The frozen nucleon approximation in two-particle two-hole response functions

Ruiz Simo, I.; Amaro, J. E.; Barbaro, M. B.; Caballero, J. A.; Megias, G. D.; Donnelly, T. W.

doi:10.1016/j.physletb.2017.04.063

Title: The frozen nucleon approximation in two-particle two-hole response functions

Journal Article · Mon Jul 10 00:00:00 EDT 2017 · Physics Letters. B

DOI:https://doi.org/10.1016/j.physletb.2017.04.063· OSTI ID:1353496

Ruiz Simo, I. ^[1];

^[1]; Barbaro, M. B. ^[2]; Caballero, J. A. ^[3]; Megias, G. D. ^[3]; Donnelly, T. W. ^[4]

Univ. of Granada (Spain). Carlos I Inst. of Theoretical and Computational Physics and Dept. of Atomic, Molecular and Nuclear Physics
Univ. of Turin and National Inst. of Nuclear Physics (INFN), Torino (Italy). Dept. of Atomic Physics
Univ. of Seville (Spain). Dept. of Atomic Physics
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics and Lab. for Nuclear Science and Dept. of Physics

Here, we present a fast and efficient method to compute the inclusive two-particle two-hole (2p–2h) electroweak responses in the neutrino and electron quasielastic inclusive cross sections. The method is based on two approximations. The first neglects the motion of the two initial nucleons below the Fermi momentum, which are considered to be at rest. This approximation, which is reasonable for high values of the momentum transfer, turns out also to be quite good for moderate values of the momentum transfer q ≳kF. The second approximation involves using in the “frozen” meson-exchange currents (MEC) an effective Δ-propagator averaged over the Fermi sea. Within the resulting “frozen nucleon approximation”, the inclusive 2p–2h responses are accurately calculated with only a one-dimensional integral over the emission angle of one of the final nucleons, thus drastically simplifying the calculation and reducing the computational time. The latter makes this method especially well-suited for implementation in Monte Carlo neutrino event generators.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE; Ministry of Economy, Industry and Competitiveness (MINECO); European Regional Development Fund (ERDF); National Inst. of Nuclear Physics (INFN); Regional Government of Andalusia

Grant/Contract Number:: FC02-94ER40818; FIS2014-559386-P; FIS2014-53448-C2-1; FQM-225; FQM160; FQM7632

OSTI ID:: 1353496

Alternate ID(s):: OSTI ID: 1427739

Journal Information:: Physics Letters. B, Journal Name: Physics Letters. B Vol. 770 Journal Issue: C; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Cited by: 13 works

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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Title: The frozen nucleon approximation in two-particle two-hole response functions

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