Ab initiofour-body calculation ofn-He3,p

Abstract

Four-body equations in momentum space are solved for neutron-3 He, proton-3 H, and deuteron-deuteron scattering; all three reactions are coupled. The Coulomb interaction between the protons is included using the screening and renormalization approach as was recently done for proton-deuteron and proton-3 He scattering. Realistic potentials are used between nucleon pairs. For the first time fully converged results for the observables pertaining to the six different elastic and transfer reactions are obtained and compared with experimental data.

Polarization: A must for fusion

“…It has been argued that the Cross Section (CS) should be significantly reduced if the interacting deuterons have parallel vector polarizations (i.e., with total spin S = 2, namely quintet transitions 5 ). The large Quintet Suppression Factor (QSF) is confirmed by recent calculations, with QSF going from 0.5 at 100 keV to 0.2 at 4 MeV [8]. Moreover, the total CS is in the range of 100 mb, to be compared to 100 b for the electromagnetic reaction (2).…”

Benchmark calculation ofp−H3andn−He3

“…Moreover, we note that in Ref. [16], using four realistic NN potentials, a significant sensitivity of charge-exchange observables to the NN force model has been found.…”

“…Scattering amplitudes for elastic and charge-exchange reactions are given by on-shell matrix elements of U 11 as described in Refs. [14,16,33] where also further details regarding the numerical solution can be found. Note that in the considered energy regime the only singularities in the kernel of AGS equations arise due to bound-state poles of U 1 and are treated by a simple subtraction method.…”

“…The angular dependence is hidden in tripolar harmonics Y α i (x i ,ŷ i ,ẑ i ), which in addition to angular momentum variables comprise spins and isospins of the nucleons. To couple the angular and spin quantum numbers, a slightly different scheme is employed compared to AGS and HH methods, namely the jj-coupling scheme, which is defined by: (16) for the components of K-type, and…”

“…These calculations present new challenges and are rather complex since the two reaction channels are coupled and involve both total isospin T = 0 and T = 1 states. So far, only a few accurate calculations have been performed for these processes [16,23]. Only recently, the AGS method has been extended to the energy regime well above breakup threshold where the calculations become even more complicated due to nontrivial boundary conditions or singularities [33].…”