Can chiral EFT give us satisfaction?

Abstract

We compare nuclear forces derived from chiral effective field theory (EFT) with those obtained from traditional (phenomenological and meson) models. By means of a careful analysis of paralleles and differences, we show that chiral EFT is superior to all earlier approaches in terms of both formal aspects and successful applications in ab initio calculations. However, in spite of the considerable progress made possible by chiral EFT, complete satisfaction cannot be claimed until outstanding problems---the renormalization issue being the most important one---are finally settled.

23 pages, 21 figures; commissioned for the Topical Issue of The European Physical Journal A - Hadrons and Nuclei entitled "The tower of effective (field) theories and the emergence of nuclear phenomena."

References in corpus (22)

• Chiral effective field theory and nuclear forces
• Improved nuclear matter calculations from chiral low-momentum interactions
• Accurate nuclear radii and binding energies from a chiral interaction
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Local three-nucleon interaction from chiral effective field theory
• Evolution of shell structure in neutron-rich calcium isotopes
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV
• Neutron matter from chiral two- and three-nucleon calculations up to N${}^3$LO
• Towards order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory
• Short-range nuclear forces in singlet channels
• Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies
• Chiral EFT based nuclear forces: Achievements and challenges
• Four-nucleon force using the method of unitary transformation
• Deconstructing triplet nucleon-nucleon scattering
• Low-energy neutron-deuteron reactions with N3LO chiral forces
• Functional renormalisation group for two-body scattering

Cited by in corpus (13)

• $D^{(\ast )}N$ interaction and the structure of ${\Sigma }_c(2800)$ and ${\Lambda }_c(2940)$ in chiral effective field theory
• Spectrum of the doubly charmed molecular pentaquarks in chiral effective field theory
• Nuclear energy density functionals grounded in ab initio calculations
• ${\Lambda }_c(2910)$ and ${\Lambda }_c(2940)$ as the conventional baryons dressed with the $D^{\ast }N$ channel
• The relevance of pion-exchange contributions versus contact terms in the chiral effective field theory description of nucleon-nucleon scattering
• Electromagnetic moments of the antimony isotopes ${}^{112-133}$Sb
• Equation of state in neutron stars and supernovae
• Addressing energy density functionals in the language of path-integrals I: Comparative study of diagrammatic techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Octet baryon and heavy meson interactions in chiral effective field theory
• Residual cut-off dependence and power counting: the deuteron as a case study
• Properties of a separable representation of optical potentials
• Addressing energy density functionals in the language of path-integrals II: Comparative study of functional renormalization group techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Mean-field approximation on steroids: exact description of the deuteron