Revised analysis of the strengths of the contact potential at N4LO through nuclear and neutron matter
Abstract
We examine the contact three-nucleon force at N4LO expressed as a density dependent potential. In Ref. [1], the necessary couplings (13, including two that appear in the leading three-nucleon force), were extracted from nd scattering observables. The contact strengths obtained through the three-nucleon continuum, without ?ts to the triton, seem incompatible with the energy of nuclear and neutron matter. We take the opportunity to revisit the role of the cD, cE couplings of the leading three-nucleon force in nuclear matter and nuclei. We close with a discussion about recent ?ttings of three-nucleon scattering observables using a spectroscopic basis for the subleading contact three-nucleon force. Using the errors given for the couplings in the spectroscopic basis, we derive uncertainty bands for the strengths in the operator basis and their contributions to the leading and subleading three-nucleon contact interactions.
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BibTeX
@misc{sammarruca2026revised,
title = {{Revised analysis of the strengths of the contact potential at N4LO through nuclear and neutron matter}},
author = {Francesca Sammarruca and Tomiwa Ajagbonna},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.06610},
eprint = {2608.06610},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.06610},
}
RIS
TY - UNPB
TI - Revised analysis of the strengths of the contact potential at N4LO through nuclear and neutron matter
AU - Francesca Sammarruca
AU - Tomiwa Ajagbonna
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2608.06610
UR - https://arxiv.org/abs/2608.06610
AB - We examine the contact three-nucleon force at N4LO expressed as a density dependent potential. In Ref. [1], the necessary couplings (13, including two that appear in the leading three-nucleon force), were extracted from nd scattering observables. The contact strengths obtained through the three-nucleon continuum, without ?ts to the triton, seem incompatible with the energy of nuclear and neutron matter. We take the opportunity to revisit the role of the cD, cE couplings of the leading three-nucleon force in nuclear matter and nuclei. We close with a discussion about recent ?ttings of three-nucleon scattering observables using a spectroscopic basis for the subleading contact three-nucleon force. Using the errors given for the couplings in the spectroscopic basis, we derive uncertainty bands for the strengths in the operator basis and their contributions to the leading and subleading three-nucleon contact interactions.
ER -