The electroproduction of selected $p$- and $sd$-shell hypernuclei was studied within a many-body approach using realistic interactions between the constituent baryons. The cross sections were computed in the distorted-wave impulse approximation using two elementary amplitudes for the electroproduction of the $\mathrm{\Lambda }$ hyperon. The structure of the hypernuclei was investigated within the framework of the self-consistent $\mathrm{\Lambda }$-nucleon Tamm-Dancoff approach and its extension known as the $\mathrm{\Lambda }$-nucleon equation of motion phonon method. Use was made of the ${\mathrm{NNLO}}_{\mathrm{sat}}$ chiral potential plus the effective Nijmegen-F $YN$ interaction. The method was first implemented on light nuclei for studying the available experimental data and establishing a relation to other approaches. After this proof test, it was adopted for predicting the electroproduction cross section of the hypernuclei ${}_{\mathrm{\Lambda }}{}^{40}\mathrm{K}$ and ${}_{\mathrm{\Lambda }}{}^{48}\mathrm{K}$ in view of the E12-15-008 experiment in preparation at JLab. On the grounds of these predictions, appreciable effects on the spectra are expected to be induced by the $YN$ interaction.

• Received 30 May 2023
• Accepted 14 August 2023

DOI:https://doi.org/10.1103/PhysRevC.108.024615