q1,c1_snk,c1_src); //D_{gamma' gamma} + auto Daa = peekColour(q2,c2_snk,c2_src); //D_{alpha' alpha} + auto Dbb = peekColour(q3,c3_snk,c3_src); //D_{beta' beta} + diquark = trace(Cg5 * Daa * Cg5 * Dbb); //Daa transposed???? + //diquark = q2()()(c2,1) * Cg5 * q3()()(c3,2); //Why does this not work?? + auto temp = Dcc * diquark; auto g4_temp = g4 * temp; int parity = 1; c += epsilon_sgn[ie_src] * epsilon_sgn[ie_snk] * 0.5 * (double)parity * trace(temp + g4_temp); } } + + // This is the \delta_{123}^{213} part + for (int ie_src=0; ie_src < 6 ; ie_src++){ + int c1_src = epsilon[ie_src][0]; + int c2_src = epsilon[ie_src][1]; + int c3_src = epsilon[ie_src][2]; + for (int ie_snk=0; ie_snk < 6 ; ie_snk++){ + int c1_snk = epsilon[ie_snk][0]; + int c2_snk = epsilon[ie_snk][1]; + int c3_snk = epsilon[ie_snk][2]; + auto Dca = peekColour(q1,c1_snk,c2_src); //D_{gamma' alpha} + auto Dac = peekColour(q2,c2_snk,c1_src); //D_{alpha' gamma} + auto Dbb = peekColour(q3,c3_snk,c3_src); //D_{beta' beta} + auto temp = Dca * Cg5 * Dbb * Cg5 * Dac; //(Dbb*Cg5) transposed??? + auto g4_temp = g4 * temp; + int parity = 1; + c -= epsilon_sgn[ie_src] * epsilon_sgn[ie_snk] * 0.5 * (double)parity * trace(temp + g4_temp); + } + } + // saveResult(par().output, "meson", result); }