Parity-violating three-nucleon interactions at low energies and large NC

Vanasse, Jared

doi:10.1103/physrevc.99.054001

Parity-violating three-nucleon interactions at low energies and large $N_{C}$

Journal Article · Wed May 08 00:00:00 EDT 2019 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.99.054001· OSTI ID:1609639

Vanasse, Jared ^[1]

Stetson Univ., DeLand, FL (United States); DOE/OSTI

The parity-violating (PV) nucleon-nucleon (NN) interaction in the three-nucleon system is investigated using pionless effective field theory (EFT(π/)). Here, this work shows that a next-to-leading order (NLO) PV three-body force is necessary, in contradiction with a previous claim. Including three-body P- to D-wave transitions, PV three-nucleon observables are calculated to higher energies than previously considered.Using the large-N_C hierarchy of LECs, the sizes of the leading order (LO) in large-N_C LECs are estimated using an experimental bound on a parity violating asymmetry in → pd scattering at E_lab = 15 MeV and a measurement of → pp scattering at E_lab = 13.6 MeV. Comparing the size of the resulting LO(O(N_C)) in large-N_C LECs to the N²LO(O(N^{– 1}_C)) in large-N_C LEC g₄^{(N^–1_C)} shows they are roughly the same size, in contradiction with current large-N_C counting.

View Accepted Manuscript (DOE)

Research Organization:: Duke Univ., Durham, NC (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: FG02-05ER41368

OSTI ID:: 1609639

Alternate ID(s):: OSTI ID: 1511526

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 5 Vol. 99; ISSN PRVCAN; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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