Antinucleon-nucleon interaction at next-to-next-to-next-to-leading order in chiral effective field theory

Abstract

Results for the antinucleon-nucleon ($\bar{N}N$) interaction obtained at next-to-next-to-next-to-leading order in chiral effective field theory (EFT) are reported. A new local regularization scheme is used for the pion-exchange contributions that has been recently suggested and applied in a pertinent study of the $NN$ force within chiral EFT. Furthermore, an alternative strategy for estimating the uncertainty is utilized that no longer depends on a variation of the cutoffs. The low-energy constants associated with the arising contact terms are fixed by a fit to the phase shifts and inelasticities provided by a phase-shift analysis of $\bar{p}p$ scattering data. An excellent description of the $\bar{N}N$ amplitudes is achieved at the highest order considered. Moreover, because of the quantitative reproduction of partial waves up to $J=3$, there is also a nice agreement on the level of $\bar{p}p$ observables. Specifically, total and integrated elastic and charge-exchange cross sections agree well with the results from the partial-wave analysis up to laboratory energies of $300$ MeV, while differential cross sections and analyzing powers are described quantitatively up to $200$-$250$ MeV. The low-energy structure of the $\bar{N}N$ amplitudes is also considered and compared to data from antiprotonic hydrogen.

33 pages, 15 figures

References in corpus (10)

• Chiral effective field theory and nuclear forces
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Improving the convergence of the chiral expansion for nuclear forces II: low phases and the deuteron
• The electromagnetic form factors of the proton in the timelike region
• Energy-dependent partial-wave analysis of all antiproton-proton scattering data below 925 MeV/c
• Wilsonian renormalization group versus subtractive renormalization in effective field theories for nucleon--nucleon scattering
• On the strong energy dependence of the e^+e^- to ppbar amplitude near threshold
• On the near-threshold $\bar{p}p$ invariant mass spectrum measured in $J/\psi$ and ${\psi }^{\prime }$ decays
• Interaction of real and virtual $p\bar{p}$ pairs in $J/\psi \to p\bar{p}\gamma (\rho ,\omega )$ decays

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