DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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:
 [1];  [2];  [3];  [1]
  1. Centro Mixto CSIC-Univ. de Valencia, Valencia (Spain). Inst. de Física Corpuscular (IFIC), Inst. de Investigación de Paterna
  2. Univ. of Surrey, Guildford (United Kingdom). Dept. of Physics
  3. 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 Laboratory (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 = {Wed Mar 28 00:00:00 EDT 2018},
month = {Wed Mar 28 00:00:00 EDT 2018}
}

Journal Article:

Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Momentum distribution of nucleons in nuclear matter
journal, October 1984


Quantum Monte Carlo calculations of nuclei with A <~ 7
journal, October 1997


Single-particle potential in dense nuclear matter
journal, December 1988


A mesonic decay in nuclei and the occupation number
journal, June 1991


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
  • DOI: 10.1103/PhysRevC.51.38

Mesonic and binding contributions to the nuclear Drell-Yan process
journal, January 1999


Neutrino–nucleus interactions and the determination of oscillation parameters
journal, July 2017


Extended superscaling of electron scattering from nuclei
journal, January 2002


Unified Description of Electron-Nucleus Scattering within the Spectral Function Formalism
journal, May 2016


Correlated basis theory of nucleon optical potential in nuclear matter
journal, May 1983


Spectral function of finite nuclei and scattering of GeV electrons
journal, October 1994


Electron- and neutrino-nucleus scattering in the impulse approximation regime
journal, September 2005


Improving the accuracy of neutrino energy reconstruction in charged-current quasielastic scattering off nuclear targets
journal, February 2015


The nucleon spectral function in nuclear matter
journal, December 1989


Global Dirac phenomenology for proton-nucleus elastic scattering
journal, January 1993


Comparison of the electromagnetic responses of C 12 obtained from the Green's function Monte Carlo and spectral function approaches
journal, December 2016


Realistic models of pion-exchange three-nucleon interactions
journal, June 2001


Scaling function, spectral function, and nucleon momentum distribution in nuclei
journal, April 2011


Inclusive quasielastic charged-current neutrino-nucleus reactions
journal, November 2004


Scaling in electron scattering from a relativistic Fermi gas
journal, October 1988


Charge Form Factor and Sum Rules of Electromagnetic Response Functions in C 12
journal, August 2013


Electromagnetic Response of C 12 : A First-Principles Calculation
journal, August 2016


Impact of nuclear effects on the determination of the nucleon axial mass
journal, October 2009


Nuclear medium modification of the structure function
journal, May 2011


Extensions of superscaling from relativistic mean field theory: The SuSAv2 model
journal, September 2014


y -scaling analysis of the electromagnetic longitudinal and transverse response functions
journal, April 1989


Dynamics of the shell model
journal, April 1985


Quasielastic Charged-Current Neutrino-Nucleus Scattering
journal, June 2007


Scaling and isospin effects in quasielastic lepton–nucleus scattering in the relativistic mean field approach
journal, September 2007


Deep-inelastic electron scattering from carbon
journal, July 1983


Scaling in Many-Body Systems and Proton Structure Function
journal, November 2003


Intercomparison of lepton-nucleus scattering models in the quasielastic region
journal, October 2017


Semiphenomenological approach to nucleon properties in nuclear matter
journal, November 1992


Nucleon and nucleon-pair momentum distributions in A 12 nuclei
journal, February 2014


Inelastic Neutrino-Nucleus Interactions within the Spectral Function Formalism
journal, April 2017


Inclusive nucleon emission induced by quasielastic neutrino-nucleus interactions
journal, February 2006


The nuclear scaling function and quasi-elastic electron scattering by nuclei
journal, April 1982


Electromagnetic scaling functions within the Green's function Monte Carlo approach
journal, July 2017


Nuclear charge- and magnetization-density-distribution parameters from elastic electron scattering
journal, November 1974


Total neutrino and antineutrino nuclear cross sections around 1 GeV
journal, June 2007


Nuclear charge-density-distribution parameters from elastic electron scattering
journal, May 1987


Single-particle properties and short-range correlations in nuclear matter
journal, October 1989


Mesonic and binding contributions to the EMC effect in a relativistic many-body approach
journal, December 1996


Electron scattering from atoms, nuclei and nucleons
journal, June 1975


Deep inelastic lepton scattering in nuclei at x > 1 and the nucleon spectral function
journal, December 1996


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
  • DOI: 10.1143/PTPS.117.461

Inclusive quasielastic electron-nucleus scattering
journal, January 2008


A theoretical approach to pionic atoms and the problem of anomalies
journal, March 1993


Many-body approach to the inclusive (e, e′) reaction from the quasielastic to the Δ excitation region
journal, December 1997


Scattering of GeV electrons by nuclear matter
journal, December 1991


y scaling in electron-nucleus scattering
journal, July 1987


Quasielastic ( e , e p ) reaction on C 12 , Fe 56 , and Au 197
journal, December 2003


Superscaling in Inclusive Electron-Nucleus Scattering
journal, April 1999


Quasi-free (e, e'p) scattering on 12C, 28Si, 40Ca and 58Ni
journal, May 1976


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


Electroweak Nuclear Response in the Quasielastic Regime
journal, September 2010


The Quantum Theory of Fields
book, May 2013


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
  • DOI: 10.1103/PhysRevC.41.R24

η bound states in nuclei
journal, December 2002


Orthogonalization of correlated states
journal, April 1988


Interaction of real photons with nuclei from 100 to 500 MeV
journal, January 1992


Perturbation theory of nuclear matter with a microscopic effective interaction
journal, November 2017


Superscaling in Charged Current Neutrino Quasielastic Scattering in the Relativistic Impulse Approximation
journal, December 2005


Electromagnetic and neutral-weak response functions of He 4 and C 12
journal, June 2015


Contribution of two-particle–two-hole final states to the nuclear response
journal, August 2015


In medium dispersion relation effects in nuclear inclusive reactions at intermediate and low energies
journal, August 2017


Quantum Monte Carlo methods for nuclear physics
journal, September 2015


Final-state interactions in the nuclear response at large momentum transfer
journal, February 2013


Works referencing / citing this record: