Radiative Capture of Cold Neutrons by Protons and Deuteron Photodisintegration with Twisted Beams

Abstract

We consider two basic nuclear reactions: Radiative capture of neutrons by protons, $n+p\to \gamma +d$ and its time-reversed counterpart, photodisintegration of the deuteron, $\gamma +d\to n+p$. In both of these cases we assume that the incoming beam of neutrons or photons is "twisted" by having an azimuthal phase dependence, {\it i.e.}, it carries an additional angular momentum along its direction of propagation. Taking a low-energy limit of these reactions, we derive relations between corresponding transition amplitudes and cross sections with plane-wave beams and twisted beams. Implications for experiments with twisted cold neutrons and photon beams are discussed.

8 pages, 3 figures

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• Colliding particles carrying non-zero orbital angular momentum
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Cited by in corpus (17)

• Promises and challenges of high-energy vortex states collisions
• Semiclassical probability of radiation of twisted photons in the ultrarelativistic limit
• Elastic scattering of twisted neutrons by nuclei
• Recoil Momentum Effects in Quantum Processes Induced by Twisted Photons
• Probability of radiation of twisted photons by axially symmetric bunches of particles
• Generation of hard twisted photons by charged particles in cholesteric liquid crystals
• Probability of radiation of twisted photons in an inhomogeneous isotropic dispersive medium
• Probability of radiation of twisted photons by cold relativistic particle bunches
• Decay of the vortex muon
• Definitive Detection of Orbital Angular Momentum States in Neutrons by Spin-polarized ${}^3$He
• Planar wiggler as a tool for generating hard twisted photons
• $Z_n$ symmetry in the vortex muon decay
• Generation of twisted photons by undulators filled with dispersive medium
• Threshold effects in high-energy vortex state collisions
• Angular momentum effects in neutron decay
• Orbital angular momentum beam generation using a free-electron laser oscillator
• Plasma acceleration of polarized particle beams