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Benchmark study of the relativistic plane wave impulse approximation for polarized (p⃗,2p⃗) reactions on the 3s1/2 state in Pb208 at 392MeV

T. Mello*, G. C. Hillhouse, and J. P. W. Diener

  • *Contact author: mt17000947@biust.ac.bw

Phys. Rev. C 113, 064609 – Published 15 June, 2026

DOI: https://doi.org/10.1103/cmyg-pfsw

Abstract

The relativistic plane wave impulse approximation (RPWIA) is benchmarked against the established relativistic distorted wave impulse approximation (RDWIA) for exclusive proton-induced proton knockout reactions (p⃗,2p⃗) from the 3s1/2 state in Pb208 at 392MeV. While the RDWIA provides a proper description of the reaction, the RPWIA—which neglects nuclear distortion and absorption effects—fails dramatically for absolute cross sections, requiring a scaling factor of 1/26 to match the data. However, within ±10MeV of the recoilless condition, the RPWIA quantitatively describes the analyzing power (Ay) data and yields similar results as the RDWIA predictions for all polarization transfer observables (Di′j). These polarization transfer observables are insensitive to the choice of the Relativistic Mean Field model used. The study establishes clear boundaries for the RPWIA's utility: Computationally simple predictions for polarization observables near zero recoil, but essential reliance on the RDWIA for spectroscopic factor extraction.

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References (23)

  1. N. S. Chant and P. G. Roos, Spin orbit effects in quasifree knockout reactions, Phys. Rev. C 27, 1060 (1983).
  2. G. C. Hillhouse, J. Mano, A. A. Cowley, and R. Neveling, Relativistic predictions of exclusive Pb208(p⃗,2p)207Tl analyzing powers at an incident energy of 202MeV, Phys. Rev. C 67, 064604 (2003).
  3. T. Noro, Experimental study of (p, 2p) reactions at 392MeV on C12, O16, Ca40 and Pb208 nuclei leading to low-lying states of residual nuclei, Prog. Theor. Exp. Phys 2020, 093D02 (2020).
  4. R. Neveling, A. A. Cowley, G. F. Steyn, S. V. Förtsch, G. C. Hillhouse, J. Mano, and S. M. Wyngaardt, Analyzing power and cross section distributions of the knockout reaction Pb208(p⃗,2p)207Tl at an incident energy of 202MeV, Phys. Rev. C 66, 034602 (2002).
  5. E. D. Cooper, S. Hama, B. C. Clark, and R. L. Mercer, Global dirac phenomenology for proton-nucleus elastic scattering, Phys. Rev. C 47, 297 (1993).
  6. G. C. Hillhouse, J. Mano, S. M. Wyngaardt, B. I. S. van der Ventel, T. Noro, and K. Hatanaka, Relativistic predictions of spin observables for exclusive proton knockout reactions, Phys. Rev. C 68, 034608 (2003).
  7. C. J. Horowitz, D. P. Murdock, and B. D. Serot, The relativistic impulse approximation, in Computational Nuclear Physics 1: Nuclear Structure, edited by K. Langanke, J. A. Maruhn, and S. E. Koonin (Springer, Berlin, 1991), p. 129.
  8. B. V. Overmeire, A relativistic eikonal description of nucleon propagation through nuclei, Ph.D. thesis, Universiteit Gent, 2007.
  9. T. Wakasa, K. Ogata, and T. Noro, Proton-induced knockout reactions with polarized and unpolarized beams, Prog. Part. Nucl. Phys. 96, 32 (2017).
  10. G. C. Hillhouse and T. Noro, Influence of relativistic dynamics and density-dependent corrections on the induced polarization and analyzing power for exclusive 1s1/2 proton knockout in C12, Phys. Rev. C 74, 064608 (2006).
  11. A. Cowley, G. Arendse, J. Stander, and W. Richter, Distortion in proton-knockout reactions, Phys. Lett. B 359, 300 (1995).
  12. T. Mello, Relativistic plane wave predictions of (p⃗,2p⃗) polarization transfer observables on spherical nuclei, Master's thesis, Botswana International University of Science and Technology (BIUST), 2025.
  13. B. I. S. van der Ventel and G. C. Hillhouse, Sensitivity of exclusive proton knockout spin observables to different Lorentz invariant representations of the NN interaction, Phys. Rev. C 69, 024618 (2004).
  14. G. C. Hillhouse, T. Ishida, T. Noro, and B. van Der Ventel, in 11th International Conference on Nuclear Reaction Mechanisms (Varenna, Italy, 2006), p. 23.
  15. S. Wyngaardt, Relativistic plane wave description of spin transfer observables for proton knock-out reactions, Ph.D. thesis, Stellenbosch University, 2001.
  16. B. D. Serot and J. D. Walecka, Relativistic Nuclear Many-Body Theory, in Recent Progress in Many-Body Theories, edited by T. L. Ainsworth, C. E. Campbell, B. E. Clements, and E. Krotscheck (Springer, Boston, MA, 1992), p. 49.
  17. G. A. Lalazissis, J. König, and P. Ring, New parametrization for the Lagrangian density of relativistic mean field theory, Phys. Rev. C 55, 540 (1997).
  18. B. G. Todd-Rutel and J. Piekarewicz, Neutron-rich nuclei and neutron stars: A new accurately calibrated interaction for the study of neutron-rich matter, Phys. Rev. Lett. 95, 122501 (2005).
  19. W. C. Chen and J. Piekarewicz, Building relativistic mean field models for finite nuclei and neutron stars, Phys. Rev. C 90, 044305 (2014).
  20. C. J. Horowitz, Relativistic Love-Franey model: Covariant representation of the NN interaction for N-nucleus scattering, Phys. Rev. C 31, 1340 (1985).
  21. C. J. Horowitz and D. P. Murdock, Quasielastic proton-nucleus scattering in a relativistic plane-wave impulse approximation, Phys. Rev. C 37, 2032 (1988).
  22. See Supplemental Material at http://link.aps.org/supplemental/10.1103/cmyg-pfsw for the data of the experiments.
  23. G. Kramer, H. Blok, and L. Lapikás, A consistent analysis of (e,e'p) and (d,H3) experiments, Nucl. Phys. A 679, 267 (2001).

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