Toward a reliable description of $(p,pN)$ reactions in the distorted-wave impulse approximation

Abstract

Background: Proton-induced nucleon knockout $(p,pN)$ reactions have been successfully used to study the single-particle nature of stable nuclei in normal kinematics with the distorted-wave impulse approximation (DWIA) framework. Recently, these reactions have been applied to rare-isotope beams at intermediate energies in inverse kinematics to study the quenching of spectroscopic factors. Purpose: Our goal is to investigate the effects of various corrections and uncertainties within the standard DWIA formalism on the $(p,pN)$ cross sections. The consistency of the extracted reduction factors between DWIA and other methods is also evaluated. Method: We analyze the $(p,2p)$ and $(p,pn)$ reactions data measured at the R${}^3$B/LAND setup at GSI for carbon, nitrogen, and oxygen isotopes in the incident energy range of 300--450 MeV/u. Cross sections and reduction factors are calculated by using the DWIA method. The transverse momentum distribution of the ${}^{12}$C($p$,$2p$)${}^{11}$B reaction is also investigated. Results: We have found that including the nonlocality corrections and the Møller factor affects the cross sections considerably. The proton-neutron asymmetry dependence of reduction factors extracted by the DWIA calculation is very weak and consistent with those given by other reaction methods and \textit{ab initio} structure calculations. Conclusions: The results found in this work provide a detailed investigation of the DWIA method for $(p,pN)$ reactions at intermediate energies. They also suggest that some higher-order effects, which is essential for an accurate cross-section description at large recoil momentum, is missing in the current DWIA and other reaction models.

arXiv comment8 pages, 5 figures

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Cited by in corpus (6)

• Quenching of single-particle strength from direct reactions with stable and rare-isotope beams
• Spectroscopic factors in dripline nuclei
• Benchmarking Faddeev and transfer-to-the-continuum calculations for (p, pN ) reactions
• Single-proton removal reaction in the IQMD+GEMINI model benchmarked by elemental fragmentation cross sections of ${}^{29-33}\mathrm{Si}$ on carbon at $\sim$230~MeV/nucleon
• Manifestation of the divergence between antisymmetrized-molecular-dynamics and container pictures of ${}^9$Be via ${}^9$Be($p,pn$)${}^8$Be knockout reaction
• Systematic analysis of the nuclear absorption effect on the cross section of the knockout reaction