Local position-space two-nucleon potentials from leading to fourth order of chiral effective field theory

Saha, Sanjoy K.; Entem, David R.; Machleidt, Ruprecht; Nosyk, Yevgen

doi:10.1103/physrevc.107.034002

Title: Local position-space two-nucleon potentials from leading to fourth order of chiral effective field theory

Journal Article · Wed Mar 29 00:00:00 EDT 2023 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.107.034002· OSTI ID:1962468

Saha, Sanjoy K. ^[1];

^[2];

^[1]; Nosyk, Yevgen ^[1]

Univ. of Idaho, Moscow, ID (United States)
University of Salamanca (Spain)

We present local, position-space chiral NN potentials through four orders of chiral effective field theory ranging from leading order (LO) to next-to-next-to-next-to-leading order (N³ LO, fourth order) of the Δ-less version of the theory. The long-range parts of these potentials are fixed by the very accurate πN LECs as determined in the Roy-Steiner equations analysis. At the highest order (N³ LO), the NN data below 190 MeV laboratory energy are reproduced with the respectable χ²/datum of 1.45. A comparison of the N³ LO potential with the phenomenological Argonne v₁₈ (AV18) potential reveals substantial agreement between the two potentials in the intermediate range ruled by chiral symmetry, thus, providing a chiral underpinning for the phenomenological AV18 potential. Our chiral NN potentials may serve as a solid basis for systematic ab initio calculations of nuclear structure and reactions that allow for a comprehensive error analysis. In particular, the order by order development of the potentials will make possible a reliable determination of the truncation error at each order. Our new family of local position-space potentials differs from existing potentials of this kind by a weaker tensor force as reflected in relatively low D-state probabilities of the deuteron (P_D ≲ 4.0 % for our N³ LO potentials) and predictions for the triton binding energy above 8.00 MeV (from two-body forces alone). As a consequence, our potentials may lead to different predictions when applied to light and intermediate-mass nuclei in ab initio calculations and, potentially, help solve some of the outstanding problems in microscopic nuclear structure.

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Research Organization:: Univ. of Idaho, Moscow, ID (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-03ER41270

OSTI ID:: 1962468

Alternate ID(s):: OSTI ID: 1963989

Journal Information:: Physical Review. C, Vol. 107, Issue 3; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Local nucleon-nucleon potentials
Chiral perturbation theory
Chiral effective field theory
Effective field theory
Few-body systems
Nuclear forces
Ab initio calculations

Title: Local position-space two-nucleon potentials from leading to fourth order of chiral effective field theory

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