Distorted-Wave Born-Approximation Analysis of the Ca 42 ( p , α ) K…
1973; American Institute of Physics; Volume: 8; Issue: 5 Linguagem: Inglês
10.1103/physrevc.8.1757
ISSN1538-4497
Autores Tópico(s)Atomic and Molecular Physics
ResumoAn improved method of calculating the form factor for the distorted-wave Born-approximation treatment of ($p,\ensuremath{\alpha}$) reactions is described that incorporates explicitly the nuclear structure information. The improvement over earlier treatment of the ($p,\ensuremath{\alpha}$) reaction is achieved by carrying out a transformation to center-of-mass and internal coordinates of the transferred nucleons, whose individual wave functions are calculated in a Woods-Saxon potential. The formalism is applied to an analysis of the $^{42}\mathrm{Ca}(p,\ensuremath{\alpha})^{39}\mathrm{K}$ reaction performed at a proton bombarding energy of 40.2 MeV. Relative proton spectroscopic factors are deduced for the relatively pure single-hole states at 0.0 (${\frac{3}{2}}^{+}$) and 2.52 (${\frac{1}{2}}^{+}$) MeV in $^{39}\mathrm{K}$. Good agreement with the proton spectroscopic factors from the $^{40}\mathrm{Ca}(d,^{3}\mathrm{He})^{39}\mathrm{K}$ reaction is achieved. The ${\frac{5}{2}}^{+}$ states in $^{39}\mathrm{K}$ whose structure is largely unknown contain components important to the ($p,\ensuremath{\alpha}$) reaction, but not to the ($d$, $^{3}\mathrm{He}$) reaction, as evidenced by their relatively stronger excitation in the ($p,\ensuremath{\alpha}$) reaction.
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