From topological amplitude to rescattering dynamics in doubly charmed baryon decays

Wang, Di

doi:10.1103/physrevd.105.073002

Cited by 3 publications

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References 22 publications

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“…Apart form model calculations, it is useful to study charmed baryon decays based on the flavor SU(3) symmetry. Among those SU(3)-inspired approaches, the SU(3) irreducible representation amplitude (IRA) constructed by decomposing the effective Hamiltonian into irreducible representations , and the topological diagram amplitude (TDA) which is classified according to the topological structure of weak interaction [57][58][59][60][61][62][63], are widely used. Both the IRA and TDA are the Wigner-Eckhart invariants [64,65] and equivalent to each other [66][67][68].…”

Section: Introductionmentioning

confidence: 99%

Generation of SU(3) sum rule for charmed baryon decay

Wang

2022

J. High Energ. Phys.

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Flavor SU(3) symmetry is a powerful tool to analyze charmed baryon decays. In this work, we propose an approach to generate SU(3) sum rules for the singly and doubly charmed baryon decays without writing the Wigner-Eckhart invariants explicitly. The SU(3) sum rules are computed routinely in several master formulas. Hundreds of SU(3) sum rules are found to serve as test of the flavor symmetry in the charmed baryon decays.

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Section: Introductionmentioning

confidence: 99%

Generation of SU(3) sum rule for charmed baryon decay

Wang

2022

J. High Energ. Phys.

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Generation of isospin sum rules in heavy hadron weak decays

Wang

2023

J. High Energ. Phys.

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Isospin symmetry is the most precise flavor symmetry. In this work, we propose an approach to generate isospin sum rules for heavy hadron decays without the Wigner-Eckhart invariants. The effective Hamiltonian of heavy quark weak decay is fully invariant under a series of isospin lowering operators $$ {I}_{-}^n $$ I − n and then the isospin sum rules can be generated through several master formulas. It provides a systematic way to study the isospin symmetry of c- and b-hadron weak decays. The theoretical framework of this approach is presented in detail with the nonleptonic decays of D and B mesons as examples. In addition, the V-/U-spin sum rules are derived in a similar algorithm by replacing $$ {I}_{-}^n $$ I − n with $$ {V}_{-}^n/{U}_{-}^n $$ V − n / U − n .

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Isospin sum rules in charmed baryon weak decays

Luo,

Wang

2024

Eur. Phys. J. C

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Isospin symmetry is the most precise flavor symmetry. The effective Hamiltonian of charm quark weak decay is zero under the isospin lowering operators $$I_-^n$$ I - n , which permits us to generate isospin sum rules through several master formulas. In this work, we derive the master formulas of isospin sum rules for the two- and three-body non-leptonic decays of singly and doubly charmed baryons. Hundreds of isospin sum rules are derived to test of isospin symmetry and provide hints for the new decay modes. The isospin sum rules for multi-body decays are not broken by the intermediate resonances and hence can be used to study the isospin partners of exotic hadrons.

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From topological amplitude to rescattering dynamics in doubly charmed baryon decays

Cited by 3 publications

References 22 publications

Generation of SU(3) sum rule for charmed baryon decay

Generation of SU(3) sum rule for charmed baryon decay

Generation of isospin sum rules in heavy hadron weak decays

Isospin sum rules in charmed baryon weak decays

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