Theory of Finite-Range Distorted-Waves Calculations

Asymptotic normalization coefficients for Be7+p→B8 from the peripheral Tojiboev1, Yarmukhamedov2, Artemov3 et al. 2016Phys. Rev. C14150View full textAdd to dashboardCite

“…The main contribution to the full transition operator in the amplitude (at least near the main peak region in the angular distribution) comes from the proton-neutron nuclear V N np potential [19,30,31] since ∆V C f =0 in the full transition operator because of the presence of a neutron in the final state. Then the single particle DWBA cross section can be calculated within the finite range DWBA in the "post"-approximation with the DWUCK5 code.…”

“…Note that this consideration is also valid for the finite range of DWBA. In the radial integral for the matrix element [30] in the R j B (E i , θ; b B; j B ) function we split the space of interaction of the colliding particles in two parts separated by the channel radius R ch [25]: the interior part (0≤ R ≤ R ch ), where nuclear forces between the colliding nuclei are important, and the exterior part (R ch ≤ R < ∞), where the interaction between the colliding nuclei is governed by Coulomb forces only. The exterior part of the radial integral for the matrix element in the R j B (E i , θ; b B; j B ) function does not contain explicitly the free parameter b B; j B , since for R > R ch the bound [( 7 Be + p)] state wave function ϕ B; j B (R)[=ϕ B; j B (R; b B; j B ) [25]] can be approximated by its asymptotic behavior [14].…”

“…Consequently, parametrization of the differential cross section in the form (2) allows to fix the contribution from the exterior region in a model independent way, if it is dominant for the peripheral reaction and if the ANCs C B; j B (j B =1/2 and 3/2) are known. In that case the contribution from the interior part of the radial matrix element to the R j B (E i , θ; b B; j B ) function, which depends on b B; j B through the fraction ϕ B; j B (R; b B; j B )/b B; j B [25,30], exactly determines the dependence of the R j B (E i , θ; b B; j B ) function on b B; j B . It should be noted that this fraction is convolved with the radial optical wave functions in the initial and final states in the integrand of the radial integral for the interior part of the matrix element.…”

The theoretical analysis of nuclear reactions involving strongly deformed nuclei using phenomological models

“…10 Austern et al ). In order to make stripping cross sections realistically calculable, it has been customary to make the zero range approximation in which the product VY\f(t,.f) cPoiC,;,,) -==]) C~,.…”

THE (He$sup 3$,d) REACTION ON THE N = 28 NUCLEI (thesis)

“…The effect of a finite range of interaction is to severely attenuate the contribution to the stripping process from the interior of the nucleus. Therefore, 28 an extensive search was made to determine a suitable value for the cutoff ... The experimental results are presented in Table II , --,o f G,r.R··0 -1 W f (r,ro,··0, 'c Go.)…”