Many-body factorization and position–momentum equivalence of nuclear short-range correlations

Cruz-Torres, R.; Lonardoni, D.; Weiss, R.; Piarulli, M.; Barnea, N.; Higinbotham, D. W.; Piasetzky, E.; Schmidt, A.; Weinstein, L. B.; Wiringa, R. B.; Hen, O.

doi:10.1038/s41567-020-01053-7

Title: Many-body factorization and position–momentum equivalence of nuclear short-range correlations

Journal Article · Mon Nov 09 00:00:00 EST 2020 · Nature Physics

DOI:https://doi.org/10.1038/s41567-020-01053-7· OSTI ID:1763968

Cruz-Torres, R. ^[1];

^[2]; Weiss, R. ^[3]; Piarulli, M. ^[4]; Barnea, N. ^[3];

^[5]; Piasetzky, E. ^[6];

^[1]; Weinstein, L. B. ^[7]; Wiringa, R. B. ^[8];

^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Michigan State Univ., East Lansing, MI (United States). Facility for Rare Isotope Beams; Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
The Hebrew Univ., Jerusalem (Israel). Racah Inst. of Physics
Washington Univ., St. Louis, MO (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Tel Aviv Univ. (Israel)
Old Dominion Univ., Norfolk, VA (United States)
Argonne National Lab. (ANL), Lemont, IL (United States)

While mean-field approximations, such as the nuclear shell model, provide a good description of many bulk nuclear properties, they fail to capture the important effects of nucleon–nucleon correlations such as the short-distance and high-momentum components of the nuclear many-body wave function1. Here, we study these components using the effective pair-based generalized contact formalism2,3 and ab initio quantum Monte Carlo calculations of nuclei from deuteron to 40Ca (refs. 4,5,6). We observe a universal factorization of the many-body nuclear wave function at short distance into a strongly interacting pair and a weakly interacting residual system. The residual system distribution is consistent with that of an uncorrelated system, showing that short-distance correlation effects are predominantly embedded in two-body correlations. Spin- and isospin-dependent ‘nuclear contact terms’ are extracted in both coordinate and momentum space for different realistic nuclear potentials. The contact coefficient ratio between two different nuclei shows very little dependence on the nuclear interaction model. These findings thus allow extending the application of mean-field approximations to short-range correlated pair formation by showing that the relative abundance of short-range pairs in the nucleus is a long-range (that is, mean field) quantity that is insensitive to the short-distance nature of the nuclear force.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); Israel Science Foundation (ISF)

Grant/Contract Number:: AC05-06OR23177; AC02-05CH11231; AC02-06CH11357; FG02-94ER40818; FG02-96ER-40960; SC0013617; 89233218CNA000001

OSTI ID:: 1763968

Alternate ID(s):: OSTI ID: 1774911

Report Number(s):: JLAB-PHY-20-2923; DOE/OR/23177-5127arXiv:1907.03658; TRN: US2206120

Journal Information:: Nature Physics, Vol. 17, Issue 3; ISSN 1745-2473

Publisher:: Nature Publishing Group (NPG)Copyright Statement

Country of Publication:: United States

Language:: English

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