The long and winding road from chiral effective Lagrangians to nuclear structure

Abstract

I review the chiral dynamics of nuclear physics. In the first part, I discuss the new developments in the construction of the forces between two, three and four nucleons which have been partly carried out to fifth order in the chiral expansion. It is also shown that based on these forces in conjunction with the estimation of the corresponding theoretical uncertainties, the need for three-nucleon forces in few nucleon systems can be unambiguously established. I also introduce the lattice formulation of these forces, which allow for truly ab initio calculations of nuclear structure and reactions. I present some pertinent results of the nuclear lattice approach. Finally, I discuss how few-nucleon systems and nuclei can be used to explore symmetries and physics within and beyond the Standard Model.

commissioned article for a Special Physica Scripta Edition commemorating the 40-year Anniversary of the Nobel Prize for A. Bohr, B. Mottelson and L. Rainwater

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• P- and T-Violating Lagrangians in Chiral Effective Field Theory and Nuclear Electric Dipole Moments
• Topological deformation of isolated horizons
• Quark mass variation constraints from Big Bang nucleosynthesis
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• Pionic deuterium
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• Hadronic shift in pionic hydrogen
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• Partners of Z(4430) and Productions in B Decays
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• Single-Inclusive Production of Hadrons and Jets in Lepton-Nucleon Scattering at NLO
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• Breaking and restoration of rotational symmetry on the lattice for bound state multiplets
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• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory
• Hidden-charm and hidden-bottom molecular pentaquarks in chiral perturbation theory
• Chiral EFT based nuclear forces: Achievements and challenges
• From bound states to the continuum
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• $D{D}^{\ast }$ potentials in chiral perturbation theory and possible molecular states
• Neutrinoless double beta decay in effective field theory: the light Majorana neutrino exchange mechanism
• Lattice QCD and Neutrino-Nucleus Scattering
• The Degree of Fine-Tuning in our Universe -- and Others
• Decoding the nature of $Z_{cs}(3985)$ and establishing the spectrum of charged heavy quarkoniumlike states in chiral effective field theory
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• How to understand the $X(2900)$?
• $D^{(\ast )}N$ interaction and the structure of ${\Sigma }_c(2800)$ and ${\Lambda }_c(2940)$ in chiral effective field theory
• Strangeness and $\Delta$ resonance in compact stars with relativistic-mean-field models
• Elastic $\alpha$-${}^{12}$C scattering at low energies in cluster effective field theory
• Spectrum of the doubly charmed molecular pentaquarks in chiral effective field theory
• Energy-density functionals inspired by effective-field theories: Applications to neutron drops
• Elastic $\alpha$-${}^{12}$C scattering at low energies with the bound states of ${}^{16}$O in effective field theory
• From bare interactions, low--energy constants and unitary gas to nuclear density functionals without free parameters: application to neutron matter
• Deciphering the charged heavy quarkoniumlike states in chiral effective field theory
• ${\Lambda }_c(2910)$ and ${\Lambda }_c(2940)$ as the conventional baryons dressed with the $D^{\ast }N$ channel
• The $S_{E1}$ factor of radiative $\alpha$ capture on ${}^{12}$C in cluster effective field theory
• Sensitivity of Carbon and Oxygen Yields to the Triple-Alpha Resonance in Massive Stars
• Cluster effective field theory and nuclear reactions
• Lee-Yang-inspired energy-density functional including contributions from $p$-wave scattering
• From the liquid drop model to lattice QCD
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• Effects of Bound Diprotons and Enhanced Nuclear Reaction Rates on Stellar Evolution
• Elastic $\alpha$-${}^{12}$C scattering at low energies with the sharp resonant $0_3^{+}$ state of ${}^{16}$O
• Octet baryon and heavy meson interactions in chiral effective field theory
• The "Folk Theorem" on Effective Field Theory: How Does It Fare in Nuclear Physics?
• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$