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| Kulagin–Petti | |
|---|---|
| Name | Kulagin–Petti |
| Field | Nuclear physics |
| Known for | Nuclear parton distribution functions, nuclear effects in deep inelastic scattering |
| First proposed | 2006 |
| Authors | S. A. Kulagin, R. Petti |
Kulagin–Petti is a model for nuclear modifications of parton distribution functions used to describe deep inelastic scattering and related high-energy processes in nuclei. It combines microscopic nuclear structure inputs with parton-level descriptions to account for binding, Fermi motion, shadowing, and off-shell effects in nuclei such as deuteron, carbon, iron, and lead. The approach has been applied to analyses involving facilities and collaborations including CERN, Fermilab, Jefferson Lab, HERA, and SLAC.
Kulagin–Petti originated from efforts to reconcile data from EMC experiments, SLAC deep inelastic scattering, and NMC measurements with global fits by groups like CTEQ, MSTW, and NNPDF. Developed by S. A. Kulagin and R. Petti in the mid-2000s, the model built on earlier work on nuclear effects by researchers at Brookhaven National Laboratory, CERN NA37, and theorists associated with Columbia University and MIT. It was motivated by tensions between neutrino scattering results from NuTeV and charged-lepton scattering from EMC and emerged in the context of neutrino oscillation program needs at MINOS and NOvA.
The framework combines nuclear physics inputs such as spectral functions and nuclear binding with perturbative QCD elements including Dokshitzer–Gribov–Lipatov–Altarelli–Parisi evolution used by Altarelli–Parisi, DGLAP analyses and operator product expansion ideas from Wilson. It accounts for coherence phenomena related to Gribov theory and multiple scattering approaches developed in the context of Glauber theory and Gribov–Glauber frameworks. The model interfaces with global analysis paradigms employed by CTEQ, MSTW, and EPS fits and uses inputs comparable to those in calculations by groups at University of Washington and Università di Milano.
Mathematically, Kulagin–Petti expresses nuclear structure functions as convolutions of nucleon structure functions with nuclear spectral functions and includes off-shell correction terms analogous to those considered in Bjorken scaling violations and target-mass correction treatments from Georgi–Politzer. Shadowing corrections are implemented using diffractive inputs associated with HERA measurements of the Pomeron and are related to multiple scattering series familiar from Glauber theory. The formalism uses parton distribution functions consistent with global fits from CTEQ, MSTW, NNPDF, and nuclear modifications parametrizations compared with EPS09 and nCTEQ results.
Kulagin–Petti has been applied to description of charged-lepton deep inelastic scattering data from SLAC, CERN NA37, EMC, and NMC; neutrino scattering measurements from NuTeV, CHORUS, and MINERvA; and Drell–Yan processes studied by E772 and E866/NuSea at Fermilab. It has been used to inform neutrino oscillation experiments at T2K, MicroBooNE, and DUNE and to interpret heavy-ion collision baselines at RHIC and LHC. Applications include comparisons with nuclear corrections applied in global PDF fits by nCTEQ, EPS, and DSSZ.
Compared to phenomenological parametrizations like EPS09, HKN07, and nCTEQ15, Kulagin–Petti emphasizes microscopic nuclear structure via spectral functions akin to approaches from Benhar and Ciofi degli Atti, and off-shell corrections comparable to treatments by Kulagin’s contemporaries and by Eskola group methods. It differs from coherent saturation-based models such as the Color Glass Condensate and from purely empirical global fits by providing explicit links to nuclear binding and nucleon removal energy treatments used in analyses at Jefferson Lab and Saclay.
Tests include comparisons to precision electron and muon scattering datasets from SLAC, Jefferson Lab, CERN EMC, and HERMES; neutrino-nucleus cross sections from NuTeV, MINERvA, CHORUS, and CCFR; and Drell–Yan nuclear data from Fermilab E772 and E866/NuSea. Constraints also arise from nuclear Drell–Yan, heavy-vector boson production at LHC, and coherent diffraction studies at HERA and COMPASS. Discrepancies with results from NuTeV and tensions in strange quark content extracted by ATLAS and CMS have driven refinements and cross-comparisons with nCTEQ and NNPDF nuclear analyses.
Implications span extraction of free-nucleon parton distributions used by CTEQ and NNPDF, interpretation of neutrino oscillation cross sections for experiments like DUNE and Hyper-Kamiokande, and baseline determinations for heavy-ion programs at RHIC and LHC. Extensions include incorporation of consistent nuclear generalized parton distributions relevant to JLab 12 GeV programs, connections with saturation physics pursued at EIC proposals, and hybrid frameworks blending Kulagin–Petti inputs with global reweighting strategies used by NNPDF and nCTEQ collaborations.
Category:Nuclear physics models