2021
DOI: 10.48550/arxiv.2111.04124
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Equivalent $SU(3)_f$ approaches for two-body anti-triplet charmed baryon decays

Y. K. Hsiao,
Y. L. Wang,
H. J. Zhao

Abstract: For the two-body anti-triplet charmed baryon decays, there exist two theoretical analyses based on the SU (3) flavor (SU (3) f ) symmetry. One is the irreducible SU (3) f approach (IRA), which depends on the irreducible SU (3) f representation of the effective Hamiltonian. The other is the topological-diagram approach (TDA), where the decays are drawn to consist of W -boson emission and W -boson exchange topologies. We demonstrate that IRA and TDA can be equivalent, such that the IRA parameters can be seen to … Show more

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Cited by 2 publications
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“…Many of the theoretical studies for these decays rely on modeling QCD dynamics for predictions and to test different models [18][19][20][21][22][23][24]. One of the most used models is based on SU(3) flavour symmetry which parametrize amplitudes according to symmetry properties [25][26][27][28][29][30][31][32][33][34][35][36]. Although one cannot obtain the absolute size of the decay amplitudes based on the first principle calculations, relations can be obtained among different decay modes to test the model.…”
Section: Introductionmentioning
confidence: 99%
“…Many of the theoretical studies for these decays rely on modeling QCD dynamics for predictions and to test different models [18][19][20][21][22][23][24]. One of the most used models is based on SU(3) flavour symmetry which parametrize amplitudes according to symmetry properties [25][26][27][28][29][30][31][32][33][34][35][36]. Although one cannot obtain the absolute size of the decay amplitudes based on the first principle calculations, relations can be obtained among different decay modes to test the model.…”
Section: Introductionmentioning
confidence: 99%
“…For example, the phenomenological analyses of refs. [17,18] suggest that in Λ c decays, the analogues of diagrams (a), (b) and (c) are comparable in magnitude, which is very different to the situation in Λ b decays, where there is empirical evidence (noted above) for significant suppression of diagram (b) compared to (a).…”
Section: Model a Productionmentioning
confidence: 85%