- Physical Review Journals
All JournalsPhysics Magazine

Physical Review C

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Extraction of the Coulomb sum rule, transverse enhancement, and longitudinal quenching from an analysis of all available e−C12 and e−O16 cross section data

A. Bodek1,* and M. E. Christy2

  • 1Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA
  • 2Thomas Jeferson National Accelerator Facility, Newport News, Virginia 23606, USA

  • *bodek@pas.rochester.edu
PDF

Phys. Rev. C 106, L061305 – Published 19 December, 2022

DOI: https://doi.org/10.1103/PhysRevC.106.L061305

Abstract

We report on a phenomenological analysis of all available electron scattering data on C12 (about 6600 differential cross section measurements) and on O16 (about 250 measurements) within the framework of the quasielastic (QE) superscaling model (including Pauli blocking). All QE and inelastic cross section measurements are included down to the lowest momentum transfer q (including photoproduction data). We find that there is enhancement of the transverse QE response function (RTQE) and quenching of the QE longitudinal response function (RLQE) at low q (in addition to Pauli blocking). We extract parametrizations of a multiplicative low q “longitudinal quenching factor” and an additive “transverse enhancement” contribution. Additionally, we find that the excitation of nuclear states contribute significantly (up to 30%) to the Coulomb sum rule SL(q). We extract the most accurate determination of SL(q) to date and find it to be in disagreement with random phase approximation (RPA) based calculations but in reasonable agreement with recent theoretical calculations, such as “first principle Green's function Monte Carlo.”

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (35)

  1. D. Drechsel and M. M. Giannini, Rep. Prog. Phys. 52, 1083 (1989), Eq. 7.9; T. de Forest, Jr. and J. D. Walecka, Adv. Phys. 15, 1 (1966).
  2. A. A. Aguilar-Arevalo et al. (MiniBooNE Collaboration), Phys. Rev. Lett. 100, 032301 (2008).
  3. M. F. Carneiro et al. (MINERvA Collaboration), Phys. Rev. Lett. 124, 121801 (2020).
  4. P. Abratenko et al. (MicroBooNE Collaboration), Phys. Rev. Lett. 123, 131801 (2019).
  5. P. Abratenko et al. (MicroBooNE Collaboration), Phys. Rev. Lett. 125, 201803 (2020).
  6. J. A. Caballero, M. C. Martinez, J. L. Herraiz, and J. M. Udias, Phys. Lett. B 688, 250 (2010).
  7. A. Bodek, S. Avvakumov, R. Bradford, and H. Budd, Eur. Phys. J. C 53, 349 (2008).
  8. D. G. Boulware, L. S. Brown, and R. D. Peccei, Phys. Rev. D 3, 1750 (1971).
  9. P. E. Bosted and V. Mamyan, arXiv:1203.2262; V. Mamyan, Ph.D. dissertation, University of Virginia, 2010 (unpublished).
  10. C. Maieron, T. W. Donnelly, and I. Sick, Phys. Rev. C 65, 025502 (2002).
  11. J. E. Amaro, M. B. Barbaro, J. A. Caballero, T. W. Donnelly, A. Molinari, and I. Sick, Phys. Rev. C 71, 015501 (2005).
  12. J. E. Amaro, M. B. Barbaro, J. A. Caballero, R. Gonzalez-Jimenez, G. D. Megias, and I. Ruiz Simo, J. Phys. G: Nucl. Part. Phys. 47, 124001 (2020).
  13. G. D. Megias Vazquez, Tesis Doctoral, Universidad de Sevilla, 2017 (unpublished).
  14. R. Rosenfelder, Ann. Phys. 128, 188 (1980).
  15. G. D. Megias, M. V. Ivanov, R. Gonzalez-Jimenez, M. B. Barbaro, J. A. Caballero, T. W. Donnelly, and J. M. Udias, Phys. Rev. D 89, 093002 (2014).
  16. A. Bodek, H. Budd, and M. Christy, Eur. Phys. J. C 71, 1726 (2011).
  17. O. Benhar, D. Day, and I. Sick, Rev. Mod. Phys. 80, 189 (2008).
  18. Resonance Data Archive, https://hallcweb.jlab.org/resdata/
  19. P. Gueye, M. Bernheim, J. F. Danel, J. E. Ducret, L. Lakehal-Ayat, J. M. LeGoff, A. Magnon et al., Phys. Rev. C 60, 044308 (1999).
  20. P. E. Bosted, Phys. Rev. C 51, 409 (1995).
  21. A. Bodek and T. Cai, Eur. Phys. J. C 79 293 (2019); 80, 655 (2020).
  22. P. E. Bosted and M. E. Christy, Phys. Rev. C 77, 065206 (2008); M. E. Christy and P. E. Bosted, ibid. 81, 055213 (2010).
  23. P. Barreau et al., Nucl. Phys. A 402, 515 (1983).
  24. D. T. Baran et al., Phys. Rev. Lett. 61, 400 (1988).
  25. J. Jourdan, Nucl. Phys. A 603, 117 (1996); Phys. Lett. B 353, 189 (1995).
  26. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevC.106.L061305 for additional comparisons of the universal fit to some of the measurements of d2σdΩdν on C12 and O16.
  27. A. Lovato, S. Gandolfi, J. Carlson, S. C. Pieper, and R. Schiavilla, Phys. Rev. Lett. 117, 082501 (2016).
  28. B. Mihaila and J. H. Heisenberg, Phys. Rev. Lett. 84, 1403 (2000).
  29. I. C. Cloët, W. Bentz, and A. W. Thomas, Phys. Rev. Lett. 116, 032701 (2016).
  30. J. E. Sobczyk, B. Acharya, S. Bacca, and G. Hagen, Phys. Rev. C 102, 064312 (2020).
  31. A. V. Butkevich and S. V. Luchuk, Phys. Rev. C 102, 024602 (2020).
  32. K. Gallmeister, U. Mosel, and J. Weil, Phys. Rev. C 94, 035502 (2016); S. Dolan, U. Mosel, K. Gallmeister, L. Pickering, and S. Bolognesi, ibid. 98, 045502 (2018).
  33. T. Franco-Munoz, R. Gonzalez-Jimenez, and J. M. Udias, arXiv:2203.09996.
  34. V. Pandey, N. Jachowicz, T. Van Cuyck, J. Ryckebusch, and M. Martini, Phys. Rev. C 92, 024606 (2015),
  35. M. Martini, N. Jachowicz, M. Ericson, V. Pandey, T. Van Cuyck, and N. Van Dessel, Phys. Rev. C 94, 015501 (2016); V. Pandey, N. Jachowicz, M. Martini, R. Gonzalez-Jimenez, J. Ryckebusch, T. Van Cuyck, and N. VanDessel, ibid. 94, 054609 (2016).

Outline

Information

Phys. Rev. C 106, L061305– Published 19 December, 2022
  • Received 1 September 2022
  • Accepted 26 October 2022
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation