Leading twist model of nuclear shadowing

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Overview of the formalism Predictions for nPDFs Predictions for impact parameter dependent nPDFs Nuclear diffractive PDFs Back to V. Guzey at PNPI

Predictions for nPDFs The leading twist model of nuclear shadowing predicts the x, Q2, and impact parameter b dependence of sea quark and gluon parton distributions in nuclei [both at the next-to-leading (NLO) and leading orders (LO)]. The covered kinematic range is the following: 10-5 ≤ x ≤ 1, 4 ≤ Q2 ≤ 16,000 GeV2, and 0 ≤ b ≤ 5-10 fm (depending on the nucleus). For the summary of our formalism, see Overview of the formalism . Fortran codes and required data files with grids for nPDFs can be found in the end of this page. As explained in Overview of the formalism , the essential input for our approach is the value of the rescattering cross section σsoftj, which is needed to model the interaction with N ≥ 3 nucleons of the nucleus. We used two models for this cross section, models 1 and 2, which correspond to higher nuclear shadowing (FGS10_H) and lower nuclear shadowing (FGS10_L), respectively. An example of our predictions is presented below, where we plot the ratio of the nuclear to nucleon PDFs, fj/A/(Afj/N), for Pb-208 as a function of x at two values of Q2, Q2=Q02=4 GeV2 and Q2=100 GeV2. For convenience, we performed the DGLAP evolution using our predictions for nPDFs at the initial scale Q02=4 GeV2 to several values of Q2 between 4 and 16,000 GeV2 and tabulated our results as a two-dimensional grid in x and Q2. Using a simple Fortran code, one can interpolate between the grid points and thus obtain: fj/A/(Afj/N) and F2A/(AF2N) fj/A and F2A at any desired x and Q2 in the interval 10-5 ≤ x ≤ 1 and 4 ≤ Q2 ≤ 16,000 GeV2. The tables below contain the data files with grids and the Fortran codes for the interpolation. Table 1. NLO fj/A/(Afj/N) and F2A/(AF2N) Nucleus FGS10_H (model 1) FGS10_L (model 2) C-12 Fortran code LT2009_c12_model1.f Grid QCDEvolution_c12proton_2009_model1.dat Fortran code LT2009_c12_model2.f Grid QCDEvolution_c12proton_2009_model2.dat Ca-40 Fortran code LT2009_ca40_model1.f Grid QCDEvolution_ca40proton_2009_model1.dat Fortran code LT2009_ca40_mode12.f Grid QCDEvolution_ca40proton_2009_model2.dat Pd-110 Fortran code LT2009_pd110_model1.f Grid QCDEvolution_pd110proton_2009_model1.dat Fortran code LT2009_pd110_mode12.f Grid QCDEvolution_pd110proton_2009_model2.dat Pb-208 Fortran code LT2009_pb208_model1.f Grid QCDEvolution_pb208proton_2009_model1.dat Fortran code LT2009_pb208_model2.f Grid QCDEvolution_pb208proton_2009_model2.dat   Table 2. NLO fj/A and F2A Nucleus FGS10_H (model 1) FGS10_L (model 2) C-12 Fortran code LT2009_c12_absolute_model1.f Grid QCDEvolution_c12_2009_model1.dat Fortran code LT2009_c12_absolute_model2.f Grid QCDEvolution_c12_2009_model2.dat Ca-40 Fortran code LT2009_ca40_absolute_model1.f Grid QCDEvolution_ca40_2009_model1.dat Fortran code LT2009_ca40_absolute_mode12.f Grid QCDEvolution_ca40_2009_model2.dat Pd-110 Fortran code LT2009_pd110_absolute_model1.f Grid QCDEvolution_pd110_2009_model1.dat Fortran code LT2009_pd110_absolute_mode12.f Grid QCDEvolution_pd110_2009_model2.dat Pb-208 Fortran code LT2009_pb208_absolute_model1.f Grid QCDEvolution_pb208_2009_model1.dat Fortran code LT2009_pb208_absolute_model2.f Grid QCDEvolution_pb208_2009_model2.dat