Microscopic Analysis of the (He3,t) and (He3,He3′) Reactions on 1p-Shell Nuclei

Gordon C. Ball and Joseph Cerny
Phys. Rev. 177, 1466 – Published 20 January 1969
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Abstract

The (He3,t) and (He3,He3′) reactions on Be9, C12, C13, C14 [(He3,t) reaction only], N14, and N15 have been investigated at He3 energies varying between 40 and 50 MeV. Angular distributions were obtained for all prominent states up to excitations of 20 MeV. A microscopic analysis of these data has been carried out, using a local two-body interaction with an arbitrary spin-isospin exchange mixture. Spectroscopic factors were calculated, using intermediate-coupling wave functions for p-shell states, while simple jj configurations were assumed for the levels which were populated by promoting a p nucleon to the sd shell. A Yukawa interaction with a range of 1.2 F was found to give the best results. The strength of the effective nucleon-nucleon interaction required to fit these data is in good agreement with recent analyses of the (p,p) and (p,n) reactions on light nuclei. In particular, dominant L=0 transitions observed in the (He3,t) reaction give values for the isospin-dependent (VST=V01) and spin-isospin-dependent (V11) terms (converted to an effective nucleon-nucleon interaction at a range of 1.0 F) of 20.6 and 16.5 MeV, respectively, while the strengths required to fit (He3,t) L=2,3 transitions were generally enhanced. For inelastic transitions, the average strengths obtained for V00, assuming a Serber exchange mixture, varied from 47.2 to 67.3 MeV, depending upon the L transfer involved. A comparison of the (He3,t) and (He3,He3′) reactions populating analog final states (where Tf=Ti+1) is also presented. In general, these transitions were weak; however, it was possible to observe the lowest T=32 levels in the mirror nuclei B9-Be9 and N13-C13, and several T=1 levels in N12-C12.

  • Received 29 July 1968

DOI:https://doi.org/10.1103/PhysRev.177.1466

©1969 American Physical Society

Authors & Affiliations

Gordon C. Ball* and Joseph Cerny

  • Lawrence Radiation Laboratory and Department of Chemistry, University of California, Berkeley, California 94720

  • *Present address: Chalk River Nuclear Laboratories, Chalk River, Ontario, Canada.

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Issue

Vol. 177, Iss. 4 — January 1969

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