Electromagnetic and neutral-weak response functions of 4He and 12C

Lovato, A.; Gandolfi, Stefano; Carlson, Joseph Allen; Pieper, Steven C.; Schiavilla, R.

doi:10.1103/PhysRevC.91.062501

Title: Electromagnetic and neutral-weak response functions of ⁴He and ¹²C

Journal Article · Thu Jun 04 00:00:00 EDT 2015 · Physical Review C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.91.062501· OSTI ID:1406196

Lovato, A. ^[1];

^[2];

^[2]; Pieper, Steven C. ^[1]; Schiavilla, R. ^[3]

Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center; Old Dominion Univ., Norfolk, VA (United States). Dept. of Physics

A major goal of nuclear theory is to understand the strong interaction in nuclei as it manifests itself in terms of two- and many-body forces among the nuclear constituents, the protons and neutrons, and the interactions of these constituents with external electroweak probes via one- and many-body currents. The objective of the present work is to calculate the quasielastic electroweak response functions in light nuclei within the realistic dynamical framework outlined above. These response functions determine the inclusive cross section as function of the lepton momentum and energy transfers. Their ab initio calculation is a very challenging quantum many-body problem, since it requires summation over the entire excitation spectrum of the nucleus and inclusion in the electroweak currents of one- and many-body terms. Green's functions Monte Carlo methods allow one to circumvent both difficulties by computing the response in imaginary time (the so-called Euclidean response) and hence summing implicitly over the bound and continuum states of the nucleus, and by implementing specific algorithms designed to deal with the complicated spin-isospin structure of nuclear many-body operators. Theoretical predictions for ⁴He and ¹²C, confirmed by experiment in the electromagnetic case, show that two-body currents generate excess transverse strength from threshold to the quasielastic to the dip region and beyond. In conclusion, these results challenge the conventional picture of quasielastic inclusive scattering as being largely dominated by single-nucleon knockout processes.

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Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC52-06NA25396; AC02-06CH11357; AC02-05CH11231; AC05-06OR23177

OSTI ID:: 1406196

Alternate ID(s):: OSTI ID: 1184690

Report Number(s):: LA-UR-15-20031; TRN: US1702904

Journal Information:: Physical Review C, Nuclear Physics, Vol. 91, Issue 6; ISSN 0556-2813

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 55 works

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References (29)

Quasi-elastic response functions. The Coulomb sum revisited Jourdan, J. Nuclear Physics A, Vol. 603, Issue 2 https://doi.org/10.1016/0375-9474(96)00143-1	journal	June 1996
Neutrino and antineutrino quasielastic interactions with nuclei Martini, M.; Ericson, M.; Chanfray, G. Physical Review C, Vol. 81, Issue 4 https://doi.org/10.1103/PhysRevC.81.045502	journal	April 2010
Muon capture on deuteron and ${}^{3}{He}$ Marcucci, L. E.; Piarulli, M.; Viviani, M. Physical Review C, Vol. 83, Issue 1 https://doi.org/10.1103/PhysRevC.83.014002	journal	January 2011
Inclusive charged-current neutrino-nucleus reactions Nieves, J.; Simo, I. Ruiz; Vacas, M. J. Vicente Physical Review C, Vol. 83, Issue 4 https://doi.org/10.1103/PhysRevC.83.045501	journal	April 2011
Charge Form Factor and Sum Rules of Electromagnetic Response Functions in ${}^{12}C$ Lovato, A.; Gandolfi, S.; Butler, Ralph Physical Review Letters, Vol. 111, Issue 9 https://doi.org/10.1103/PhysRevLett.111.092501	journal	August 2013
Accurate nucleon-nucleon potential with charge-independence breaking Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R. Physical Review C, Vol. 51, Issue 1 https://doi.org/10.1103/PhysRevC.51.38	journal	January 1995
Inclusive neutrino scattering off the deuteron from threshold to GeV energies Shen, G.; Marcucci, L. E.; Carlson, J. Physical Review C, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevC.86.035503	journal	September 2012
Modeling neutrino–nucleus interactions. Do we need a new paradigm? Benhar, Omar Nuclear Physics B - Proceedings Supplements, Vol. 229-232 https://doi.org/10.1016/j.nuclphysbps.2012.09.028	journal	August 2012
Longitudinal and transverse quasielastic response functions of light nuclei Carlson, J.; Jourdan, J.; Schiavilla, R. Physical Review C, Vol. 65, Issue 2 https://doi.org/10.1103/PhysRevC.65.024002	journal	January 2002
Euclidean proton response in light nuclei Carlson, J.; Schiavilla, R. Physical Review Letters, Vol. 68, Issue 25 https://doi.org/10.1103/PhysRevLett.68.3682	journal	June 1992
The 2p–2h electromagnetic response in the quasielastic peak and beyond De Pace, A.; Nardi, M.; Alberico, W. M. Nuclear Physics A, Vol. 726, Issue 3-4 https://doi.org/10.1016/S0375-9474(03)01625-7	journal	October 2003
Inclusive electron scattering and pion degrees of freedom in light nuclei Carlson, J.; Schiavilla, R. Physical Review C, Vol. 49, Issue 6 https://doi.org/10.1103/PhysRevC.49.R2880	journal	June 1994
Structure and dynamics of few-nucleon systems Carlson, J.; Schiavilla, R. Reviews of Modern Physics, Vol. 70, Issue 3 https://doi.org/10.1103/RevModPhys.70.743	journal	July 1998
The Illinois Extension to the Fujita-Miyazawa Three-Nucleon Force Pieper, Steven C.; Sakai, Hideyuki; Sekiguchi, Kimiko POLARIZED ANTIPROTON BEAMS - HOW: An International Workshop, AIP Conference Proceedings https://doi.org/10.1063/1.2932280	conference	January 2008
Meson-exchange currents and quasielastic neutrino cross sections in the superscaling approximation model Amaro, J. E.; Barbaro, M. B.; Caballero, J. A. Physics Letters B, Vol. 696, Issue 1-2 https://doi.org/10.1016/j.physletb.2010.12.007	journal	January 2011
Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data Jarrell, Mark; Gubernatis, J. E. Physics Reports, Vol. 269, Issue 3 https://doi.org/10.1016/0370-1573(95)00074-7	journal	May 1996
Unified approach for nucleon knock-out and coherent and incoherent pion production in neutrino interactions with nuclei Martini, M.; Ericson, M.; Chanfray, G. Physical Review C, Vol. 80, Issue 6 https://doi.org/10.1103/PhysRevC.80.065501	journal	December 2009
Role of the Final-State Interaction and Three-Body Force on the Longitudinal Response Function of ${}^{4}{He}$ Bacca, Sonia; Barnea, Nir; Leidemann, Winfried Physical Review Letters, Vol. 102, Issue 16 https://doi.org/10.1103/PhysRevLett.102.162501	journal	April 2009
Green’s function Monte Carlo study of light nuclei Carlson, J. Physical Review C, Vol. 36, Issue 5 https://doi.org/10.1103/PhysRevC.36.2026	journal	November 1987
Neutral Weak Current Two-Body Contributions in Inclusive Scattering from ${}^{12}C$ Lovato, A.; Gandolfi, S.; Carlson, J. Physical Review Letters, Vol. 112, Issue 18 https://doi.org/10.1103/PhysRevLett.112.182502	journal	May 2014
Modern ab initio approaches and applications in few-nucleon physics with Leidemann, Winfried; Orlandini, Giuseppina Progress in Particle and Nuclear Physics, Vol. 68 https://doi.org/10.1016/j.ppnp.2012.09.001	journal	January 2013
Weak transitions in $A = 6$ and 7 nuclei Schiavilla, R.; Wiringa, R. B. Physical Review C, Vol. 65, Issue 5 https://doi.org/10.1103/PhysRevC.65.054302	journal	April 2002
A unified approach for nucleon knock-out, coherent and incoherent pion production in neutrino interactions with nuclei Martini, M.; Ericson, M.; Chanfray, G. arXiv https://doi.org/10.48550/arxiv.0910.2622	text	January 2009
Neutrino and antineutrino quasielastic interactions with nuclei Martini, M.; Ericson, M.; Chanfray, G. arXiv https://doi.org/10.48550/arxiv.1002.4538	text	January 2010
Meson-exchange currents and quasielastic neutrino cross sections in the SuperScaling Approximation model Amaro, J. E.; Barbaro, M. B.; Caballero, J. A. arXiv https://doi.org/10.48550/arxiv.1010.1708	text	January 2010
Inclusive neutrino scattering off deuteron from threshold to GeV energies Shen, G.; Marcucci, L. E.; Carlson, J. arXiv https://doi.org/10.48550/arxiv.1205.4337	text	January 2012
Weak Transitions in A=6 and 7 Nuclei Schiavilla, R.; Wiringa, R. B. arXiv https://doi.org/10.48550/arxiv.nucl-th/0201076	text	January 2002
The 2p-2h electromagnetic response in the quasielastic peak and beyond De Pace, A.; Nardi, M.; Alberico, W. M. arXiv https://doi.org/10.48550/arxiv.nucl-th/0304084	text	January 2003
An accurate nucleon-nucleon potential with charge-independence breaking Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R. arXiv https://doi.org/10.48550/arxiv.nucl-th/9408016	text	January 1994

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Low-energy neutrino scattering in experiment and astrophysics Jachowicz, N.; Dessel, N. Van; Nikolakopoulos, A. Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 8 https://doi.org/10.1088/1361-6471/ab25d4	journal	July 2019
Neutral current neutrino-nucleus scattering: theory Giusti, Carlotta; Ivanov, Martin V. Journal of Physics G: Nuclear and Particle Physics, Vol. 47, Issue 2 https://doi.org/10.1088/1361-6471/ab5251	journal	January 2020
From response functions to cross sections in neutrino scattering off the deuteron and trinucleons Golak, J.; Skibiński, R.; Topolnicki, K. Physical Review C, Vol. 100, Issue 6 https://doi.org/10.1103/physrevc.100.064003	journal	December 2019
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Nuclear Axial Currents in Chiral Effective Field Theory Baroni, A.; Girlanda, L.; Pastore, S. arXiv https://doi.org/10.48550/arxiv.1509.07039	text	January 2015
Unified description of electron-nucleus scattering within the spectral function formalism Rocco, Noemi; Lovato, Alessandro; Benhar, Omar arXiv https://doi.org/10.48550/arxiv.1512.07426	text	January 2015
Neutrino-Induced Reactions on Nuclei Gallmeister, K.; Mosel, U.; Weil, J. arXiv https://doi.org/10.48550/arxiv.1605.09391	text	January 2016
Momentum space treatment of inclusive neutrino scattering off the deuteron and trinucleons Golak, J.; Skibinski, R.; Topolnicki, K. arXiv https://doi.org/10.48550/arxiv.1805.00103	text	January 2018
Lattice QCD and Neutrino-Nucleus Scattering Kronfeld, Andreas S.; Richards, David G.; Detmold, William arXiv https://doi.org/10.48550/arxiv.1904.09931	text	January 2019
Neutral Current Neutrino-Nucleus Scattering. Theory Giusti, Carlotta; Ivanov, Martin V. arXiv https://doi.org/10.48550/arxiv.1908.08603	text	January 2019

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