Three-body Effect in Short-range Correlations

Abstract

Short-range correlations (SRCs) provide the link between low- and high-energy nuclear physics and can be quantified by two-nucleon densities. We present calculations of the two-nucleon densities using free-space similarity renormalization group (SRG)-evolved operators and in-medium SRG (IMSRG) ground states with softend chiral interaction. Our calculations benchmark well against no-core shell model (NCSM) results with unevolved oparetors and Hamiltonians in $^4\mathrm{He}$. We explicitly include the induced three-body (3b) density operators for the first time which, together with the 3b Hamiltonians, provide the full 3b effects. We show pronounced 3b effects in the $^{16}\mathrm{O}$ two-nucleon densities. Combined with valence-space IMSRG (VS-IMSRG) method, we extend the calculation to the oxygen isotopic chain. This approach enables a consistent \textit{ab initio} description of low-energy properties and SRCs within one framework and offers predictions for the upcoming SRC measurements in unstable nuclei.