Electromagnetic response of C12 : A first-principles calculation

Lovato, A.; Gandolfi, S.; Carlson, J.; Pieper, Steven C.; Schiavilla, R.

doi:10.1103/PhysRevLett.117.082501

Title: Electromagnetic response of ${}^{12}C$ : A first-principles calculation

Abstract

The longitudinal and transverse electromagnetic response functions of ¹²C are computed in a “first-principles” Green’s function Monte Carlo calculation, based on realistic two- and three-nucleon interactions and associated one- and two-body currents. Here we find excellent agreement between theory and experiment and, in particular, no evidence for the quenching of the measured versus calculated longitudinal response. This is further corroborated by a reanalysis of the Coulomb sum rule, in which the contributions from the low-lying J^π = 2⁺, 0$$+\atop{2}$$ (Hoyle), and 4⁺ states in ¹²C are accounted for explicitly in evaluating the total inelastic strength.

Authors:

Lovato, A. ^[1]; Gandolfi, S. ^[2]; Carlson, J. ^[2]; Pieper, Steven C. ^[1]; Schiavilla, R. ^[3]

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

Publication Date:: 2016-08-15

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Laboratory Directed Research and Development (LDRD) Program

OSTI Identifier:: 1295613

Alternate Identifier(s):: OSTI ID: 1294715; OSTI ID: 1345149

Report Number(s):: JLAB-THY-16-2241; DOE/OR/23177-3787; arXiv:1605.00248; LA-UR-16-22606
Journal ID: ISSN 0031-9007; PRLTAO

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

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 117; Journal Issue: 8; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Atomic and Nuclear Physics

Citation Formats


                    Lovato, A., Gandolfi, S., Carlson, J., Pieper, Steven C., and Schiavilla, R. Electromagnetic response of C12 : A first-principles calculation.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevLett.117.082501.

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                    Lovato, A., Gandolfi, S., Carlson, J., Pieper, Steven C., & Schiavilla, R. Electromagnetic response of C12 : A first-principles calculation.  United States.  https://doi.org/10.1103/PhysRevLett.117.082501

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                    Lovato, A., Gandolfi, S., Carlson, J., Pieper, Steven C., and Schiavilla, R. Mon .  
"Electromagnetic response of C12 : A first-principles calculation".  United States.  https://doi.org/10.1103/PhysRevLett.117.082501.  https://www.osti.gov/servlets/purl/1295613.

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@article{osti_1295613,

  title        = {Electromagnetic response of C12 : A first-principles calculation},

  author       = {Lovato, A. and Gandolfi, S. and Carlson, J. and Pieper, Steven C. and Schiavilla, R.},

  abstractNote = {The longitudinal and transverse electromagnetic response functions of 12C are computed in a “first-principles” Green’s function Monte Carlo calculation, based on realistic two- and three-nucleon interactions and associated one- and two-body currents. Here we find excellent agreement between theory and experiment and, in particular, no evidence for the quenching of the measured versus calculated longitudinal response. This is further corroborated by a reanalysis of the Coulomb sum rule, in which the contributions from the low-lying Jπ = 2+, 0$+\atop{2}$ (Hoyle), and 4+ states in 12C are accounted for explicitly in evaluating the total inelastic strength.},

  doi          = {10.1103/PhysRevLett.117.082501},

  journal      = {Physical Review Letters},

  number       = 8,

  volume       = 117,

  place        = {United States},

  year         = {2016},

  month        = {8}

}

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Title: Electromagnetic response of C 12 : A first-principles calculation

Abstract

Citation Formats

The effect of confinement size on nuclear structure functions journal, September 1983

Polarization Transfer in the H e 4 ( e → , e ′ p → ) H 3 Reaction up to Q 2 = 2.6 ( G e V / c ) 2 journal, July 2003

Pair Decay Width of the Hoyle State and its Role for Stellar Carbon Production journal, July 2010

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

Tensor Forces and the Ground-State Structure of Nuclei journal, March 2007

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Determination of the Deformation in C 12 from Electron Scattering journal, September 1971

Nuclear binding and deep inelastic scattering journal, October 1997

Euclidean proton response in light nuclei journal, June 1992

Inclusive electron scattering and pion degrees of freedom in light nuclei journal, June 1994

Density dependence of the EMC effect journal, December 1999

Energy levels of light nuclei A = 11−12 journal, January 1990

Determination of the Deformation in C 12 from Electron Scattering journal, October 1971

Structure and dynamics of few-nucleon systems journal, July 1998

Convection Currents and Spin Magnetization in E 2 Transitions of C 12 journal, December 1978

Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data journal, May 1996

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

Electromagnetic structure of A=2 and 3 nuclei and the nuclear current operator journal, July 2005

Neutral Weak Current Two-Body Contributions in Inclusive Scattering from C 12 journal, May 2014

Weak transitions in A = 6 and 7 nuclei journal, April 2002

Maximum entropy analysis of oversampled data problems journal, April 1990

Transverse electric form factors for electron scattering and violation of current conservation in nuclear models journal, May 1995

Quasi-elastic response functions. The Coulomb sum revisited journal, June 1996

Microscopic Calculation of L 6 i Elastic and Transition Form Factors journal, November 1998

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

Electromagnetic form factors of the bound nucleon journal, November 1999

Quantum Monte Carlo calculations of electromagnetic moments and transitions in A ≤ 9 nuclei with meson-exchange currents derived from chiral effective field theory journal, March 2013

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

The Illinois Extension to the Fujita-Miyazawa Three-Nucleon Force conference, January 2008

Quantum Monte Carlo calculations of electromagnetic transitions in Be 8 with meson-exchange currents derived from chiral effective field theory journal, August 2014

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

Deep-inelastic electron scattering from carbon journal, July 1983

Electromagnetic N - Δ transition at high Q 2 journal, November 1986

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Polarization Transfer in H 4 e ( e → , e ′ p → ) H 3 : Is the Ratio G E p / G M p Modified in the Nuclear Medium? journal, February 2005

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

Modification of the Nucleon's Properties in Nuclear Matter journal, February 1981

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Energy levels of light nuclei A = 11–12 journal, August 1975

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Electromagnetic structure of A=2 and 3 nuclei and the nuclear current operator text, January 2005

Tensor Forces and the Ground-State Structure of Nuclei text, January 2006

An accurate nucleon-nucleon potential with charge-independence breaking text, January 1994

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

Neutral current neutrino-nucleus scattering: theory journal, January 2020

Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review journal, March 2017

Muon capture in nuclei: An ab initio approach based on Green's function Monte Carlo methods journal, September 2019

Nuclear effects in electron-nucleus and neutrino-nucleus scattering within a relativistic quantum mechanical framework journal, October 2019

Electroweak pion production on nuclei within the extended factorization scheme journal, October 2019

Variational calculation of the ground state of closed-shell nuclei up to A = 40 journal, August 2017

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

Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions journal, April 2018

Single- and two-nucleon momentum distributions for local chiral interactions journal, July 2018

Computing the dipole polarizability of Ca 48 with increased precision journal, July 2018

First measurement of the Ti ( e , e ′ ) X cross section at Jefferson Lab journal, July 2018

Neutrino-nucleus cross section within the extended factorization scheme journal, February 2019

Mean-field and two-body nuclear effects in inclusive electron scattering on argon, carbon, and titanium: The superscaling approach journal, April 2019

First measurement of the Ar ( e , e ′ ) X cross section at Jefferson Laboratory journal, May 2019

Ab initio Calculations of the Isotopic Dependence of Nuclear Clustering journal, December 2017

Properties of Nuclei up to A = 16 using Local Chiral Interactions journal, March 2018

Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory journal, January 2020

Single- and two-nucleon momentum distributions for local chiral interactions text, January 2018

Mean field and two-body nuclear effects in inclusive electron scattering on argon, carbon and titanium: the superscaling approach text, January 2019

Neutral Current Neutrino-Nucleus Scattering. Theory text, January 2019

Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory text, January 2020

Title: Electromagnetic response of ${}^{12}C$ : A first-principles calculation

The effect of confinement size on nuclear structure functions
journal, September 1983

Polarization Transfer in the ${}^{4}{H e} (\vec{e}, e^{'} \vec{p}) {}^{3}H$ Reaction up to $Q^{2} = 2.6 (G e V / c)^{2}$
journal, July 2003

Pair Decay Width of the Hoyle State and its Role for Stellar Carbon Production
journal, July 2010

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

Tensor Forces and the Ground-State Structure of Nuclei
journal, March 2007

Quark Structure and Nuclear Effective Forces
journal, September 2004

Determination of the Deformation in ${}^{12}C$ from Electron Scattering
journal, September 1971

Nuclear binding and deep inelastic scattering
journal, October 1997

Euclidean proton response in light nuclei
journal, June 1992

Inclusive electron scattering and pion degrees of freedom in light nuclei
journal, June 1994

Density dependence of the EMC effect
journal, December 1999

Energy levels of light nuclei A = 11−12
journal, January 1990

Determination of the Deformation in ${}^{12}C$ from Electron Scattering
journal, October 1971

Structure and dynamics of few-nucleon systems
journal, July 1998

Convection Currents and Spin Magnetization in $E 2$ Transitions of ${}^{12}C$
journal, December 1978

Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data
journal, May 1996

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

Electromagnetic structure of A=2 and 3 nuclei and the nuclear current operator
journal, July 2005

Neutral Weak Current Two-Body Contributions in Inclusive Scattering from ${}^{12}C$
journal, May 2014

Weak transitions in $A = 6$ and 7 nuclei
journal, April 2002

Maximum entropy analysis of oversampled data problems
journal, April 1990

Transverse electric form factors for electron scattering and violation of current conservation in nuclear models
journal, May 1995

Quasi-elastic response functions. The Coulomb sum revisited
journal, June 1996

Microscopic Calculation of ${}^{6}L i$ Elastic and Transition Form Factors
journal, November 1998

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

Electromagnetic form factors of the bound nucleon
journal, November 1999

Quantum Monte Carlo calculations of electromagnetic moments and transitions in $A \leq 9$ nuclei with meson-exchange currents derived from chiral effective field theory
journal, March 2013

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

The Illinois Extension to the Fujita-Miyazawa Three-Nucleon Force
conference, January 2008

Quantum Monte Carlo calculations of electromagnetic transitions in ${}^{8}{Be}$ with meson-exchange currents derived from chiral effective field theory
journal, August 2014

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

Deep-inelastic electron scattering from carbon
journal, July 1983

Electromagnetic N - Δ transition at high $Q^{2}$
journal, November 1986

Quantum Monte Carlo methods for nuclear physics
journal, September 2015

Polarization Transfer in ${}^{4}H e (\vec{e}, e^{'} \vec{p}) {}^{3}H$ : Is the Ratio $G_{E p} / G_{M p}$ Modified in the Nuclear Medium?
journal, February 2005

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

Modification of the Nucleon's Properties in Nuclear Matter
journal, February 1981

Relativistic and Nuclear Medium Effects on the Coulomb Sum Rule
journal, January 2016

Quantum Monte Carlo calculations of six-quark states
journal, June 2000

Energy levels of light nuclei A = 11–12
journal, January 1985

Energy levels of light nuclei A = 11–12
journal, August 1975

Weak Transitions in A=6 and 7 Nuclei
text, January 2002

Electromagnetic structure of A=2 and 3 nuclei and the nuclear current operator
text, January 2005

Tensor Forces and the Ground-State Structure of Nuclei
text, January 2006

An accurate nucleon-nucleon potential with charge-independence breaking
text, January 1994

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

Neutral current neutrino-nucleus scattering: theory
journal, January 2020

Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review
journal, March 2017

Muon capture in nuclei: An ab initio approach based on Green's function Monte Carlo methods
journal, September 2019

Nuclear effects in electron-nucleus and neutrino-nucleus scattering within a relativistic quantum mechanical framework
journal, October 2019

Electroweak pion production on nuclei within the extended factorization scheme
journal, October 2019

Variational calculation of the ground state of closed-shell nuclei up to $A = 40$
journal, August 2017

Quantum Monte Carlo calculation of neutral-current $ν - {}^{12}C$ inclusive quasielastic scattering
journal, February 2018

Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions
journal, April 2018

Single- and two-nucleon momentum distributions for local chiral interactions
journal, July 2018

Computing the dipole polarizability of ${}^{48}{Ca}$ with increased precision
journal, July 2018

First measurement of the $Ti (e, e^{'}) X$ cross section at Jefferson Lab
journal, July 2018

Neutrino-nucleus cross section within the extended factorization scheme
journal, February 2019

Mean-field and two-body nuclear effects in inclusive electron scattering on argon, carbon, and titanium: The superscaling approach
journal, April 2019

First measurement of the $Ar (e, e^{'}) X$ cross section at Jefferson Laboratory
journal, May 2019

Ab initio Calculations of the Isotopic Dependence of Nuclear Clustering
journal, December 2017

Properties of Nuclei up to $A = 16$ using Local Chiral Interactions
journal, March 2018

Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory
journal, January 2020

Single- and two-nucleon momentum distributions for local chiral interactions
text, January 2018

Mean field and two-body nuclear effects in inclusive electron scattering on argon, carbon and titanium: the superscaling approach
text, January 2019

Neutral Current Neutrino-Nucleus Scattering. Theory
text, January 2019

Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
text, January 2020