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The Effect of the D-State of the Deuteron in (d,p) Reactions.

Santos, F. D. (1968) The Effect of the D-State of the Deuteron in (d,p) Reactions. Doctoral thesis, University of Surrey (United Kingdom)..

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Abstract

The [3]D[1] state of the deuteron was taken into account in the distorted-wave Born approximation theory of deuteron stripping reactions. An approximation was used for the radial part of the D-wave in momentum space and the local energy approximation for finite range effects in the S-state part of the reaction scattering amplitude was extended to the D-state part. The angular dependence of the D-wave is accounted for exactly in the formalism of the distorted-wave theory. The resulting calculations at deuteron energies below 20 MeV show that the D-state effect in the differential cross-section is strongly dependent on l and j and its magnitude increases with l. The j-dependence of the effect improves significantly the theoretical fit to the small angle j-dependence observed in l = 3 angular distributions. This is particularly noticeable when configuration mixing effects are relatively small in both the 5-/2and the 7-/2 transitions. The j-dependence of the effect is also in qualitative agreement with the small angle j-dependence observed in Id transitions. However the inclusion of the D-state does not improve the agreement with the large angle j-dependence in l = 1 angular distributions. Using a surface reaction model it is shown that the magnitude of the D-state effect, relative to the S-state, in the angular distribution increases with the Q-value of the reaction and decreases with an increase in the target nucleus mass and the reaction energy. It is proved that in the absence of spin-dependent distortion the proton polarization is more sensitive than the deuteron efficiency vector to those j-dependent effects, introduced by the D-state, which do not obey the simple sign rule valid for the S-state contribution.

Item Type: Thesis (Doctoral)
Divisions : Theses
Authors :
NameEmailORCID
Santos, F. D.
Date : 1968
Contributors :
ContributionNameEmailORCID
http://www.loc.gov/loc.terms/relators/THS
Additional Information : Thesis (Ph.D.)--University of Surrey (United Kingdom), 1968.
Depositing User : EPrints Services
Date Deposited : 22 Jun 2018 15:15
Last Modified : 06 Nov 2018 16:54
URI: http://epubs.surrey.ac.uk/id/eprint/848325

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