Center of mass motion in bag model

Liu, Chia-Wei; Geng, Chao–Qiang

doi:10.48550/arxiv.2205.08158

Cited by 1 publication

(2 citation statements)

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“…In this appendix, we sketch the method of evaluating I q B Q in the BM with the center-ofmass motion removed. To be consistent with HQE, the normalization constant in the BM is chosen to satisfy [62]…”

Section: A Four-quark Operator Matrix Elements In the Bag Modelmentioning

confidence: 99%

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Study of singly heavy baryon lifetimes

Cheng

Liu²

2023

J. High Energ. Phys.

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We study the inclusive decay widths of singly heavy baryons with the improved bag model in which the unwanted center-of-mass motion is removed. Additional insight is gained by comparing the charmed and bottom baryons. We discuss the running of the baryon matrix elements and compare the results with the non-relativistic quark model (NRQM). While the calculated two-quark operator elements are compatible with the literature, those of the four-quark ones deviate largely. In particular, the heavy quark limit holds reasonably well in the bag model for four-quark operator matrix elements but is badly broken in the NRQM. We predict 1 − τ (Ωb)/τ($$ {\Lambda}_b^0 $$ Λ b 0 ) = (8.34 ± 2.22)% in accordance with the current experimental value of $$ \left({11.5}_{-11.6}^{+12.2}\right)\% $$ 11.5 − 11.6 + 12.2 % and compatible with (13.2 ± 4.7)% obtained in the NRQM. We find an excellent agreement between theory and experiment for the lifetimes of bottom baryons. We confirm that $$ {\Omega}_c^0 $$ Ω c 0 could live longer than $$ {\Lambda}_c^{+} $$ Λ c + after the dimension-7 four-quark operators are taken into account. We recommend to measure some semileptonic inclusive branching fractions in the forthcoming experiments to discern different approaches. For example, we obtain $$ \mathcal{BF}\left({\Xi}_c^{+}\to X{e}^{+}{\nu}_e\right) $$ BF Ξ c + → X e + ν e = (8.57±0.49)% and $$ \mathcal{BF}\left({\Omega}_c^0\to X{e}^{+}{\nu}_e\right) $$ BF Ω c 0 → X e + ν e = (1.88 ± 1.69)% in sharp contrast to $$ \mathcal{BF}\left({\Xi}_c^{+}\to X{e}^{+}{\nu}_e\right) $$ BF Ξ c + → X e + ν e = $$ \left({12.74}_{-2.45}^{+2.54}\right)\% $$ 12.74 − 2.45 + 2.54 % and $$ \mathcal{BF}\left({\Omega}_c^0\to X{e}^{+}{\nu}_e\right) $$ BF Ω c 0 → X e + ν e = $$ \left({7.59}_{-2.24}^{+2.49}\right)\% $$ 7.59 − 2.24 + 2.49 % found in the NRQM.

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Section: A Four-quark Operator Matrix Elements In the Bag Modelmentioning

confidence: 99%

“…The readers interested in the technical details are referred to ref. [62]. Here, we simply quote the results…”

Section: A Four-quark Operator Matrix Elements In the Bag Modelmentioning

confidence: 99%