Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-04-21
Phys.Rev. D48 (1993) 4188-4202
Physics
High Energy Physics
High Energy Physics - Phenomenology
PHYZZX, 31 pages, 3 tables, IP-ASTP-10-93, ITP-SB-93-20
Scientific paper
10.1103/PhysRevD.48.4188
Cabibbo-allowed nonleptonic weak decays of charmed baryons $\lamc,~\xin,~\xip$ and $\Omega_c^0$ into an octet baryon and a pseudoscalar meson are analyzed. The nonfactorizable contributions are evaluated under pole approximation, and it turns out that the $s$-wave amplitudes are dominated by the low-lying $\halfm$ resonances, while $p$-wave ones governed by the ground-state $\halfp$ poles. The MIT bag model is employed to calculate the coupling constants, form factors and baryon matrix elements. Our conclusions are: (i) $s$ waves are no longer dominated by commutator terms; the current-algebra method is certainly not applicable to parity-violating amplitudes, (ii) nonfactorizable $W$ exchange effects are generally important; they can be comparable to and somtimes even dominate over factorizable contributions, depending on the decay modes under consideration, (iii) large-$N_c$ approximation for factorizable amplitudes also works in the heavy baryon sector and it accounts for the color nonsuppression of $\lamc\ri p\bar{K}^0$ relative to $\lamc\ri\Lambda\pi^+$, (iv) a measurement of the decay rate and the sign of the $\alpha$ asymmetry parameter of certain proposed decay modes will help discern various models; especially the sign of $\alpha$ in $\lamc\ri\Sigma\pi$ decays can be used to unambiguously differentiate recent theoretical schemes from current algebra, and (v) $p$ waves are the dominant contributions to the decays $\lamc\ri\Xi^0 K^+$ and $\xin\ri\Sigma^+ K^-$, but they are subject to a large cancellation; this renders present theoretical predictions on these two channels unreliable.
Cheng Hai-Yang
Tseng Belle
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