Determination of the asymptoticD- toS-state ratio of the triton from sub-Coulomb (d→,t) reactions

Abstract

Angular distributions of the tensor analyzing power A, have been measured for ground state transitions in Sn(d, t) Sn and Sm(d, t) Sm and the first excited state (0.263 MeV) in Pb(d, t) Pb for deuteron energies well below the Coulomb barrier. Exact, finite-range distortedwave Born approximation analyses of these data have been made to establish the asymptotic Dto S-state ratio for the triton, gt. These calculations include a deuteron-nucleus tensor potential determined from the folding model and a long-range tensor potential arising from the Coulomb interaction. Previously obtained A" (9) data for the ground state transitions in Mo(d, t) Mo, Sn(d, t) Sn, and Sm(d, t) Sm at different sub-Coulomb energies have been reanalyzed. Also a careful investigation of possible uncertainties in the value of gt is presented. A best fit to the data gives gt ---0.0411 + 0.0013 + 0.0012, somewhat lower than previous experimental determinations. PACS number(s): 21.45.+v, 24.50. +g, 24.70.+s, 25.45.Hi

Variational description of the helium trimer using correlated hyperspherical harmonic basis functions

“…From this study the asymptotic constants c ν have been extracted. In some particular systems the asymptotic constants can be measured [30]. Moreover, the probability P d of a dimer-like structure inside the trimer has been calculated.…”

The three-nucleon system near the N-d threshold

“…The asymptotic S-and D-state constants for which recent accurate results are available [9][10][11] have also been calculated. These quantities involve the interaction between three nucleons with total angular momentum J π = 1 2 + , which is a very important partial wave in low-energy N-d scattering.…”

“…It is well known that the J π = 1 2 + elastic scattering amplitude and the properties of the threenucleon bound states are closely related. It is therefore of interest to compare the predictions of the AV18+UR potential model to recent experimental results [9][10][11]. For the absolute values of the S-state asymptotic constant C S , the D-state asymptotic constant C D and the ratio η = C D /C S we obtain: C S = 1.854, C D = 0.0798, η = 0.0430 for 3 H, and C S = 1.878, C D = 0.0752, η = 0.0400 for 3 He.…”

Cross Section Measurements of Two-nucleon Pickup Reactions in the 13C+d System at Deuteron Energies below 350 keV

“…1992(Crosson et al . , 1993) and PTOLEMY (Kozlowska et al . 1994) have been successfully used to calculate cross sections and analysing powers of transfer reactions after taking into consideration the finite-range approximation, multisteps in nuclear reactions and D-state effects in few-nucleon systems.…”