Three-body systems in pionless effective field theory

Abstract

Investigations of three-body nuclear systems using pionless effective field theory (${\mathrm{EFT}}_{/\pi }$) are reviewed. The history of ${\mathrm{EFT}}_{/\pi }$ in $nd$ and $pd$ scattering is briefly discussed and emphasis put on the use of strict perturbative techniques. In addition renormalization issues appearing in $pd$ scattering are also presented. Bound state calculations are addressed and new perturbative techniques for describing them are highlighted. Three-body breakup observables in $nd$ scattering are also considered and the utility of ${\mathrm{EFT}}_{/\pi }$ for addressing them.

arXiv comment27 pages, 27 figures

References in corpus (49)

• A New Expansion for Nucleon-Nucleon Interactions
• Two-Nucleon Systems from Effective Field Theory
• Renormalization of the Three-Body System with Short-Range Interactions
• The Three-Boson System with Short-Range Interactions
• Nucleon-Nucleon Effective Field Theory Without Pions
• Effective Theory of the Triton
• Nucleon-Deuteron Scattering from an Effective Field Theory
• Low Energy Expansion in the Three Body System to All Orders and the Triton Channel
• Neutrino-Deuteron Scattering in Effective Field Theory at Next-to-Next-to Leading Order
• Precision Calculation of n+p->d+gamma Cross Section for Big-Bang Nucleosynthesis
• Improving the Convergence of NN Effective Field Theory
• Coulomb Effects in Low Energy Proton-Proton Scattering
• Radiative neutron capture on a proton at BBN energies
• Improved Convergence in the Three-Nucleon System at Very Low Energies
• n+p -> d+gamma for Big-Bang Nucleosynthesis
• Wigner symmetry in the limit of large scattering lengths
• Range Corrections to Doublet S-Wave Neutron-Deuteron Scattering
• Naive Dimensional Analysis for Three-Body Forces Without Pions
• Quartet S Wave Neutron Deuteron Scattering in Effective Field Theory
• Higher Partial Waves in an Effective Field Theory Approach to nd Scattering
• An effective-field-theory analysis of low-energy parity-violation in nucleon-nucleon scattering
• Proton-Proton Fusion in Effective Field Theory
• Fully Perturbative Calculation of $nd$ Scattering to Next-to-next-to-leading-order
• Universal Correlations in Pion-less EFT with the Resonating Group Model: Three and Four Nucleons
• Effective field theory of the deuteron with dibaryon field
• A renormalized equation for the three-body system with short-range interactions
• The Three-Boson System at Next-To-Next-To-Leading Order
• Proton-proton fusion in pionless effective theory
• Low energy proton-proton scattering in effective field theory
• Effective Field Theory Analysis of Three-Boson Systems at Next-To-Next-To-Leading Order
• Effective field theory of 3He
• Quartet S-wave p-d scattering in EFT
• Two parity violating asymmetries from $np\to d\gamma$ in pionless effective field theories
• Parity-violating neutron spin rotation in hydrogen and deuterium
• Low-energy p-d scattering and He-3 in pionless EFT
• ${}^3\mathrm{He}$ and $pd$ Scattering to Next-to-Leading Order in Pionless Effective Field Theory
• Charge form factors of two-neutron halo nuclei in halo EFT
• Universality in the triton charge form factor
• On Parity-Violating Three-Nucleon Interactions and the Predictive Power of Few-Nucleon EFT at Very Low Energies
• Parity-violating polarization in $np\to d\gamma$ with a pionless effective field theory
• Nucleon-Nucleon Interaction and Isospin Violation
• Near Threshold Proton-Proton Fusion in Effective Field Theory
• Renormalisation-group analysis of repulsive three-body systems
• The proton-deuteron system in pionless EFT revisited
• Constraints on a possible dineutron state from pionless EFT
• Parity Violation in nd Interactions
• Energy dependence of the parity-violating asymmetry of circularly polarized photons in $d\vec{\gamma }\to np$ in pionless effective field theory
• Precision calculation of the quartet-channel p-d scattering length
• Total cross section for p-d breakup below 30 MeV

Cited by in corpus (5)

• Effective field theory description of halo nuclei
• Second-order perturbation theory for 3He and pd scattering in pionless EFT
• Do we know how to count powers in pionless and pionful effective field theory?
• Parity-Violating Three Nucleon Interactions at Low Energies and Large-$N_C$
• Effective field theory analysis of boson-trimer bond lengths to next-to-leading order