Relativistic corrections of one-nucleon current in low-energy three-nucleon photonuclear reactions

Abstract

Proton-deuteron radiative capture and two-and three-body photodisintegration of 3 He at low energy are described using realistic hadronic dynamics and including the Coulomb force. The sensitivity of the observables to the relativistic corrections of one-nucleon electromagnetic current operator is studied. Significant effects of the relativistic spin-orbit charge are found for the vector analyzing powers in the proton-deuteron radiative capture and for the beam-target parallel-antiparallel spin asymmetry in the three-body photodisintegration of 3 He.

Bound state techniques to solve the multiparticle scattering problem

“…On the other hand, in the three-particle system the complex energy method seems to be unnecessary. Indeed, the most sophisticated momentumspace calculations of neutron-deuteron [126,127,3] and proton-deuteron [15,16,128] elastic scattering and breakup and of three-body nuclear reactions [71,73] are done directly at real energies using realaxis integration methods; thus, the integral equation kernel singularities in the three-particle system are well under control. In contrast, the only existing momentum-space calculations for the scattering of four particles above four-particle breakup threshold are done using the complex energy method.…”

Neutron–19C scattering: Towards including realistic interactions

“…The present work is based on Faddeev equations for the multichannel transition operators U βα in the version derived by Alt, Grassberger, and Sandhas (AGS) [30] but extended to include also the 3BF. Such extensions have been proposed in a number of works, e.g., [35,28], but their practical applications mostly were limited to the symmetrized version in the three-nucleon system. The general form of three-body equations from Ref.…”

“…The general form of three-body equations from Ref. [28] is taken for the present study of the n-19 C scattering, i.e.,…”

“…The odd-man-out notation is used, i.e., the channel α corresponds to the configuration where the particle α is the spectator and the remaining two are the pair. The decomposition of the 3BF into three symmetric parts (7) is essential for the symmetrization of three-nucleon equations [28] but is not needed in the present work. Labeling the particles n, A, n as 1, 2, 3 and taking u α = δ α2 W , the system of the AGS equations (5) for the n-19 C scattering simplifies to…”

“…In the present work the description is obtained by a combination and extension of momentum-space techniques from Refs. [27,28]. Both are based on exact Faddeev three-body theory [29] in the integral form for transition operators as proposed by Alt, Grassberger, and Sandhas (AGS) [30], but either neglecting the 3BF [27] or limited to the three-nucleon system [28].…”