Cold Dark Matter and Self-interacting Dark Matter Interpretations of the Strong Gravitational Lensing Object JWST-ER1

van Dokkum et al. reported the discovery of JWST-ER1, a strong lensing object at redshift z approximate to 2, using data from the James Webb Space Telescope. The lens mass within the Einstein ring is 5.9 times higher than the expected stellar mass from a Chabrier initial mass function, indicating a high dark matter density. In this work, we show that a cold dark matter halo, influenced by gas-driven adiabatic contraction, can account for the observed lens mass. We interpret the measurement of JWST-ER1 in the self-interacting dark matter scenario and show that the cross section per particle mass sigma/m approximate to 0.1 cm2 g-1 is generally favored. Intriguingly, sigma/m approximate to 0.1 cm2 g-1 can also be consistent with the strong lensing observations of early-type galaxies at redshift z approximate to 0.2, where adiabatic contraction is not observed overall.