Radiative Neutron-Proton Capture in Effective Chiral Lagrangians

Abstract

We calculate the cross-section for the thermal $n+p\to d+\gamma$ process in chiral perturbation theory to next-to-next-to-leading order using heavy-fermion formalism. The exchange current correction is found to be $(4.5\pm 0.3)\%$ in amplitude and the chiral perturbation at one-loop order gives the cross section $σ_{th}^{np}=(334\pm 2)\ {\mbox mb}$ which is in agreement with the experimental value $(334.2\pm 0.5)\ {\mbox mb}$. Together with the axial charge transitions, this provides a strong support for the power of chiral Lagrangians for nuclear physics.

9 pages, revtex, uses epsfig.sty, 2 uuencoded figures

References in corpus (3)

• An accurate nucleon-nucleon potential with charge-independence breaking
• On the Foundations of Chiral Perturbation Theory
• Nuclear Matrix Elements of Axial-Charge Exchange Currents Derived in Heavy-Fermion Chiral Perturbation Theory

Cited by in corpus (62)

• Effective Field Theory for Few-Nucleon Systems
• Two-Nucleon Systems from Effective Field Theory
• Nuclear effective field theory: status and perspectives
• Nucleon-Nucleon Scattering from Effective Field Theory
• Nucleon-Nucleon Effective Field Theory Without Pions
• Effective Field Theory of Nuclear Forces
• Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
• The nucleon-nucleon interaction
• Chiral Lagrangian Approach to Exchange Vector Currents in Nuclei
• Kaon Condensation in Dense Stellar Matter
• Precision Calculation of n+p->d+gamma Cross Section for Big-Bang Nucleosynthesis
• Neutrino Reactions on Deuteron
• Radiative neutron capture on a proton at BBN energies
• Neutrino-deuteron reactions at solar neutrino energies
• Pairing in low-density Fermi gases
• Chiral Perturbation Approach to the pp -> pp pi0 Reaction Near Threshold
• Low Energy Theorems For Nucleon-Nucleon Scattering
• Elastic and Inelastic Neutrino-Deuteron Scattering in Effective Field Theory
• QCD Scales in Finite Nuclei
• The Polarizability of the Deuteron
• Effective field theory of the deuteron with dibaryon field
• The Solar Proton Burning Process Revisited In Chiral Perturbation Theory
• An Effective Field Theory Calculation of the Parity Violating Asymmetry in n+p -> d+gamma
• Nuclear Currents in Chiral Effective Field Theory
• The ${\mu }^{-}d$ capture rate in effective field theory
• Chiral Perturbation Theory and the pp -> pp pi0 Reaction Near Threshold
• The Power Of Effective Field Theories In Nuclei: The Deuteron, NN Scattering and Electroweak Processes
• Parity Violation in Effective Field Theory and the Deuteron Anapole Moment
• Dense Nuclear Matter: Landau Fermi-Liquid Theory and Chiral Lagrangian with Scaling
• The Theory of Parity Violation in Few-Nucleon Systems
• Up-to N${}^3$LO heavy-baryon chiral perturbation theory calculation for the M1 properties of three-nucleon systems
• Gamma-Deuteron Compton Scattering in Effective Field Theory
• Testing Low Energy Theorems in Nucleon-Nucleon Scattering
• Muon capture on deuteron and 3He
• Effective Field Theory Approach To \vec{n} + \vec{p} -> d + γAt Threshold
• Asymmetry in $\vec{n}+p->d+\gamma$
• The Long and Short of Nuclear Effective Field Theory Expansions
• Nucleon-Nucleon Interaction and Isospin Violation
• The Solar $Hep$ Process
• The Anapole Form Factor of the Deuteron
• n + p -> d + gamma in Effective Field Theory
• Isoscalar short-range current in the deuteron induced by an intermediate dibaryon
• Effective field theory approach for the M1 properties of A=2 and 3 nuclei
• Scaling Of Chiral Lagrangians And Landau Fermi Liquid Theory For Dense Hadronic Matter
• In-Medium Effective Axial-Vector Coupling Constant
• Renormalization of the 1S0 One-Pion-Exchange NN Interaction in Presence of Derivative Contact Interactions
• Radiative Decays of Decuplet Baryons, $\Lambda (1405)$ and $\Lambda (1520)$ Hyperons
• Nuclear Effective Field Theories: Reverberations of the early days
• NNLO Calculation of Two-Nucleon Scattering in EFT for a Two Yukawa Toy Model
• Chiral Perturbation Theory in Few-Nucleon Systems
• Tensor Polarized Gamma-Deuteron Compton Scattering in Effective Field Theory
• A Higher-Order Calculation of $np$ Scattering in Cut-Off Effective Field Theory
• Heavy-baryon chiral perturbation theory approach to thermal neutron capture on ${}^{3}He$
• Renormalization group analysis of nuclear current operators
• The Non-Quenching of $g_A$ in Nuclei and Emergent Scale Symmetry in Dense Baryonic Matter
• Progress in Nuclear Astrophysics of East and Southeast Asia
• Chiral Electroweak Currents in Nuclei
• Chiral symmetry in nuclei
• A New Topological "Twist" to BR Scaling
• Use of V_{low-k} in a chiral-perturbation-theory description of the $pp\to pp{\pi }^0$ reaction
• The "Folk Theorem" on Effective Field Theory: How Does It Fare in Nuclear Physics?
• An Effective Field Theory at Finite Density