Variational Monte Carlo calculations of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">H</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>2</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math>(d,γ<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mo>)</mo></mrow><mrow><mn>4</mn></mrow></msup></mrow></math>He reaction at low energies

A. Arriaga; V. R. Pandharipande; R. Schiavilla

doi:10.1103/PhysRevC.43.983

Variational Monte Carlo calculations of the ${}^{2}H$ (d,γ $)^{4}$ He reaction at low energies

A. Arriaga, V. R. Pandharipande, and R. Schiavilla

Phys. Rev. C 43, 983 – Published 1 March 1991

Abstract

The ${}^{2}H$ (d,γ $)^{4}$ He reaction is studied at center-of-mass energies below 500 keV, where it is dominated by the E2 transition from the ${}^{5}$ $S_{2}$ continuum state to the ground state of the α particle. Both the ${}^{5}$ $S_{2}$ continuum and the ground states are calculated with the variational Monte Carlo method using the realistic Argonne- $v_{14}$ two-nucleon and Urbana model-VII three-nucleon interactions. A qualitative agreement with the observed cross section is obtained. This reaction can proceed only through the D states in the deuteron and/or in the α particle. It is found that, depending upon the continuum wave function, the contributions of the deuteron and α-particle D states can either add to produce a large cross section, or cancel. The reaction is thus very sensitive to the continuum wave function.