Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2005-03-14
Phys.Rev. C72 (2005) 035210
Physics
Nuclear Physics
Nuclear Theory
RevTex, 10 pages, 1 figure, submitted for publication. v2: 16 pages, 1 correction made, more detail and 4 appendices added, nu
Scientific paper
10.1103/PhysRevC.72.035210
We derive general explicit expressions for a shell-model calculation of the intrinsic asymmetry parameter, $a_\Lambda$, in nonmesonic weak hypernuclear decay. They include the effects of three-body kinematics in the final states of the decay and correctly treat the contribution of transitions originating from single-proton states beyond the s-shell. The expressions are particularized to the cases of $^5_\Lambda$He and $^{12}_\Lambda$C and used for the calculation of $a_\Lambda$ in several one-meson-exchange models. Besides the strictly local approximation usually adopted for the transition potential, we also consider the addition of the first-order nonlocality terms. We find values for $a_\Lambda$ ranging from -0.62 to -0.24, in qualitative agreement with other theoretical estimates but in contradiction with some recent experimental determinations.
Barbero Cesar
Galeao Alfredo P.
Krmpotic Francisco
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