Separablepotential threebody model of the A=6 system. II. ^{6}Li ground state
Abstract
Separablepotential threebody (α np) models of the ^{6}Li ground state are examined. Different separablepotential fits to the αn phase shifts and the lowenergy ^{3}S_{1}^{3}D_{1} twonucleon parameters are reviewed, after which integral equations are derived for the spectator functions of the ^{6}Li groundstate wave function assuming S_{12}, P_{12}, and P_{32} components in the αn interaction. These equations are solved to determine the ^{6}Li binding energy and investigate its sensitivity to the ^{3}D_{1} component of the twonucleon interaction, its variation upon neglecting different components of the αn interaction, and its dependence on different analytical forms for the Pwave αn interactions. For two wave functions derived from the same set of αn interactions, but with the ^{3}S_{1}^{3}D_{1} twonucleon interaction producing 0% and 4% dwave components in the deuteron, respectively, the spectator functions are given and the contributions to the groundstate normalization of the various components are calculated. The latter two wave functions correspond to threebody ^{6}Li binding energies of 4.446 MeV (0%) and 4.070 MeV (4%) compared with the Coulombadjusted experimental value of 4.53 MeV. [NUCLEAR STRUCTURE ^{6}Li; binding energy, wave function, wave function components, normalization. Threebody, separablepotential model.]
 Publication:

Physical Review C
 Pub Date:
 February 1978
 DOI:
 10.1103/PhysRevC.17.744
 Bibcode:
 1978PhRvC..17..744L