On the Kinematics of (p, pX) Knockout Reactions in Normal and Inverse Kinematics

• Published in: Progress of Theoretical and Experimental Physics Vol. 2024; no. 8
• Main Author: Uesaka, Tomohiro
• Format: Journal Article
• Language: English
• Published: Oxford Oxford University Press (OUP) 01.08.2024; Oxford University Press
• Subjects: Kinematics
• ISSN: 2050-3911; 2050-3911
• DOI: 10.1093/ptep/ptae013

An overview of the kinematics of (p, pX) knockout reactions is given. Consistent descriptions of the kinematical quantities for normal and inverse kinematics are provided. Starting from the kinematics of p–X elastic scatterings, which are elementary processes of the (p, pX) knockout reactions, the effects of the separation energy of the knocked-out particle SX, its in-nucleus momentum $\vec{k}_{F}$, and a momentum transfer q are investigated. These three quantities are called “knockout feature quantities” in this article. The main conclusions are as follows: SX dependences of the (p, pX) kinematics are mainly through changes in the p–X center-of-momentum energy $\sqrt{s_{pX}}$ for which no difference exists between normal and inverse kinematics. The effects of longitudinal-to-the-beam component of $\vec{k}_{F}$ cause a significant difference between normal and inverse kinematics through changes in βpX and $\sqrt{s_{pX}}$. On the other hand, the transverse to the beam component of $\vec{k}_{F}$ changes energy sharing between the scattered proton and the knocked-out particle in both normal and inverse kinematics.