Chiral EFT predictions at N2LO for the tritium Gamow-Teller matrix element, with parameters fixed from scattering, overestimate the empirical value and indicate large higher-order corrections.
Three-Nucleon Forces from Chiral Effective Field Theory
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abstract
We perform the first complete analysis of nd scattering at next-to-next-to-leading order in chiral effective field theory including the corresponding three-nucleon force and extending our previous work, where only the two-nucleon interaction has been taken into account. The three-nucleon force appears first at this order in the chiral expansion and depends on two unknown parameters. These two parameters are determined from the triton binding energy and the nd doublet scattering length. We find an improved description of various scattering observables in relation to the next-to-leading order results especially at moderate energies (E_lab = 65 MeV). It is demonstrated that the long-standing A_y-problem in nd elastic scattering is still not solved by the leading 3NF, although some visible improvement is observed. We discuss possibilities of solving this puzzle. The predicted binding energy for the alpha-particle agrees with the empirical value.
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nucl-th 3representative citing papers
Ab initio QMC calculations yield δ_C ≈ 0.15–0.25% for ¹⁰C superallowed beta decay, consistent across phenomenological and chiral interactions within 34–65% relative uncertainties.
After removing renormalization-scheme-dependent short-distance parts, the scrutinized three-nucleon forces yield small contributions to neutron and symmetric nuclear matter equations of state, aligning with standard chiral EFT expectations.
citing papers explorer
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Challenging chiral EFT with tritium beta decay
Chiral EFT predictions at N2LO for the tritium Gamow-Teller matrix element, with parameters fixed from scattering, overestimate the empirical value and indicate large higher-order corrections.
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Quantum Monte Carlo calculation of $\delta_C$ in the superallowed beta decay of $^{10}$C
Ab initio QMC calculations yield δ_C ≈ 0.15–0.25% for ¹⁰C superallowed beta decay, consistent across phenomenological and chiral interactions within 34–65% relative uncertainties.
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Scrutiny of the new class of three-nucleon forces
After removing renormalization-scheme-dependent short-distance parts, the scrutinized three-nucleon forces yield small contributions to neutron and symmetric nuclear matter equations of state, aligning with standard chiral EFT expectations.