Abstract
Abstract We extend high-momentum antisymmetrized molecular dynamics (HMAMD) by incorporating the short-range part of the unitary correlation operator method (UCOM) as the variational method of finite nuclei. In this HMAMD+UCOM calculation of light nuclei, HMAMD is mainly in charge of the tensor correlation with up to four-body correlation, while the short-range correlation is further improved by using UCOM. The binding energies of the $^3$H and $^4$He nuclei are calculated with HMAMD+UCOM using the AV8$'$ bare nucleon–nucleon ($NN$) interaction. The different roles of the short-range and tensor correlations from HMAMD and UCOM are analyzed in the numerical results. Compared with previous calculations based on different variational methods, this newly extended HMAMD+UCOM method can almost provide consistent results with ab initio results.
Highlights
In the recent decade, the existence of the strong short-range repulsion and tensor interaction in the bare nucleon-nucleon (NN) interaction is confirmed to provide strong short-range and tensor correlations by the ab initio studies of many-body physics in nuclei [1–3]
We extend the high-momentum antisymmetrized molecular dynamics (HMAMD) by incorporating the short-range part of the unitary correlation operator method (UCOM) as the variational method of finite nuclei
In this HMAMD+UCOM calculation of light nuclei, the HMAMD is mainly in charge of the tensor correlation with up to the four-body correlation, while the short-range correlation is further improved by using the UCOM
Summary
The existence of the strong short-range repulsion and tensor interaction in the bare nucleon-nucleon (NN) interaction is confirmed to provide strong short-range and tensor correlations by the ab initio studies of many-body physics in nuclei [1–3]. The description of the NN correlations including high-momentum component becomes more and more essential for a developed framework to perform the ab initio calculation with the bare NN interaction. In TOAMD, the correlation functions are introduced for the short-range correlation and tensor correlation and their functional forms are determined to minimize the total energy of the nucleus In both methods, the high-momentum motion of nucleons in nuclei are explicitly treated. It is found that the short-range correlation and the tensor correlation are well described within a rather simple form of high-momentum NN pair excitation Another unique treatment for the correlations between nucleons is the unitary transformation of the uncorrelated state to the correlated many-body states as done by the unitary correlation operator method (UCOM) [9, 20, 21].
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