Two-Body Triton Photodisintegration and Wigner-SU(4) Symmetry

Abstract

We calculate the two-body triton photodisintegration cross section as a function of photon energy to next-to-next-to leading order (NNLO) in pionless effective field theory (EFT($\pi /$)) and show good agreement with experiment. In addition we calculate the polarization asymmetry $R_C=-0.441(15)$ in cold neutron-deuteron capture to NNLO in EFT($\pi /$), in agreement with the experimental value of $R_C=-0.42\pm 0.03$ [M. W. Konijnenberg et al. in Phys. Lett. B 205, 215 (1988)]. We also assess the dependence of $R_C$ on different fits of the two-nucleon magnetic currents. Finally, we consider the impact of Wigner-SU(4) symmetry and demonstrate that starting from the Wigner-SU(4) symmetric limit and including perturbative corrections to the breaking of Wigner-SU(4) symmetry does a good job of describing two-body triton photodisintegration.

arXiv comment40 pages, 6 figure; Published version

References in corpus (47)

• A New Expansion for Nucleon-Nucleon Interactions
• Two-Nucleon Systems from Effective Field Theory
• Renormalization of the Three-Body System with Short-Range Interactions
• Nuclear effective field theory: status and perspectives
• The Three-Boson System with Short-Range Interactions
• Nucleon-Nucleon Effective Field Theory Without Pions
• Effective Theory of the Triton
• Effective Field Theory of Nuclear Forces
• Low Energy Expansion in the Three Body System to All Orders and the Triton Channel
• Electromagnetic structure of A=2 and 3 nuclei and the nuclear current operator
• Precision Calculation of n+p->d+gamma Cross Section for Big-Bang Nucleosynthesis
• On the correlation between the binding energies of the triton and the alpha-particle
• Improving the Convergence of NN Effective Field Theory
• Frontiers in Nuclear Astrophysics
• No-core shell model in an effective-field-theory framework
• Improved Convergence in the Three-Nucleon System at Very Low Energies
• Ground-State Properties of ${}^4$He and ${}^{16}$O Extrapolated from Lattice QCD with Pionless EFT
• Higher Partial Waves in an Effective Field Theory Approach to nd Scattering
• Pion-less effective field theory for atomic nuclei and lattice nuclei
• 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
• Isoscalar M1 and E2 Amplitudes in n+p -> d+gamma
• Trinucleon photonuclear reactions with $\Delta$-isobar excitation: Processes below pion-production threshold
• Photodisintegration of Three-Body Nuclei with Realistic 2N and 3N Forces
• Inequalities for Light Nuclei in the Wigner Symmetry Limit
• Effective field theory calculation of nd radiative capture at thermal energies
• Effective Field Theory Analysis of Three-Boson Systems at Next-To-Next-To-Leading Order
• Quartet S-wave p-d scattering in EFT
• 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
• Search for Three-Nucleon Force Effects in Two-Body Photodisintegration of 3He(3H) and in the Time Reversed Proton-Deuteron Radiative Capture Process
• The Triton Charge Radius to Next-to-next-to-leading order in Pionless Effective Field Theory
• Three-nucleon bound states and the Wigner-SU(4) limit
• The proton-deuteron system in pionless EFT revisited
• Charge and Magnetic Properties of Three-Nucleon Systems in Pionless Effective Field Theory
• Energies and radii of light nuclei around unitarity
• Tritium $\beta$-decay in pionless effective field theory
• Electromagnetic characteristics of $A\le 3$ physical and lattice nuclei
• Second-order perturbation theory for 3He and pd scattering in pionless EFT
• Triton Photodisintegration with Effective Field Theory
• Five-body calculation of $s$-wave $n$-${}^4$He scattering at next-to-leading order pionless effective field theory
• Photonuclear Reactions of Three-Nucleon Systems
• Few nucleons scattering in pionless effective field theory
• Trinucleon Photo Reactions with $\Delta$-Isobar Excitation: Radiative Nucleon-Deuteron Capture and Two-Body Photo Disintegration of the Three-Nucleon Bound State
• Precision calculation of the quartet-channel p-d scattering length
• Asymmetric regularization of the ground and excited state of the helium-4 nucleus
• Cold Neutron-Deuteron Capture and Wigner-SU(4) Symmetry

Cited by in corpus (1)

• Role of spin-isospin symmetries in nuclear $\beta$-decays