Electromagnetic response of ${}^{12}\mathrm{C}$ : A firstprinciples calculation
Abstract
The longitudinal and transverse electromagnetic response functions of ^{12}C are computed in a “firstprinciples” Green’s function Monte Carlo calculation, based on realistic two and threenucleon interactions and associated one and twobody 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 lowlying J^{π} = 2^{+}, 0$$+\atop{2}$$ (Hoyle), and 4^{+} states in ^{12}C are accounted for explicitly in evaluating the total inelastic strength.
 Authors:

 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:
 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):
 JLABTHY162241; DOE/OR/231773787; arXiv:1605.00248; LAUR1622606
Journal ID: ISSN 00319007; PRLTAO
 Grant/Contract Number:
 AC0206CH11357; AC5206NA25396; AC0506OR23177; AC0205CH11231
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review Letters
 Additional Journal Information:
 Journal Volume: 117; Journal Issue: 8; Journal ID: ISSN 00319007
 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 firstprinciples calculation. United States: N. p., 2016.
Web. https://doi.org/10.1103/PhysRevLett.117.082501.
Lovato, A., Gandolfi, S., Carlson, J., Pieper, Steven C., & Schiavilla, R.. Electromagnetic response of C12 : A firstprinciples calculation. United States. https://doi.org/10.1103/PhysRevLett.117.082501
Lovato, A., Gandolfi, S., Carlson, J., Pieper, Steven C., and Schiavilla, R.. Mon .
"Electromagnetic response of C12 : A firstprinciples calculation". United States. https://doi.org/10.1103/PhysRevLett.117.082501. https://www.osti.gov/servlets/purl/1295613.
@article{osti_1295613,
title = {Electromagnetic response of C12 : A firstprinciples 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 “firstprinciples” Green’s function Monte Carlo calculation, based on realistic two and threenucleon interactions and associated one and twobody 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 lowlying 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}
}
Web of Science
Works referenced in this record:
The effect of confinement size on nuclear structure functions
journal, September 1983
 Close, F. E.; Roberts, R. G.; Ross, G. G.
 Physics Letters B, Vol. 129, Issue 5
Polarization Transfer in the ${}^{4}\mathrm{H}\mathrm{e}(\overrightarrow{e},{e}^{\prime}\overrightarrow{p}){}^{3}\mathrm{H}$ Reaction up to ${Q}^{2}=2.6\text{\hspace{0.28em}}(\mathrm{G}\mathrm{e}\mathrm{V}/c{)}^{2}$
journal, July 2003
 Strauch, S.; Dieterich, S.; Aniol, K. A.
 Physical Review Letters, Vol. 91, Issue 5
Pair Decay Width of the Hoyle State and its Role for Stellar Carbon Production
journal, July 2010
 Chernykh, M.; Feldmeier, H.; Neff, T.
 Physical Review Letters, Vol. 105, Issue 2
Accurate nucleonnucleon potential with chargeindependence breaking
journal, January 1995
 Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R.
 Physical Review C, Vol. 51, Issue 1
Tensor Forces and the GroundState Structure of Nuclei
journal, March 2007
 Schiavilla, R.; Wiringa, R. B.; Pieper, Steven C.
 Physical Review Letters, Vol. 98, Issue 13
Quark Structure and Nuclear Effective Forces
journal, September 2004
 Guichon, P. A. M.; Thomas, A. W.
 Physical Review Letters, Vol. 93, Issue 13
Determination of the Deformation in ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ from Electron Scattering
journal, September 1971
 Nakada, A.; Torizuka, Y.; Horikawa, Y.
 Physical Review Letters, Vol. 27, Issue 11
Nuclear binding and deep inelastic scattering
journal, October 1997
 Benhar, O.; Pandharipande, V. R.; Sick, I.
 Physics Letters B, Vol. 410, Issue 24
Euclidean proton response in light nuclei
journal, June 1992
 Carlson, J.; Schiavilla, R.
 Physical Review Letters, Vol. 68, Issue 25
Inclusive electron scattering and pion degrees of freedom in light nuclei
journal, June 1994
 Carlson, J.; Schiavilla, R.
 Physical Review C, Vol. 49, Issue 6
Density dependence of the EMC effect
journal, December 1999
 Benhar, O.; Pandharipande, V. R.; Sick, I.
 Physics Letters B, Vol. 469, Issue 14
Energy levels of light nuclei A = 11−12
journal, January 1990
 AjzenbergSelove, F.
 Nuclear Physics A, Vol. 506, Issue 1
Determination of the Deformation in ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ from Electron Scattering
journal, October 1971
 Nakada, A.; Torizuka, Y.; Horikawa, Y.
 Physical Review Letters, Vol. 27, Issue 16
Structure and dynamics of fewnucleon systems
journal, July 1998
 Carlson, J.; Schiavilla, R.
 Reviews of Modern Physics, Vol. 70, Issue 3
Convection Currents and Spin Magnetization in $E2\mathrm{}$ Transitions of ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$
journal, December 1978
 Flanz, J. B.; Hicks, R. S.; Lindgren, R. A.
 Physical Review Letters, Vol. 41, Issue 24
Bayesian inference and the analytic continuation of imaginarytime quantum Monte Carlo data
journal, May 1996
 Jarrell, Mark; Gubernatis, J. E.
 Physics Reports, Vol. 269, Issue 3
Green’s function Monte Carlo study of light nuclei
journal, November 1987
 Carlson, J.
 Physical Review C, Vol. 36, Issue 5
Electromagnetic structure of A=2 and 3 nuclei and the nuclear current operator
journal, July 2005
 Marcucci, L.; Viviani, M.; Schiavilla, R.
 Physical Review C, Vol. 72, Issue 1
Neutral Weak Current TwoBody Contributions in Inclusive Scattering from ${}^{12}\mathrm{C}$
journal, May 2014
 Lovato, A.; Gandolfi, S.; Carlson, J.
 Physical Review Letters, Vol. 112, Issue 18
Weak transitions in $A=6\mathrm{}$ and 7 nuclei
journal, April 2002
 Schiavilla, R.; Wiringa, R. B.
 Physical Review C, Vol. 65, Issue 5
Maximum entropy analysis of oversampled data problems
journal, April 1990
 Bryan, R. K.
 European Biophysics Journal, Vol. 18, Issue 3
Transverse electric form factors for electron scattering and violation of current conservation in nuclear models
journal, May 1995
 Karataglidis, S.; Halse, P.; Amos, K.
 Physical Review C, Vol. 51, Issue 5
Quasielastic response functions. The Coulomb sum revisited
journal, June 1996
 Jourdan, J.
 Nuclear Physics A, Vol. 603, Issue 2
Microscopic Calculation of ${}_{}{}^{6}{}_{}{}^{}Li$ Elastic and Transition Form Factors
journal, November 1998
 Wiringa, R. B.; Schiavilla, R.
 Physical Review Letters, Vol. 81, Issue 20
Charge Form Factor and Sum Rules of Electromagnetic Response Functions in ${}^{12}\mathbf{C}$
journal, August 2013
 Lovato, A.; Gandolfi, S.; Butler, Ralph
 Physical Review Letters, Vol. 111, Issue 9
Electromagnetic form factors of the bound nucleon
journal, November 1999
 Lu, D. H.; Tsushima, K.; Thomas, A. W.
 Physical Review C, Vol. 60, Issue 6
Quantum Monte Carlo calculations of electromagnetic moments and transitions in $A\le 9$ nuclei with mesonexchange currents derived from chiral effective field theory
journal, March 2013
 Pastore, S.; Pieper, Steven C.; Schiavilla, R.
 Physical Review C, Vol. 87, Issue 3
Longitudinal and transverse quasielastic response functions of light nuclei
journal, January 2002
 Carlson, J.; Jourdan, J.; Schiavilla, R.
 Physical Review C, Vol. 65, Issue 2
The Illinois Extension to the FujitaMiyazawa ThreeNucleon Force
conference, January 2008
 Pieper, Steven C.; Sakai, Hideyuki; Sekiguchi, Kimiko
 POLARIZED ANTIPROTON BEAMS  HOW: An International Workshop, AIP Conference Proceedings
Quantum Monte Carlo calculations of electromagnetic transitions in ${}^{8}\mathrm{Be}$ with mesonexchange currents derived from chiral effective field theory
journal, August 2014
 Pastore, S.; Wiringa, R. B.; Pieper, Steven C.
 Physical Review C, Vol. 90, Issue 2
Electromagnetic and neutralweak response functions of ${}^{4}\mathrm{He}$ and ${}^{12}\mathrm{C}$
journal, June 2015
 Lovato, A.; Gandolfi, S.; Carlson, J.
 Physical Review C, Vol. 91, Issue 6
Deepinelastic electron scattering from carbon
journal, July 1983
 Barreau, P.; Bernheim, M.; Duclos, J.
 Nuclear Physics A, Vol. 402, Issue 3
Electromagnetic N  Δ transition at high ${Q}^{2}$
journal, November 1986
 Carlson, Carl E.
 Physical Review D, Vol. 34, Issue 9
Quantum Monte Carlo methods for nuclear physics
journal, September 2015
 Carlson, J.; Gandolfi, S.; Pederiva, F.
 Reviews of Modern Physics, Vol. 87, Issue 3
Polarization Transfer in ${}^{4}\mathrm{H}\mathrm{e}(\overrightarrow{e},{e}^{\prime}\overrightarrow{p}){}^{3}\mathrm{H}$ : Is the Ratio ${G}_{Ep}/{G}_{Mp}$ Modified in the Nuclear Medium?
journal, February 2005
 Schiavilla, R.; Benhar, O.; Kievsky, A.
 Physical Review Letters, Vol. 94, Issue 7
Nucleon and nucleonpair momentum distributions in $A\le 12$ nuclei
journal, February 2014
 Wiringa, R. B.; Schiavilla, R.; Pieper, Steven C.
 Physical Review C, Vol. 89, Issue 2
Modification of the Nucleon's Properties in Nuclear Matter
journal, February 1981
 Noble, J. V.
 Physical Review Letters, Vol. 46, Issue 6
Relativistic and Nuclear Medium Effects on the Coulomb Sum Rule
journal, January 2016
 Cloët, Ian C.; Bentz, Wolfgang; Thomas, Anthony W.
 Physical Review Letters, Vol. 116, Issue 3
Quantum Monte Carlo calculations of sixquark states
journal, June 2000
 Paris, Mark W.; Pandharipande, Vijay R.
 Physical Review C, Vol. 62, Issue 1
Works referencing / citing this record:
Neutrino–nucleus cross sections for oscillation experiments
journal, December 2017
 Katori, Teppei; Martini, Marco
 Journal of Physics G: Nuclear and Particle Physics, Vol. 45, Issue 1
Neutral current neutrinonucleus scattering: theory
journal, January 2020
 Giusti, Carlotta; Ivanov, Martin V.
 Journal of Physics G: Nuclear and Particle Physics, Vol. 47, Issue 2
Status and future of nuclear matrix elements for neutrinoless doublebeta decay: a review
journal, March 2017
 Engel, Jonathan; Menéndez, Javier
 Reports on Progress in Physics, Vol. 80, Issue 4
Muon capture in nuclei: An ab initio approach based on Green's function Monte Carlo methods
journal, September 2019
 Lovato, A.; Rocco, N.; Schiavilla, R.
 Physical Review C, Vol. 100, Issue 3
Nuclear effects in electronnucleus and neutrinonucleus scattering within a relativistic quantum mechanical framework
journal, October 2019
 GonzálezJiménez, R.; Nikolakopoulos, A.; Jachowicz, N.
 Physical Review C, Vol. 100, Issue 4
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
Variational calculation of the ground state of closedshell nuclei up to $A=40$
journal, August 2017
 Lonardoni, D.; Lovato, A.; Pieper, Steven C.
 Physical Review C, Vol. 96, Issue 2
Quantum Monte Carlo calculation of neutralcurrent $\nu {}^{12}\mathrm{C}$ inclusive quasielastic scattering
journal, February 2018
 Lovato, A.; Gandolfi, S.; Carlson, J.
 Physical Review C, Vol. 97, Issue 2
Auxiliary field diffusion Monte Carlo calculations of light and mediummass nuclei with local chiral interactions
journal, April 2018
 Lonardoni, D.; Gandolfi, S.; Lynn, J. E.
 Physical Review C, Vol. 97, Issue 4
Single and twonucleon momentum distributions for local chiral interactions
journal, July 2018
 Lonardoni, D.; Gandolfi, S.; Wang, X. B.
 Physical Review C, Vol. 98, Issue 1
Computing the dipole polarizability of ${}^{48}\mathrm{Ca}$ with increased precision
journal, July 2018
 Miorelli, M.; Bacca, S.; Hagen, G.
 Physical Review C, Vol. 98, Issue 1
First measurement of the $\mathrm{Ti}(e,{e}^{\prime})X$ cross section at Jefferson Lab
journal, July 2018
 Dai, H.; Murphy, M.; Pandey, V.
 Physical Review C, Vol. 98, Issue 1
Neutrinonucleus cross section within the extended factorization scheme
journal, February 2019
 Rocco, Noemi; Barbieri, Carlo; Benhar, Omar
 Physical Review C, Vol. 99, Issue 2
Meanfield and twobody nuclear effects in inclusive electron scattering on argon, carbon, and titanium: The superscaling approach
journal, April 2019
 Barbaro, M. B.; Caballero, J. A.; De Pace, A.
 Physical Review C, Vol. 99, Issue 4
First measurement of the $\mathrm{Ar}(e,{e}^{\prime})X$ cross section at Jefferson Laboratory
journal, May 2019
 Dai, H.; Murphy, M.; Pandey, V.
 Physical Review C, Vol. 99, Issue 5
Ab initio Calculations of the Isotopic Dependence of Nuclear Clustering
journal, December 2017
 Elhatisari, Serdar; Epelbaum, Evgeny; Krebs, Hermann
 Physical Review Letters, Vol. 119, Issue 22
Properties of Nuclei up to $A=16$ using Local Chiral Interactions
journal, March 2018
 Lonardoni, D.; Carlson, J.; Gandolfi, S.
 Physical Review Letters, Vol. 120, Issue 12
Local NucleonNucleon and ThreeNucleon Interactions Within Chiral Effective Field Theory
journal, January 2020
 Piarulli, Maria; Tews, Ingo
 Frontiers in Physics, Vol. 7