Relativistic effects in ab initio electron-nucleus scattering

Rocco, Noemi; Leidemann, Winfried; Lovato, Alessandro; Orlandini, Giuseppina

doi:10.1103/PhysRevC.97.055501

Title: Relativistic effects in ab initio electron-nucleus scattering

Abstract

The electromagnetic responses obtained from Green's function Monte Carlo (GFMC) calculations are based on realistic treatments of nuclear interactions and currents. The main limitations of this method comes from its nonrelativistic nature and its computational cost, the latter hampering the direct evaluation of the inclusive cross sections as measured by experiments. We extend the applicability of GFMC in the quasielastic region to intermediate momentum transfers by performing the calculations in a reference frame that minimizes nucleon momenta. Additional relativistic effects in the kinematics are accounted for employing the two-fragment model. In addition, we developed a novel algorithm, based on the concept of first-kind scaling, to compute the inclusive electromagnetic cross section of ⁴He through an accurate and reliable interpolation of the response functions. A very good agreement is obtained between theoretical and experimental cross sections for a variety of kinematical setups. Finally, this offers a promising prospect for the data analysis of neutrino-oscillation experiments that requires an accurate description of nuclear dynamics in which relativistic effects are fully accounted for.

Authors:

Rocco, Noemi ^[1]; Leidemann, Winfried ^[2]; Lovato, Alessandro ^[3]; Orlandini, Giuseppina ^[2]

Univ. of Surrey, Guildford (United Kingdom)
Univ. di Trento, Trento (Italy); INFN-TIFPA Trento Institute of Fundamental Physics and Applications, Trento (Italy)
INFN-TIFPA Trento Institute of Fundamental Physics and Applications, Trento (Italy); Argonne National Lab. (ANL), Argonne, IL (United States)

Publication Date:: Fri May 04 00:00:00 EDT 2018

Research Org.:: Argonne National Lab. (ANL), Argonne, IL (United States)

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

OSTI Identifier:: 1466405

Alternate Identifier(s):: OSTI ID: 1436009

Grant/Contract Number:: AC02-06CH11357

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 97; Journal Issue: 5; 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


                    Rocco, Noemi, Leidemann, Winfried, Lovato, Alessandro, and Orlandini, Giuseppina. Relativistic effects in ab initio electron-nucleus scattering.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevC.97.055501.

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                    Rocco, Noemi, Leidemann, Winfried, Lovato, Alessandro, & Orlandini, Giuseppina. Relativistic effects in ab initio electron-nucleus scattering.  United States.  https://doi.org/10.1103/PhysRevC.97.055501

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                    Rocco, Noemi, Leidemann, Winfried, Lovato, Alessandro, and Orlandini, Giuseppina. Fri .  
"Relativistic effects in ab initio electron-nucleus scattering".  United States.  https://doi.org/10.1103/PhysRevC.97.055501.  https://www.osti.gov/servlets/purl/1466405.

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@article{osti_1466405,

  title        = {Relativistic effects in ab initio electron-nucleus scattering},

  author       = {Rocco, Noemi and Leidemann, Winfried and Lovato, Alessandro and Orlandini, Giuseppina},

  abstractNote = {The electromagnetic responses obtained from Green's function Monte Carlo (GFMC) calculations are based on realistic treatments of nuclear interactions and currents. The main limitations of this method comes from its nonrelativistic nature and its computational cost, the latter hampering the direct evaluation of the inclusive cross sections as measured by experiments. We extend the applicability of GFMC in the quasielastic region to intermediate momentum transfers by performing the calculations in a reference frame that minimizes nucleon momenta. Additional relativistic effects in the kinematics are accounted for employing the two-fragment model. In addition, we developed a novel algorithm, based on the concept of first-kind scaling, to compute the inclusive electromagnetic cross section of 4He through an accurate and reliable interpolation of the response functions. A very good agreement is obtained between theoretical and experimental cross sections for a variety of kinematical setups. Finally, this offers a promising prospect for the data analysis of neutrino-oscillation experiments that requires an accurate description of nuclear dynamics in which relativistic effects are fully accounted for.},

  doi          = {10.1103/PhysRevC.97.055501},

  journal      = {Physical Review C},

  number       = 5,

  volume       = 97,

  place        = {United States},

  year         = {Fri May 04 00:00:00 EDT 2018},

  month        = {Fri May 04 00:00:00 EDT 2018}

}

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Title: Relativistic effects in ab initio electron-nucleus scattering

Abstract

Citation Formats

Ab Initio Calculation of the Hoyle State journal, May 2011

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

Ab initio no core shell model journal, March 2013

Accurate nucleon-nucleon potential with charge-independence breaking journal, January 1995

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

Semirelativistic description of quasielastic neutrino reactions and superscaling in a continuum shell model journal, June 2005

Colloquium : Three-body forces: From cold atoms to nuclei journal, January 2013

Neutrino–nucleus cross sections for oscillation experiments journal, December 2017

Transverse electron scattering response function of He 3 with Δ -isobar degrees of freedom journal, November 2010

Green’s function Monte Carlo study of light nuclei journal, November 1987

The Lorentz Integral Transform and its Inversion journal, January 2010

Modern ab initio approaches and applications in few-nucleon physics with journal, January 2013

The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei journal, March 2016

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

Response functions from integral transforms with a Lorentz kernel journal, October 1994

Absolute electron-proton cross sections at low momentum transfer measured with a high pressure gas target system journal, January 1980

Analysis of electromagnetic nucleon form factors journal, November 1976

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

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

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

The Lorentz integral transform (LIT) method and its applications to perturbation-induced reactions journal, October 2007

Self-consistent Green's functions formalism with three-body interactions journal, November 2013

Search for three-nucleon force effects on the longitudinal response function of He 4 journal, December 2009

Consistent treatment of relativistic effects in electrodisintegration of the deuteron journal, May 1997

Inclusive neutrino scattering off the deuteron from threshold to GeV energies journal, September 2012

Isoscalar Monopole Resonance of the Alpha Particle: A Prism to Nuclear Hamiltonians journal, January 2013

Longitudinal and transverse quasielastic response functions of light nuclei journal, January 2002

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Quantum Monte Carlo calculation of neutral-current ν − C 12 inclusive quasielastic scattering journal, February 2018

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Improved ( e , e ' ) response functions at intermediate momentum transfers: The He 3 case journal, July 2005

Relativistic γ-scaling and the Coulomb sum rule in nuclei journal, November 1998

Improved transverse ( e , e ' ) response function of He 3 at intermediate momentum transfers journal, March 2010

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

Frame dependence of He 3 transverse ( e , e ′ ) response functions at intermediate momentum transfers journal, May 2011

Elastic electron-deuteron scattering and the electric neutron form factor at four-momentum transfers 5 fm−2 < q2 < 14 fm−2 journal, January 1971

Role of the Final-State Interaction and Three-Body Force on the Longitudinal Response Function of He 4 journal, April 2009

Quantum Monte Carlo methods for nuclear physics journal, September 2015

Transverse electron scattering response function of 3He in the quasi-elastic peak region and beyond with Δ isobar degrees of freedom journal, November 2011

Ab Initio Calculation of the Hoyle State
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Electromagnetic scaling functions within the Green's function Monte Carlo approach
journal, July 2017

Ab initio no core shell model
journal, March 2013

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journal, January 1995

Neutrino–nucleus interactions and the determination of oscillation parameters
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Semirelativistic description of quasielastic neutrino reactions and superscaling in a continuum shell model
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Colloquium : Three-body forces: From cold atoms to nuclei
journal, January 2013

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Transverse electron scattering response function of ${}^{3}{He}$ with $Δ$ -isobar degrees of freedom
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Green’s function Monte Carlo study of light nuclei
journal, November 1987

The Lorentz Integral Transform and its Inversion
journal, January 2010

Modern ab initio approaches and applications in few-nucleon physics with
journal, January 2013

The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei
journal, March 2016

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

Response functions from integral transforms with a Lorentz kernel
journal, October 1994

Absolute electron-proton cross sections at low momentum transfer measured with a high pressure gas target system
journal, January 1980

Analysis of electromagnetic nucleon form factors
journal, November 1976

Electromagnetic Response of ${}^{12}C$ : A First-Principles Calculation
journal, August 2016

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

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

The Lorentz integral transform (LIT) method and its applications to perturbation-induced reactions
journal, October 2007

Self-consistent Green's functions formalism with three-body interactions
journal, November 2013

Search for three-nucleon force effects on the longitudinal response function of ${}^{4}{He}$
journal, December 2009

Consistent treatment of relativistic effects in electrodisintegration of the deuteron
journal, May 1997

Inclusive neutrino scattering off the deuteron from threshold to GeV energies
journal, September 2012

Isoscalar Monopole Resonance of the Alpha Particle: A Prism to Nuclear Hamiltonians
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Longitudinal and transverse quasielastic response functions of light nuclei
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journal, December 2001

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journal, July 2005

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journal, November 1998

Improved transverse $(e, e^{'})$ response function of ${}^{3}{He}$ at intermediate momentum transfers
journal, March 2010

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

Frame dependence of ${}^{3}{He}$ transverse $(e, e^{'})$ response functions at intermediate momentum transfers
journal, May 2011

Elastic electron-deuteron scattering and the electric neutron form factor at four-momentum transfers 5 fm−2 < q2 < 14 fm−2
journal, January 1971

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journal, April 2009

Quantum Monte Carlo methods for nuclear physics
journal, September 2015

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