Resonance and Non-resonance Contributions to the $B^0\rightarrow \bar{D}^{*0}K^+\pi ^-$ and $B^0_s\rightarrow \bar{D}^{*0}K^-\pi ^+$ Decays

Mohammadi, Behnam

doi:10.1007/s10773-022-05214-7

Resonance and Non-resonance Contributions to the $B^0\rightarrow \bar{D}^{0}K^+\pi ^-$ and $B^0_s\rightarrow \bar{D}^{0}K^-\pi ^+$ Decays

Behnam Mohammadi
(
- Urmia U.
)

Sep 16, 2022

11 pages

Published in:

Int.J.Theor.Phys. 61 (2022) 9, 230

Published: Sep 16, 2022

DOI:

10.1007/s10773-022-05214-7

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Abstract: (Springer)

In this study, I calculate the branching fractions of the

B^0\rightarrow \bar{D}^{*0}K^+\pi ^-

and

B^0_s\rightarrow \bar{D}^{*0}K^-\pi ^+

decays using the Dalitz plot analysis based on the framework of the factorization approach. This analysis includes resonance and non-resonance contributions, the resonances of

B^0\rightarrow \bar{D}^{*0}K^+\pi ^-

decay are

K^*(892)^0

,

K^*_0(1430)^0

and

D_1(2420)^-

,

D^*_2(2460)^-

; while

\bar{K}^*(892)^0

,

\bar{K}^*_0(1430)^0

and

D_{s1}(2536)^-

,

D^*_{s2}(2573)^-

are the corresponding resonances to the

B^0_s\rightarrow \bar{D}^{*0}K^-\pi ^+

decay. The overall branching fractions are obtained in this research to be

\mathcal {B}(B^0\rightarrow \bar{D}^{*0}K^+\pi ^-)=(5.13\pm 1.33)\times 10^{-5}

and

\mathcal {B}(B^0_s\rightarrow \bar{D}^{*0}K^-\pi ^+)=(9.67\pm 2.32)\times 10^{-4}

. The dominant contributions to these calculations are the

K^*(892)^0

and

\bar{K}^*(892)^0

resonances, respectively. The obtained branching fraction of the

B^0\rightarrow \bar{D}^{*0}K^+\pi ^-

decay mode relative to that of the

B^0_s\rightarrow \bar{D}^{*0}K^-\pi ^+

decay,

{{(0.05\pm 0.02)}}

, is comparable to the experimental result,

(0.0712\pm 0.0035\pm 0.0062\pm 0.0022)

, reported by the LHCb collaboration.

Standard model
Meson decays
Factorization
Branching fraction
B0: hadronic decay
B/s0: hadronic decay
B0: branching ratio
B/s0: branching ratio
branching ratio: calculated
factorization

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Resonance and Non-resonance Contributions to the B0→Dˉ∗0K+π−B^0\rightarrow \bar{D}^{*0}K^+\pi ^-B0→Dˉ∗0K+π− and Bs0→Dˉ∗0K−π+B^0_s\rightarrow \bar{D}^{*0}K^-\pi ^+Bs0​→Dˉ∗0K−π+ Decays

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Resonance and Non-resonance Contributions to the $B^0\rightarrow \bar{D}^{0}K^+\pi ^-$ and $B^0_s\rightarrow \bar{D}^{0}K^-\pi ^+$ Decays