The frozen nucleon approximation in two-particle two-hole response functions
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...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2017-07-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269317303374 |
| _version_ | 1819114233393053696 |
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| author | I. Ruiz Simo J.E. Amaro M.B. Barbaro J.A. Caballero G.D. Megias T.W. Donnelly |
| author_facet | I. Ruiz Simo J.E. Amaro M.B. Barbaro J.A. Caballero G.D. Megias T.W. Donnelly |
| author_sort | I. Ruiz Simo |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-22T04:42:02Z |
| format | Article |
| id | doaj.art-186f9bdb4b2541b38881175a59451626 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-22T04:42:02Z |
| publishDate | 2017-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-186f9bdb4b2541b38881175a594516262022-12-21T18:38:43ZengElsevierPhysics Letters B0370-26931873-24452017-07-01770C19319910.1016/j.physletb.2017.04.063The frozen nucleon approximation in two-particle two-hole response functionsI. Ruiz Simo0J.E. Amaro1M.B. Barbaro2J.A. Caballero3G.D. Megias4T.W. Donnelly5Departamento de Física Atómica, Molecular y Nuclear, and Instituto de Física Teórica y Computacional Carlos I, Universidad de Granada, Granada 18071, SpainDepartamento de Física Atómica, Molecular y Nuclear, and Instituto de Física Teórica y Computacional Carlos I, Universidad de Granada, Granada 18071, SpainDipartimento di Fisica, Università di Torino and INFN, Sezione di Torino, Via P. Giuria 1, 10125 Torino, ItalyDepartamento de Física Atómica, Molecular y Nuclear, Universidad de Sevilla, Apdo.1065, 41080 Sevilla, SpainDepartamento de Física Atómica, Molecular y Nuclear, Universidad de Sevilla, Apdo.1065, 41080 Sevilla, SpainCenter for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USAWe 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.http://www.sciencedirect.com/science/article/pii/S0370269317303374Neutrino scatteringMeson-exchange currents2p–2h |
| spellingShingle | I. Ruiz Simo J.E. Amaro M.B. Barbaro J.A. Caballero G.D. Megias T.W. Donnelly The frozen nucleon approximation in two-particle two-hole response functions Physics Letters B Neutrino scattering Meson-exchange currents 2p–2h |
| title | The frozen nucleon approximation in two-particle two-hole response functions |
| title_full | The frozen nucleon approximation in two-particle two-hole response functions |
| title_fullStr | The frozen nucleon approximation in two-particle two-hole response functions |
| title_full_unstemmed | The frozen nucleon approximation in two-particle two-hole response functions |
| title_short | The frozen nucleon approximation in two-particle two-hole response functions |
| title_sort | frozen nucleon approximation in two particle two hole response functions |
| topic | Neutrino scattering Meson-exchange currents 2p–2h |
| url | http://www.sciencedirect.com/science/article/pii/S0370269317303374 |
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