namespace HADRONS { namespace VA_B_B_FFs { class ST : public FormFactor_Base { int m_mode; double mq, mQ, msigma; double a, ap; double IS(double w, double factor, double exp1, double exp2); public: ST(struct GeneralModel model, double* masses, std::string variant); void CalcFFs(ATOOLS::Vec4D p0, ATOOLS::Vec4D p1); }; ST::ST(GeneralModel model, double* masses, std::string variant) : FormFactor_Base(model, masses) { m_mode = int(model("mode",0.0)+0.5); std::string prefix=variant+"_"; mq = model(prefix+"mq",1.0); mQ = model(prefix+"mQ",1.0); msigma = model(prefix+"msigma",1.0); a = model(prefix+"alpha",1.0); ap = model(prefix+"alpha_prime",1.0); } void ST::CalcFFs(Vec4D p0, Vec4D p1) { Vec4D v0 = p0/m0; Vec4D v1 = p1/m1; double w = v0*v1; double aaprime = 0.5*(a+ap); double I; double amap(0.0); switch(m_mode) { case 0: // Lambda_x (1/2+) -> Lambda_y or N (1/2+) I = IS(w, 1.0, 1.5, 2.0); m_V1 = I*(1.0+msigma/aaprime*(ap/mq+a/mQ)); m_V2 = -I*(msigma*ap/mq/aaprime-a*ap/6.0/mq/mQ); m_V3 = -I*msigma*a/mQ/aaprime; m_A1 = I*(1.0-a*ap/18.0/mq/mQ); m_A2 = -I*(msigma*ap/mq/aaprime+4.0*sqr(msigma)*a*ap/5.0/mq/mQ/sqr(aaprime)+a*ap/18.0/mq/mQ); m_A3 = I*(msigma*a/mQ/aaprime+4.0*sqr(msigma)*a*ap/5.0/mq/mQ/sqr(aaprime)); break; case 1: // Lambda_x (1/2+) -> Lambda_y or N (1/2-) I = IS(w, sqrt(2.0), 2.5, 3.0); m_V1 = I*aaprime/12.0*(3.0/mq-1.0/mQ); m_V2 = -I*(2.0*msigma/a-aaprime/4.0/mq+2.0*sqr(msigma)/aaprime/mQ-msigma/12.0/mq/mQ*(5.0*a-3.0*ap)); m_V3 = I*2.0*sqr(msigma)/mQ/aaprime; m_A1 = I*(2.0*msigma/a-aaprime/12.0/mQ+msigma/36.0/mq/mQ*(11.0*a-5.0*ap)); m_A2 = -I*(2.0*msigma/a-aaprime/4.0/mq-aaprime/6.0/mQ+msigma/18.0/mq/mQ*(a-ap)); m_A3 = I*aaprime/6.0/mQ*(1.0+msigma/2.0/mq/aaprime*(ap-3.0*a)); break; case 2: // Lambda_x (1/2+) -> Lambda_y or N (1/2+1) I = IS(w, sqrt(3.0)/2.0, 2.5, 3.0); m_V1 = I/2.0/ap/a* (sqr(a)-sqr(ap)-2.0*msigma/3.0*(a/mQ*(5.0*ap-3.0*a)-ap/mq*(5.0*a-3.0*ap))); m_V2 = -I*(5.0*a-3.0*ap)/3.0/mq*(msigma/a-aaprime/3.0/mQ); m_V3 = I*msigma/6.0/mQ/ap*(5.0*ap-3.0*a); m_A1 = I*((sqr(a)-sqr(ap))/2.0/a/ap-aaprime/54.0/mq/mQ*(5.0*a-3.0*ap)); m_A2 = -I*msigma/3.0/mq/a* ((5.0*a-3.0*ap)+4.0*msigma*a/mQ/aaprime*(a-ap)+aaprime/18.0/mQ*(5.0*a-ap)); m_A3 = -I*msigma/3.0/mQ/ap* ((5.0*ap-3.0*a)-4.0*msigma*ap/mQ/aaprime*(a-ap)); break; case 10: // Omega_x (1/2+) -> Omega_y or Xi (1/2+ |200000>) I = IS(w, 1.0/3.0, 1.5, 2.0); m_V1 = -I*(1.0+msigma/aaprime*(ap/mq+a/mQ)); m_V2 = 2.0*I*(1.0-msigma/aaprime*(ap/2.0/mq-a/mQ)); m_V3 = 2.0*I*(1.0+msigma/aaprime*(ap/mq-a/2.0/mQ)); m_A1 = -I; m_A2 = I*msigma*ap/mq/aaprime; m_A3 = -I*msigma*a/mQ/aaprime; break; case 11: { // Omega_x (1/2+) -> Omega_y or Xi (1/2+1 |200010>) I = IS(w, 1.0/2.0/sqrt(3.0), 2.5, 3.0); amap = sqr(a)-sqr(ap); m_V1 = -I/2.0/a/ap*(amap+2.0*msigma/3.0*(ap*(5.0*a-3.0*ap)/mq+a*(3.0*a-5.0*ap)/mQ)); m_V2 = I/a/ap*(amap-2.0*msigma/3.0*(ap*(5.0*a-3.0*ap)/2.0/mq-a*(3.0*a-5.0*ap)/mQ)); m_V3 = I/a/ap*(amap+2.0*msigma/3.0*(ap*(5.0*a-3.0*ap)/mq-a*(3.0*a-5.0*ap)/2.0/mQ)); m_A1 = -I*amap/2.0/a/ap; m_A2 = I*msigma/3.0/mq*(5.0*a-3.0*ap)/a; m_A3 = -I*msigma/3.0/mQ*(3.0*a-5.0*ap)/ap; break; } case 12: // Omega_x (1/2+) -> Omega_y or Xi (1/2+2 |320002>) I = IS(w, -4.0/9.0*sqrt(5.0), 3.5, 4.0); m_V1 = -I*msigma*aaprime/2.0/a*(1.0/mq-1.0/mQ); m_V2 = -0.5*m_V1; m_V3 = m_V2; m_A1 = 0.0; m_A2 = I*msigma/a*(27.0*msigma/5.0/a-aaprime/4.0*(4.0/mq+3.0/mQ)); m_A3 = -I*msigma/a*(27.0*msigma/5.0/a+aaprime/4.0/mQ); break; case 13: // Omega_x (1/2+) -> Omega_y or Xi (1/2- |210001>) I = IS(w, -sqrt(2.0)/3.0, 2.5, 3.0); m_V1 = -I*aaprime/12.0*(1.0/mq+5.0/mQ); m_V2 = I*(2.0*msigma/a*(1.0-msigma/aaprime*(2.0*ap/mq-a/mQ))-aaprime/12.0/mq); m_V3 = I*4.0*msigma/a*(1.0+msigma/aaprime*(ap/mq-a/2.0/mQ)); m_A1 = I*(2.0*msigma/a-5.0*aaprime/12.0/mQ); m_A2 = -I*(2.0*msigma/a-aaprime*(1.0/4.0/mq+1.0/3.0/mQ)); m_A3 = I*aaprime/3.0/mQ; break; case 14: // Omega_x (1/2+) -> Omega_y or Xi (1/2-1 |310001>) I = IS(w, -2.0/3.0, 2.5, 3.0); m_V1 = -I*aaprime/6.0*(1.0/mq-1.0/mQ); m_V2 = I*(msigma/a*(1.0+msigma/aaprime*(ap/mq+a/mQ))-aaprime/6.0/mq); m_V3 = -I*msigma/a*(1.0+msigma/aaprime*(ap/mq+a/mQ)); m_A1 = -I*(2.0*msigma/a-aaprime/6.0/mQ); m_A2 = -I*(msigma/a-aaprime/6.0*(3.0/mq+1.0/mQ)); m_A3 = I*(3.0*msigma/a+aaprime/6.0/mQ); break; default: THROW(fatal_error,"Mode not implemented in HO::CalcFFs."); } m_calced = true; } double ST::IS(double w, double factor, double exp1, double exp2) { double aaprime2 = sqr(0.5*(a+ap)); return factor*pow(a*ap/aaprime2, exp1)/ pow(1.0+1.5*sqr(msigma)*(sqr(w)-1.0)/aaprime2, exp2); } } }