Two-pion exchange as a leading-order contribution in chiral effective field theory

Mishra, Chinmay; Ekström, A.; Hagen, Gaute; Papenbrock, Thomas F.; Platter, Lucas J.

doi:10.1103/physrevc.106.024004

Two-pion exchange as a leading-order contribution in chiral effective field theory

Journal Article · Thu Aug 25 00:00:00 EDT 2022 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.106.024004· OSTI ID:1883943

^[1]; Ekström, A. ^[2]; ^[3]; ^[4]; ^[5]

Univ. of Tennessee, Knoxville, TN (United States)
Chalmers Univ. of Technology, Goteborg (Germany)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Technische Univ. Darmstadt (Germany)

Pion exchange is the central ingredient to nucleon-nucleon interactions used in nuclear structure calculations, and one-pion exchange (OPE) enters at leading order in chiral effective field theory. In the ^2S+1L_J = ¹S₀ partial wave, however, OPE and a contact term needed for proper renormalization fail to produce the qualitative, and quantitative, features of the scattering phase shifts. Cutoff variation also revealed a surprisingly low breakdown momentum Λ_b ≈ 330 MeV in this partial wave. Here we show that potentials consisting of OPE, two-pion exchange (TPE), and a single contact address these problems and yield accurate and renormalization group (RG) invariant phase shifts in the ¹S₀ partial wave. Here, we demonstrate that a leading-order potential with TPE can be systematically improved by adding a contact quadratic in momenta. For momentum cutoffs Λ ≲ 500 MeV, the removal of relevant physics from TPE loops needs to be compensated by additional contacts to keep RG invariance. Inclusion of the Δ isobar degree of freedom in the potential does not change the strong contributions of TPE.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: National Science Foundation (NSF); Swedish Research Council; USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-00OR22725; FG02-96ER40963; SC0018223

OSTI ID:: 1883943

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 2 Vol. 106; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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