Scaling within the spectral function approach
Abstract
Scaling features of the nuclear electromagnetic response functions unveil aspects of nuclear dynamics that are crucial for interpreting neutrino-and electron-scattering data. In the large momentum-transfer regime, the nucleon-density response function defines a universal scaling function, which is independent of the nature of the probe. In this work, we analyze the nucleon-density response function of 12C, neglecting collective excitations. We employ particle and hole spectral functions obtained within two distinct many-body methods, both widely used to describe electroweak reactions in nuclei. We show that the two approaches provide compatible nucleon-density scaling functions that for large momentum transfers satisfy first-kind scaling. Both methods yield scaling functions characterized by an asymmetric shape, although less pronounced than that of experimental scaling functions. Finally, this asymmetry, only mildly affected by final state interactions, is mostly due to nucleon-nucleon correlations, encoded in the continuum component of the hole spectral function.
- Authors:
-
- Centro Mixto CSIC-Univ. de Valencia, Valencia (Spain). Inst. de Física Corpuscular (IFIC), Inst. de Investigación de Paterna
- Univ. of Surrey, Guildford (United Kingdom). Dept. of Physics
- INFN-TIFPA Trento Inst. of Fundamental Physics and Applications, Trento (Italy); Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division
- Publication Date:
- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); Spanish Ministerio de Economia y Competitividad (MINECO); Consiglio Nazionale delle Ricerche (CNR)
- OSTI Identifier:
- 1466302
- Alternate Identifier(s):
- OSTI ID: 1430155
- Grant/Contract Number:
- AC02-06CH11357; FIS2014-51948-C2-1-P; FIS2014-51948-C2-2-P; FIS2017-84038-C2-1-P; SEV-2014-0398
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 97; Journal Issue: 3; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Sobczyk, J. E., Rocco, N., Lovato, A., and Nieves, J. Scaling within the spectral function approach. United States: N. p., 2018.
Web. doi:10.1103/PhysRevC.97.035506.
Sobczyk, J. E., Rocco, N., Lovato, A., & Nieves, J. Scaling within the spectral function approach. United States. https://doi.org/10.1103/PhysRevC.97.035506
Sobczyk, J. E., Rocco, N., Lovato, A., and Nieves, J. Wed .
"Scaling within the spectral function approach". United States. https://doi.org/10.1103/PhysRevC.97.035506. https://www.osti.gov/servlets/purl/1466302.
@article{osti_1466302,
title = {Scaling within the spectral function approach},
author = {Sobczyk, J. E. and Rocco, N. and Lovato, A. and Nieves, J.},
abstractNote = {Scaling features of the nuclear electromagnetic response functions unveil aspects of nuclear dynamics that are crucial for interpreting neutrino-and electron-scattering data. In the large momentum-transfer regime, the nucleon-density response function defines a universal scaling function, which is independent of the nature of the probe. In this work, we analyze the nucleon-density response function of 12C, neglecting collective excitations. We employ particle and hole spectral functions obtained within two distinct many-body methods, both widely used to describe electroweak reactions in nuclei. We show that the two approaches provide compatible nucleon-density scaling functions that for large momentum transfers satisfy first-kind scaling. Both methods yield scaling functions characterized by an asymmetric shape, although less pronounced than that of experimental scaling functions. Finally, this asymmetry, only mildly affected by final state interactions, is mostly due to nucleon-nucleon correlations, encoded in the continuum component of the hole spectral function.},
doi = {10.1103/PhysRevC.97.035506},
journal = {Physical Review C},
number = 3,
volume = 97,
place = {United States},
year = {2018},
month = {3}
}
Web of Science
Works referenced in this record:
Momentum distribution of nucleons in nuclear matter
journal, October 1984
- Fantoni, S.; Pandharipande, V. R.
- Nuclear Physics A, Vol. 427, Issue 3
Quantum Monte Carlo calculations of nuclei with
journal, October 1997
- Pudliner, B. S.; Pandharipande, V. R.; Carlson, J.
- Physical Review C, Vol. 56, Issue 4
Single-particle potential in dense nuclear matter
journal, December 1988
- Wiringa, R. B.
- Physical Review C, Vol. 38, Issue 6
A mesonic decay in nuclei and the occupation number
journal, June 1991
- De Cordoba, P. Fernández; Oset, E.
- Nuclear Physics A, Vol. 528, Issue 3-4
Accurate nucleon-nucleon potential with charge-independence breaking
journal, January 1995
- Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R.
- Physical Review C, Vol. 51, Issue 1
Mesonic and binding contributions to the nuclear Drell-Yan process
journal, January 1999
- Marco, E.; Oset, E.
- Nuclear Physics A, Vol. 645, Issue 2
Neutrino–nucleus interactions and the determination of oscillation parameters
journal, July 2017
- Benhar, Omar; Huber, Patrick; Mariani, Camillo
- Physics Reports, Vol. 700
Extended superscaling of electron scattering from nuclei
journal, January 2002
- Maieron, C.; Donnelly, T. W.; Sick, Ingo
- Physical Review C, Vol. 65, Issue 2
Unified Description of Electron-Nucleus Scattering within the Spectral Function Formalism
journal, May 2016
- Rocco, Noemi; Lovato, Alessandro; Benhar, Omar
- Physical Review Letters, Vol. 116, Issue 19
Correlated basis theory of nucleon optical potential in nuclear matter
journal, May 1983
- Fantoni, S.; Friman, B. L.; Pandharipande, V. R.
- Nuclear Physics A, Vol. 399, Issue 1
Spectral function of finite nuclei and scattering of GeV electrons
journal, October 1994
- Benhar, O.; Fabrocini, A.; Fantoni, S.
- Nuclear Physics A, Vol. 579, Issue 3-4
Electron- and neutrino-nucleus scattering in the impulse approximation regime
journal, September 2005
- Benhar, Omar; Farina, Nicola; Nakamura, Hiroki
- Physical Review D, Vol. 72, Issue 5
Improving the accuracy of neutrino energy reconstruction in charged-current quasielastic scattering off nuclear targets
journal, February 2015
- Ankowski, Artur M.; Benhar, Omar; Sakuda, Makoto
- Physical Review D, Vol. 91, Issue 3
The nucleon spectral function in nuclear matter
journal, December 1989
- Benhar, Omar; Fabrocini, Adelchi; Fantoni, Stefano
- Nuclear Physics A, Vol. 505, Issue 2
Global Dirac phenomenology for proton-nucleus elastic scattering
journal, January 1993
- Cooper, E. D.; Hama, S.; Clark, B. C.
- Physical Review C, Vol. 47, Issue 1
Comparison of the electromagnetic responses of obtained from the Green's function Monte Carlo and spectral function approaches
journal, December 2016
- Rocco, Noemi; Lovato, Alessandro; Benhar, Omar
- Physical Review C, Vol. 94, Issue 6
Realistic models of pion-exchange three-nucleon interactions
journal, June 2001
- Pieper, Steven C.; Pandharipande, V. R.; Wiringa, R. B.
- Physical Review C, Vol. 64, Issue 1
Scaling function, spectral function, and nucleon momentum distribution in nuclei
journal, April 2011
- Antonov, A. N.; Ivanov, M. V.; Caballero, J. A.
- Physical Review C, Vol. 83, Issue 4
Inclusive quasielastic charged-current neutrino-nucleus reactions
journal, November 2004
- Nieves, J.; Amaro, J. E.; Valverde, M.
- Physical Review C, Vol. 70, Issue 5
Scaling in electron scattering from a relativistic Fermi gas
journal, October 1988
- Alberico, W. M.; Molinari, A.; Donnelly, T. W.
- Physical Review C, Vol. 38, Issue 4
Charge Form Factor and Sum Rules of Electromagnetic Response Functions in
journal, August 2013
- Lovato, A.; Gandolfi, S.; Butler, Ralph
- Physical Review Letters, Vol. 111, Issue 9
Electromagnetic Response of : A First-Principles Calculation
journal, August 2016
- Lovato, A.; Gandolfi, S.; Carlson, J.
- Physical Review Letters, Vol. 117, Issue 8
Impact of nuclear effects on the determination of the nucleon axial mass
journal, October 2009
- Benhar, Omar; Meloni, Davide
- Physical Review D, Vol. 80, Issue 7
Nuclear medium modification of the structure function
journal, May 2011
- Sajjad Athar, M.; Ruiz Simó, I.; Vicente Vacas, M. J.
- Nuclear Physics A, Vol. 857, Issue 1
Extensions of superscaling from relativistic mean field theory: The SuSAv2 model
journal, September 2014
- González-Jiménez, R.; Megias, G. D.; Barbaro, M. B.
- Physical Review C, Vol. 90, Issue 3
y -scaling analysis of the electromagnetic longitudinal and transverse response functions
journal, April 1989
- Cenni, R.; degli Atti, C. Ciofi; Salmè, G.
- Physical Review C, Vol. 39, Issue 4
Dynamics of the shell model
journal, April 1985
- Mahaux, C.; Bortignon, P. F.; Broglia, R. A.
- Physics Reports, Vol. 120, Issue 1-4
Theory of mean removal energies for single particles in nuclei
journal, February 1974
- Koltun, Daniel S.
- Physical Review C, Vol. 9, Issue 2
Quasielastic Charged-Current Neutrino-Nucleus Scattering
journal, June 2007
- Amaro, J. E.; Barbaro, M. B.; Caballero, J. A.
- Physical Review Letters, Vol. 98, Issue 24
Scaling and isospin effects in quasielastic lepton–nucleus scattering in the relativistic mean field approach
journal, September 2007
- Caballero, J. A.; Amaro, J. E.; Barbaro, M. B.
- Physics Letters B, Vol. 653, Issue 2-4
Deep-inelastic electron scattering from carbon
journal, July 1983
- Barreau, P.; Bernheim, M.; Duclos, J.
- Nuclear Physics A, Vol. 402, Issue 3
Scaling in Many-Body Systems and Proton Structure Function
journal, November 2003
- Benhar, Omar
- International Journal of Modern Physics B, Vol. 17, Issue 28
Intercomparison of lepton-nucleus scattering models in the quasielastic region
journal, October 2017
- Sobczyk, Joanna E.
- Physical Review C, Vol. 96, Issue 4
Semiphenomenological approach to nucleon properties in nuclear matter
journal, November 1992
- Fernández de Córdoba, P.; Oset, E.
- Physical Review C, Vol. 46, Issue 5
Nucleon and nucleon-pair momentum distributions in nuclei
journal, February 2014
- Wiringa, R. B.; Schiavilla, R.; Pieper, Steven C.
- Physical Review C, Vol. 89, Issue 2
Inelastic Neutrino-Nucleus Interactions within the Spectral Function Formalism
journal, April 2017
- Vagnoni, Erica; Benhar, Omar; Meloni, Davide
- Physical Review Letters, Vol. 118, Issue 14
Inclusive nucleon emission induced by quasielastic neutrino-nucleus interactions
journal, February 2006
- Nieves, J.; Valverde, M.; Vacas, M. J. Vicente
- Physical Review C, Vol. 73, Issue 2
The nuclear scaling function and quasi-elastic electron scattering by nuclei
journal, April 1982
- Pace, E.; Salme′, G.
- Physics Letters B, Vol. 110, Issue 5
Electromagnetic scaling functions within the Green's function Monte Carlo approach
journal, July 2017
- Rocco, N.; Alvarez-Ruso, L.; Lovato, A.
- Physical Review C, Vol. 96, Issue 1
Nuclear charge- and magnetization-density-distribution parameters from elastic electron scattering
journal, November 1974
- De Jager, C. W.; De Vries, H.; De Vries, C.
- Atomic Data and Nuclear Data Tables, Vol. 14, Issue 5-6
Total neutrino and antineutrino nuclear cross sections around 1 GeV
journal, June 2007
- Benhar, Omar; Meloni, Davide
- Nuclear Physics A, Vol. 789, Issue 1-4
Nuclear charge-density-distribution parameters from elastic electron scattering
journal, May 1987
- De Vries, H.; De Jager, C. W.; De Vries, C.
- Atomic Data and Nuclear Data Tables, Vol. 36, Issue 3
Single-particle properties and short-range correlations in nuclear matter
journal, October 1989
- Ramos, A.; Polls, A.; Dickhoff, W. H.
- Nuclear Physics A, Vol. 503, Issue 1
Mesonic and binding contributions to the EMC effect in a relativistic many-body approach
journal, December 1996
- Marco, E.; Oset, E.; Fernández de Córdoba, P.
- Nuclear Physics A, Vol. 611, Issue 4
Electron scattering from atoms, nuclei and nucleons
journal, June 1975
- West, Geoffrey B.
- Physics Reports, Vol. 18, Issue 5
Deep inelastic lepton scattering in nuclei at x > 1 and the nucleon spectral function
journal, December 1996
- Fernández de Córdoba, P.; Marco, E.; Müther, H.
- Nuclear Physics A, Vol. 611, Issue 4
A Review on Mesonic Decay of Λ Hypernuclei
journal, January 1994
- Oset, E.; Fernández de Córdoba, P.; Nieves, J.
- Progress of Theoretical Physics Supplement, Vol. 117
Inclusive quasielastic electron-nucleus scattering
journal, January 2008
- Benhar, Omar; Day, Donal; Sick, Ingo
- Reviews of Modern Physics, Vol. 80, Issue 1
A theoretical approach to pionic atoms and the problem of anomalies
journal, March 1993
- Nieves, J.; Oset, E.; Garcia-Recio, C.
- Nuclear Physics A, Vol. 554, Issue 4
Many-body approach to the inclusive (e, e′) reaction from the quasielastic to the Δ excitation region
journal, December 1997
- Gil, A.; Nieves, J.; Oset, E.
- Nuclear Physics A, Vol. 627, Issue 4
Scattering of GeV electrons by nuclear matter
journal, December 1991
- Benhar, O.; Fabrocini, A.; Fantoni, S.
- Physical Review C, Vol. 44, Issue 6
y scaling in electron-nucleus scattering
journal, July 1987
- Day, D. B.; McCarthy, J. S.; Meziani, Z. E.
- Physical Review Letters, Vol. 59, Issue 4
Quasielastic reaction on , and
journal, December 2003
- Dutta, D.; van Westrum, D.; Abbott, D.
- Physical Review C, Vol. 68, Issue 6
Superscaling in Inclusive Electron-Nucleus Scattering
journal, April 1999
- Donnelly, T. W.; Sick, Ingo
- Physical Review Letters, Vol. 82, Issue 16
Quasi-free (e, e'p) scattering on 12C, 28Si, 40Ca and 58Ni
journal, May 1976
- Mougey, J.; Bernheim, M.; Bussière, A.
- Nuclear Physics A, Vol. 262, Issue 3
Nuclear effects in <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>F</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math> structure function of nucleon
journal, October 2008
- Athar, M. Sajjad; Singh, S. K.; Vacas, M. J. Vicente
- Physics Letters B, Vol. 668, Issue 2
Electroweak Nuclear Response in the Quasielastic Regime
journal, September 2010
- Benhar, Omar; Coletti, Pietro; Meloni, Davide
- Physical Review Letters, Vol. 105, Issue 13
Occupation probabilities and hole-state strengths in nuclear matter
journal, January 1990
- Benhar, Omar; Fabrocini, Adelchi; Fantoni, Stefano
- Physical Review C, Vol. 41, Issue 1
η bound states in nuclei
journal, December 2002
- Garcı́a-Recio, C.; Inoue, T.; Nieves, J.
- Physics Letters B, Vol. 550, Issue 1-2
Orthogonalization of correlated states
journal, April 1988
- Fantoni, S.; Pandharipande, V. R.
- Physical Review C, Vol. 37, Issue 4
Interaction of real photons with nuclei from 100 to 500 MeV
journal, January 1992
- Carrasco, R. C.; Oset, E.
- Nuclear Physics A, Vol. 536, Issue 3-4
Perturbation theory of nuclear matter with a microscopic effective interaction
journal, November 2017
- Benhar, Omar; Lovato, Alessandro
- Physical Review C, Vol. 96, Issue 5
Superscaling in Charged Current Neutrino Quasielastic Scattering in the Relativistic Impulse Approximation
journal, December 2005
- Caballero, J. A.; Amaro, J. E.; Barbaro, M. B.
- Physical Review Letters, Vol. 95, Issue 25
Electromagnetic and neutral-weak response functions of and
journal, June 2015
- Lovato, A.; Gandolfi, S.; Carlson, J.
- Physical Review C, Vol. 91, Issue 6
Contribution of two-particle–two-hole final states to the nuclear response
journal, August 2015
- Benhar, Omar; Lovato, Alessandro; Rocco, Noemi
- Physical Review C, Vol. 92, Issue 2
In medium dispersion relation effects in nuclear inclusive reactions at intermediate and low energies
journal, August 2017
- Nieves, Juan; Sobczyk, Joanna E.
- Annals of Physics, Vol. 383
Quantum Monte Carlo methods for nuclear physics
journal, September 2015
- Carlson, J.; Gandolfi, S.; Pederiva, F.
- Reviews of Modern Physics, Vol. 87, Issue 3
Final-state interactions in the nuclear response at large momentum transfer
journal, February 2013
- Benhar, Omar
- Physical Review C, Vol. 87, Issue 2
Works referencing / citing this record:
Polarization of in quasielastic (anti)neutrino scattering: The role of spectral functions
journal, September 2019
- Sobczyk, J. E.; Rocco, N.; Nieves, J.
- Physical Review C, Vol. 100, Issue 3
Electroweak pion production on nuclei within the extended factorization scheme
journal, October 2019
- Rocco, Noemi; Nakamura, Satoshi X.; Lee, T. -S. H.
- Physical Review C, Vol. 100, Issue 4
Realistic spectral function model for charged-current quasielastic-like neutrino and antineutrino scattering cross sections on
journal, January 2019
- Ivanov, M. V.; Antonov, A. N.; Megias, G. D.
- Physical Review C, Vol. 99, Issue 1
Polarization of tau in quasielastic (anti)neutrino scattering: the role of spectral functions
text, January 2019
- Sobczyk, J. E.; Rocco, N.; Nieves, J.
- arXiv