Branching fractions of $$B^-\rightarrow D^-X_{0,1}(2900)$$ and their implications

AbstractThe exotic states $$X_{0,1}(2900)$$ X 0 , 1 ( 2900 ) with the quark flavor of $$cs\bar{u}\bar{d}$$ c s u ¯ d ¯ are recently observed in the mass spectrum of $$D^+K^-$$ D + K - in $$B^-\rightarrow D^-D^+K^-$$ B - → D - D + K - by the LHCb collaboration. To explore the nature of $$X_{0,1}(2900)$$ X 0 , 1 ( 2900 ) , except for analyzing their masses and decay widths as usually did in literatures, the study of their production mechanism in B-meson weak decays would provide another important information. The amplitude of $$B^-\rightarrow D^- X_{0,1}$$ B - → D - X 0 , 1 is non-factorizable. We consider the final-state-interaction effects and calculate them via the rescattering mechanism. The measured branching fractions of $$B^-\rightarrow D^- X_{0,1}$$ B - → D - X 0 , 1 are revealed. It is manifested by $${B}^-\rightarrow \Lambda _c^-\Xi _c^{(\prime )0}$$ B - → Λ c - Ξ c ( ′ ) 0 and $$\Lambda _b^0\rightarrow P_c^+K^-$$ Λ b 0 → P c + K - that the rescattering mechanism can result in the relatively large branching fractions. The similar processes of $$B^-\rightarrow \pi ^-X_{0,1}$$ B - → π - X 0 , 1 are also analyzed. The isospins of $$X_{0,1}$$ X 0 , 1 can be investigated by $$B\rightarrow DX_{0,1}^{\pm ,0}$$ B → D X 0 , 1 ± , 0 decays.

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Weak decays of bottom-charm baryons: $$\mathcal {B}_{bc}\rightarrow \mathcal {B}_bP$$

The European Physical Journal C ◽

10.1140/epjc/s10052-021-09239-w ◽

2021 ◽

Vol 81 (6) ◽

Author(s):

Jia-Jie Han ◽

Rui-Xiang Zhang ◽

Hua-Yu Jiang ◽

Zhen-Jun Xiao ◽

Fu-Sheng Yu

Keyword(s):

Final State Interaction ◽

Light Quark ◽

Decay Rates ◽

Long Distance ◽

Final State ◽

Decay Modes ◽

Weak Decays ◽

Charm Baryon ◽

Charm Baryons ◽

Double Charm

AbstractAfter the discovery of the double-charm baryon $$\Xi _{cc}^{++}$$ Ξ cc + + by LHCb, one of the most important topics is to search for the bottom-charm baryons which contain a b quark, a c quark and a light quark. In this work, we study the two-body non-leptonic weak decays of a bottom-charm baryon into a spin-1/2 bottomed baryon and a light pseudoscalar meson with the short-distance contributions calculated under the factorization hypothesis and the long-distance contributions considering the final-state-interaction effects. The branching fractions of all fifty-seven decay channels are estimated. The results indicate that $$\Xi _{bc}^+\rightarrow \Xi _b^0\pi ^+$$ Ξ bc + → Ξ b 0 π + , $$\Xi _{bc}^{0}\rightarrow \Xi _{b}^{-}\pi ^+$$ Ξ bc 0 → Ξ b - π + and $$\Omega _{bc}^0\rightarrow \Omega _b^-\pi ^+$$ Ω bc 0 → Ω b - π + decay modes have relatively large decay rates and thus could be used to experimentally search for the bottom-charm baryons. The topological diagrams and the SU(3) symmetry of bottom-charm baryon decays are discussed.

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Study of B+ c decays to the K+K−π+ final state by using B0 s , χc0 and D0 resonances and weak annihilation nonresonant topologys

Journal of High Energy Physics ◽

10.1007/jhep12(2017)019 ◽

2017 ◽

Vol 2017 (12) ◽

Cited By ~ 1

Author(s):

Behnam Mohammadi

Keyword(s):

Matrix Element ◽

Final State Interaction ◽

Branching Ratios ◽

Weak Decay ◽

Lhcb Collaboration ◽

Final State ◽

Intermediate States ◽

Intermediate Resonance ◽

Weak Annihilation ◽

First Time

AbstractIn this research the weak decay ofBc+decays to theK+K−π+final state, which is being observed by LHCb collaboration for the first time, is calculated in the quasi-two-body decays which takes theBs0, χc0andD0resonances and weak annihilation nonresonant contributions into account. In this process, theBc+meson decays first intoBs0π+, χc0π+andD0π+intermediate states, and then theBs0, χc0andD0resonances decay intoK+K−components, which undergo final state interaction. The mode of theBc+ → D0(→K−π+)K+is also associated with the calculation, in this mode the intermediate resonanceD0decays to theK−π+final mesons. The resonancesBs0, χc0andD0effects in theBc+ → Bs0(→K+K−)π+,Bc+ → χc0(→K+K−)π+andBc+ → D0(→K+K−)π+,D0(→K−π+)K+decays are described in terms of the quasi-two-body modes. There is a weak annihilation nonresonant contribution in whichBc+decays to theK+K−π+directly, so the point-like 3-body matrix element$$ \left\langle {K}^{+}{K}^{-}{\pi}^{+}\left|u\overline{d}\right|0\right\rangle $$K+K−π+ud¯0is also considered. The decay mode of the$$ {B}_c^{+}\to {\overline{K}}^{\ast 0}(892){K}^{+} $$Bc+→K¯∗0892K+is contributed to the annihilation contribution. The branching ratios of quasi-two-body decays expand in the range of (2.12 ± 0.61) × 10−6to (7.56 ± 1.71) × 10−6.

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QCD FACTORIZATION IN HADRONIC B DECAYS

International Journal of Modern Physics A ◽

10.1142/s0217751x01007170 ◽

2001 ◽

Vol 16 (supp01a) ◽

pp. 444-448

Author(s):

MATTHIAS NEUBERT

Keyword(s):

Strong Interaction ◽

First Principles ◽

Final State Interaction ◽

Form Factors ◽

B Decays ◽

Final State ◽

Heavy Mesons ◽

Weak Decays ◽

Qcd Factorization ◽

Heavy Quark Limit

We review recent advances in the theory of strong-interaction effects and final-state interaction in hadronic weak decays of heavy mesons. In the heavy-quark limit, the amplitudes for most nonleptonic, two-body B decays can be calculated from first principles and expressed in terms of semileptonic form factors and light-cone distribution amplitudes. We summarize the main features of this novel QCD factorization and discuss its phenomenological applications to the charmless decays B→π K and B→ππ.

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THE FINAL STATE INTERACTION IN THE REACTIONS pp→K+(Λp) AND pp→π+(np)

International Journal of Modern Physics A ◽

10.1142/s0217751x05021452 ◽

2005 ◽

Vol 20 (02n03) ◽

pp. 291-300 ◽

Cited By ~ 4

Author(s):

F. HINTERBERGER ◽

S. N. NEDEV ◽

R. SIUDAK

Keyword(s):

Wave Function ◽

Mass Spectrum ◽

Enhancement Factor ◽

Final State Interaction ◽

Invariant Mass Spectrum ◽

State Interaction ◽

Final State ◽

Missing Mass ◽

Section Data ◽

Scattering Lengths

The reactions pp→K+(Λp) and pp→π+(np) are measured with high missing mass resolution using the spectrometer BIG KARL at COSY. The pp→K+(Λp) missing mass spectrum is analyzed with respect to the final state interaction near the Λp production threshold. The observed spectrum can be described by factorizing the reaction amplitude in terms of a production amplitude and a final state enhancement factor. Parametrizing the enhancement factor in terms of the inverse Jost function allows a direct extraction of the low-energy phase-equivalent potential parameters. Constraints on the singlet and triplet scattering lengths and effective ranges can be deduced by fitting simultaneously the Λp invariant mass spectrum and the total cross section data of the free Λp scattering. A similar analysis shows that the reaction pp→π+(np) is dominated by the triplet contribution to the (np) final state interaction. An upper limit of a possible singlet contribution is deduced. Finally, the reaction pp→π+(np) allows to test the Fäldt-Wilkin extrapolation theorem where the triplet (np) continuum wave function is extrapolated to the wave function of the deuteron.

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The branching fraction calculations of Bc+ → ψ(2S)π+, Bc+ → J/ψK+ and Bc+ → J/ψDs+ decays relative to that of the Bc+ → J/ψπ+ mode

International Journal of Modern Physics A ◽

10.1142/s0217751x18500446 ◽

2018 ◽

Vol 33 (08) ◽

pp. 1850044

Author(s):

Behnam Mohammadi

Keyword(s):

Branching Fraction ◽

Branching Fractions ◽

Decay Amplitude ◽

Weak Decay ◽

Lhcb Collaboration ◽

Tree Level ◽

Final State ◽

Factorization Approximation ◽

Weak Annihilation ◽

First Time

The weak decay of [Formula: see text] into [Formula: see text], [Formula: see text] and [Formula: see text] mesons, observed by LHCb collaboration for the first time, are calculated in the model which takes into account the “factorizable” contributions and “nonfactorizable” corrections. The decays of [Formula: see text] mesons into charmonia and light hadrons are expected to be well described by the factorization approximation. In the standard model, [Formula: see text], [Formula: see text] decays occur through only the tree-level diagrams and so there are no CP violation in these channels. The decay [Formula: see text] is expected to proceed mainly via a [Formula: see text] transition because the [Formula: see text] decay has identical final state and similar event topology, where it is chosen as the relative branching fraction channel. The ratio of branching fractions [Formula: see text] is of particular interest since the CKM matrix element is suppressed by a factor [Formula: see text], in which the [Formula: see text] occur through [Formula: see text] transition, but the dominant amplitude of the decay [Formula: see text] is a [Formula: see text] transition. The decay [Formula: see text] is examined by color-allowed, color-suppressed spectator and weak annihilation diagrams. The weak annihilation topology, in contrast to decays of other beauty hadrons, is not suppressed and can contribute significantly to the decay amplitude. Because of the [Formula: see text], [Formula: see text] and [Formula: see text] branching fractions are calculated relative to the [Formula: see text] decay, this decay mode is estimated separately, the ratio between them are [Formula: see text], [Formula: see text] and [Formula: see text], respectively, that are compatible with the experimental data.

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Branching fractions of Bc+ decays to two vector charm mesons

International Journal of Modern Physics A ◽

10.1142/s0217751x20500931 ◽

2020 ◽

Vol 35 (19) ◽

pp. 2050093

Author(s):

Behnam Mohammadi

Keyword(s):

Strong Interaction ◽

Final State Interaction ◽

Branching Fractions ◽

Branching Ratio ◽

Form Factors ◽

State Interaction ◽

Charm Mesons ◽

Final State ◽

Phenomenological Parameter ◽

Intermediate States

In this paper the decays of [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] have been investigated. The available experimental results for these decays are (in units of [Formula: see text]): [Formula: see text] By applying the theoretical value of the [Formula: see text] that span the range of [Formula: see text], the results for QCDF approach are about [Formula: see text] times smaller than experimental one. Therefore, it is decided to calculate the theoretical branching ratio by applying the final state interaction (FSI) through the [Formula: see text] (crossed and uncrossed) channels. The FSI effects are very sensitive to the changes in the phenomenological parameter [Formula: see text]. This parameter appears in the FSI form factors that increase strong interaction share. In most calculation changing two units in this parameter, makes the final result multiply in the branching ratio, therefore the decision to use FSI is not unexpected. In this study there are thirteen intermediate states for [Formula: see text] decay, fifteen intermediate states for [Formula: see text] decay and four intermediate states for [Formula: see text] and [Formula: see text] decays, in which the contribution of each one is calculated and summed in the final amplitude. Considering [Formula: see text] and fixing [Formula: see text] between four and five acceptable results have been obtained.

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Dynamical Approach to Decays of XYZ States

Symmetry ◽

10.3390/sym12060884 ◽

2020 ◽

Vol 12 (6) ◽

pp. 884

Author(s):

Stanislav Dubnička ◽

Anna Zuzana Dubničková ◽

Mikhail A. Ivanov ◽

Andrej Liptaj

Keyword(s):

Branching Fractions ◽

Molecular Type ◽

Quark Confinement ◽

Decay Modes ◽

Exotic States ◽

Dynamical Approach ◽

Decay Widths ◽

Non Local ◽

Multiquark States ◽

Covariant Quark Model

We review the existing results on the exotic XYZ states and their decays obtained within the confined covariant quark model. This dynamical approach is based on a non-local Lagrangian of hadrons with quarks, has built-in quark confinement, and is suited well for the description of different multiquark states, including the four quark ones. We focus our analysis on the various decay modes of five exotic states, X ( 3872 ) , Z c ( 3900 ) , Y ( 4260 ) , Z b ( 10610 ) , and Z b ′ ( 10650 ) , aiming to clarify their internal quark structures. By considering mostly branching fractions and decay widths using the molecular-type or the tetraquark-type interpolating currents, conclusions about the nature of these particles are drawn: the molecular structure is favored for Z c ( 3900 ) , Z b ( 10610 ) , and Z b ′ ( 10650 ) and the tetraquark for X ( 3872 ) and Y ( 4260 ) .

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