scholarly journals Up-down asymmetries of charmed baryon three-body decays

2019 ◽  
Vol 79 (11) ◽  
Author(s):  
Jian-Yong Cen ◽  
Chao-Qiang Geng ◽  
Chia-Wei Liu ◽  
Tien-Hsueh Tsai
Keyword(s):  
Decay Amplitude ◽  
Flavor Symmetry ◽  
S Wave ◽  
Octet Baryon ◽  
Final State ◽  
Charmed Baryon ◽  
Data Points ◽  
Three Body ◽  
Meson States ◽  
Formula Method

AbstractWe study the up-down asymmetries in the three-body anti-triplet charmed baryon decays of $$\mathbf{B}_{\mathbf{c}}\rightarrow \mathbf{B}_{\mathbf{n}}MM' $$Bc→BnMM′ with the $$SU(3)_f$$SU(3)f flavor symmetry, where $$\mathbf{B}_{\mathbf{c}}$$Bc presents the anti-triplet charmed baryon of $$(\Xi _c^0,-\Xi _c^+,\Lambda _c^+)$$(Ξc0,-Ξc+,Λc+), while $$\mathbf{B}_{\mathbf{n}}$$Bn and $$M^{(')}$$M(′) denote octet baryon and meson states, respectively. By assuming the s-wave meson-pairs to be the dominant constituents in final state configurations, we can write the spin-dependent decay amplitude into parity-conserving and parity-violating parts, parametrized by 6 real parameters under $$SU(3)_f$$SU(3)f, respectively. Fitting these parameters by 16 experimental data points with the minimum $$\chi ^2$$χ2 method, we obtain that $$\chi ^2/d.o.f=2.4$$χ2/d.o.f=2.4. With the fitted parameters, we evaluate the up-down asymmetries along with the decay branching ratios of $$\mathbf{B}_{\mathbf{c}}\rightarrow \mathbf{B}_{\mathbf{n}}MM' $$Bc→BnMM′. Some of these up-down asymmetries are accessible to the experiments at BESIII, BELLE-II and LHCb.

scholarly journals NARROW WIDTH PENTAQUARKS

2004 ◽  
Vol 19 (20) ◽  
pp. 1547-1559 ◽  
Author(s):  
F. BUCCELLA ◽  
P. SORBA
Keyword(s):  
Selection Rule ◽  
Flavor Symmetry ◽  
General Study ◽  
S Wave ◽  
Final State ◽  
Narrow Width

A general study of pentaquarks built with four quarks in a L=1 state and an antiquark in S-wave shows that several of such states are forbidden by a selection rule, which holds in the limit of flavor symmetry, to decay into a baryon and a meson final state. We identify the most promising [Formula: see text] multiplet for the classification of the Θ+ and Ξ-- particles recently discovered with the prediction of a narrow width for both of them.

scholarly journals RESONANCES AND WEAK INTERACTIONS IN D+→ π+π−π+ DECAYS

2007 ◽  
Vol 16 (09) ◽  
pp. 2876-2879 ◽  
Author(s):  
DIOGO R. BOITO ◽  
BRUNO EL-BENNICH ◽  
BENOÎT LOISEAU ◽  
OLIVIER LEITNER
Keyword(s):  
Weak Interactions ◽  
Decay Amplitude ◽  
D Meson ◽  
Final State ◽  
Meson Decays ◽  
Factorization Approximation ◽  
Weak Part ◽  
Unitary Model ◽  
Final State Interactions ◽  
Three Body

We describe the ππS-wave in D+→ π+π−π+ decays using a unitary model for the ππ Final State Interactions (FSI). The three body decay is treated as a quasi two-body process where, at the weak vertex, the D meson decays into a resonance and a pion. The weak part of the decay amplitude is evaluated using the effective weak Hamiltonian within the factorization approximation.

scholarly journals Three-body charmed baryon decays with SU(3) flavor symmetry

2019 ◽  
Vol 99 (7) ◽  
Author(s):  
C. Q. Geng ◽  
Y. K. Hsiao ◽  
Chia-Wei Liu ◽  
Tien-Hsueh Tsai
Keyword(s):  
Flavor Symmetry ◽  
Charmed Baryon ◽  
Three Body

scholarly journals Chiral dynamics and S-wave contributions in $${\bar{B}}^0/D^0 \rightarrow \pi ^{\pm }\eta \ l^{\mp } \nu $$ decays

2021 ◽  
Vol 81 (5) ◽  
Author(s):  
Yu-Ji Shi ◽  
Ulf-G. Meißner
Keyword(s):  
Light Cone ◽  
Final State Interaction ◽  
Branching Fraction ◽  
Finite Width ◽  
S Wave ◽  
Scalar Form Factor ◽  
Final State ◽  
Scalar Form ◽  
Leptonic Decays ◽  
Three Body

AbstractIn this work, we analyze the semi-leptonic decays $$\bar{B}^0/D^0 \rightarrow (a_0(980)^{\pm }\rightarrow \pi ^{\pm }\eta ) l^{\mp } \nu $$ B ¯ 0 / D 0 → ( a 0 ( 980 ) ± → π ± η ) l ∓ ν within light-cone sum rules. The two and three-body light-cone distribution amplitudes (LCDAs) of the B meson and the only available two-body LCDA of the D meson are used. To include the finite-width effect of the $$a_0(980)$$ a 0 ( 980 ) , we use a scalar form factor to describe the final-state interaction between the $$\pi \eta $$ π η mesons, which was previously calculated within unitarized Chiral Perturbation Theory. The result for the decay branching fraction of the $$D^0$$ D 0 decay is in good agreement with that measured by the BESIII Collaboration, while the branching fraction of the $${\bar{B}}^0$$ B ¯ 0 decay can be tested in future experiments.

scholarly journals Decay amplitudes to three hadrons from finite-volume matrix elements

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Maxwell T. Hansen ◽  
Fernando Romero-López ◽  
Stephen R. Sharpe
Keyword(s):  
Finite Volume ◽  
Decay Amplitude ◽  
Weak Decay ◽  
Matrix Elements ◽  
Isospin Breaking ◽  
Final State ◽  
Identical Particles ◽  
Hadron Decay ◽  
Finite State ◽  
Particle Decays

Abstract We derive relations between finite-volume matrix elements and infinite-volume decay amplitudes, for processes with three spinless, degenerate and either identical or non-identical particles in the final state. This generalizes the Lellouch-Lüscher relation for two-particle decays and provides a strategy for extracting three-hadron decay amplitudes using lattice QCD. Unlike for two particles, even in the simplest approximation, one must solve integral equations to obtain the physical decay amplitude, a consequence of the nontrivial finite-state interactions. We first derive the result in a simplified theory with three identical particles, and then present the generalizations needed to study phenomenologically relevant three-pion decays. The specific processes we discuss are the CP-violating K → 3π weak decay, the isospin-breaking η → 3π QCD transition, and the electromagnetic γ* → 3π amplitudes that enter the calculation of the hadronic vacuum polarization contribution to muonic g − 2.

scholarly journals Charmed baryon weak decays with SU(3) flavor symmetry

2017 ◽  
Vol 2017 (11) ◽  
Author(s):  
C. Q. Geng ◽  
Y. K. Hsiao ◽  
Chia-Wei Liu ◽  
Tien-Hsueh Tsai
Keyword(s):  
Flavor Symmetry ◽  
Charmed Baryon ◽  
Weak Decays

CHARMFUL BARYONIC $B\, \to \,{\rm{B\bar B}}'M_{c}$ DECAYS

2009 ◽  
Vol 24 (18n19) ◽  
pp. 3638-3644 ◽  
Author(s):  
YU-KUO HSIAO
Keyword(s):  
Branching Fraction ◽  
B Decays ◽  
Final State ◽  
Three Body

We study the charmful three-body baryonic B decays with D(*) or J/Ψ in the final state. We explain the measured rates of [Formula: see text], [Formula: see text], and [Formula: see text]. In particular, the branching fraction of [Formula: see text] predicted to be of order 2.3 × 10-6 is in accordance with the Belle measurement, [Formula: see text].

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