Study the molecular nature of 
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, 
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, and 
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Ahmed, H.; Xiao, C. W.

doi:10.1103/physrevd.101.094034

Cited by 28 publications

(19 citation statements)

References 89 publications

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“…However, as found in Ref. [68], for the bound state of the KK channel, one should decrease the cutoff to move the pole of the f 0 (980) state to higher energy when the ηη channel is included, which will lead to the width of the pole decrease, see the solid (red) line of Fig. 7 and more discussions in Ref.…”

Section: Resultssupporting

confidence: 51%

“…7 and more discussions in Ref. [68]. This is why the peak of the f 0 (980) state become narrow when we add the coupled channel of ηη, which is different from the interference effects in the case of narrow σ state in the J/ψ → ppπ + π − decay [87] and the J/ψ → ωππ decay [88].…”

Section: Resultsmentioning

confidence: 95%

“…where one can see that there are only KK and ηη produced in the B 0 s decay, which is different from the one of B 0 decay having the other products (ππ for example) too. As we have known from the ChUA [47,68], the f 0 (980) state is bound by the KK component, whereas, the f 0 (500) resonance is mainly contributed from the ππ channel. Thus, one can expect that these two states have different contributions for the B 0 and B 0 s decays (see our results later).…”

Section: The Model For Scalar Meson Productionmentioning

confidence: 98%

“…[47,61], the states of f 0 (500) (or called as σ state), f 0 (980), and a 0 (980) were dynamically reproduced in the coupled channel interaction via the potentials derived from the lowest order chiral Lagrangian [62,63]. Recently, based on the ChUA (more applications about the ChUA can be found in recent reviews [64][65][66][67]), the work of [68] made a further investigation on the different properties of these states, f 0 (500), f 0 (980), and a 0 (980) in details, where the couplings, the compositeness, the wave functions, and the radii were calculated to reveal their nature.…”

Section: Introductionmentioning

confidence: 99%

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Study the $$B^{0}_{(s)}$$ decays into $$\phi $$ and a scalar or vector meson

et al. 2021

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In the present work, we investigate the decays of $$B^{0}_{(s)} \rightarrow \phi \pi ^{+}\pi ^{-}$$ B ( s ) 0 → ϕ π + π - with the final state interaction based on the chiral unitary approach. In the final state interaction of the $$\pi ^+\pi ^-$$ π + π - with its coupled channels, we study the effects of the $$\eta \eta $$ η η channel in the two-body interaction for the reproduction of the $$f_{0}(980)$$ f 0 ( 980 ) state, where its contribution to the $$f_{0}(980)$$ f 0 ( 980 ) state can be ignored. Our results for the $$\pi ^+\pi ^-$$ π + π - invariant mass distributions of the decay $$B^{0}_{s} \rightarrow \phi \pi ^{+}\pi ^{-}$$ B s 0 → ϕ π + π - describe the experimental data up to 1 GeV well, with the resonance contributions from the $$f_{0}(980)$$ f 0 ( 980 ) and $$\rho $$ ρ . For the predicted invariant mass distributions of the $$B^{0} \rightarrow \phi \pi ^{+}\pi ^{-}$$ B 0 → ϕ π + π - decay, we find that the contributions from the $$f_{0}(500)$$ f 0 ( 500 ) are significant, but not from the $$f_{0}(980)$$ f 0 ( 980 ) state. With some experimental branching ratios to determine the production vertex factors, we make predictions for the branching ratios of the other decay channels, including the vector mesons, in the $$B^0_{(s)}$$ B ( s ) 0 decays, some of which are consistent with the experimental measurements within the uncertainties.

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Section: Resultssupporting

confidence: 51%

Section: Resultsmentioning

confidence: 95%

Section: The Model For Scalar Meson Productionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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Study the $$B^{0}_{(s)}$$ decays into $$\phi $$ and a scalar or vector meson

et al. 2021

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“…where m 1 and m 2 are the masses of the two mesons involved in the loop of the ith channel, and P is the four-momentum of the two mesons. The function G i is logarithmically divergent, there are two methods to solve this singular integral, either using the three-momentum cut-off method [10,12,29], or the dimensional regularization method [33,[35][36][37][38][39]. The choice of a particular regularization scheme does not, of course, affect our argumentation [33,34].…”

Section: Formalismmentioning

confidence: 99%

Role of scalar $$a_0(980)$$ in the single Cabibbo suppressed process $$D^+ \rightarrow \pi ^{+} \pi ^{0} \eta $$

Duan

Wang

et al. 2020

Eur. Phys. J. C

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Taking into account that the scalar $$a_0(980)$$ a 0 ( 980 ) can be dynamically generated from the pseudoscalar-pseudoscalar interaction within the chiral unitary approach, we have studied the single Cabibbo suppressed process $$D^+\rightarrow \pi ^+\pi ^0\eta $$ D + → π + π 0 η . We find clear peaks of $$a_0(980)^+$$ a 0 ( 980 ) + and $$a_0(980)^0$$ a 0 ( 980 ) 0 in the $$\pi ^+\eta $$ π + η and $$\pi ^0\eta $$ π 0 η invariant mass distributions, respectively. The predicted Dalitz plots of $$D^+\rightarrow \pi ^+\pi ^0\eta $$ D + → π + π 0 η also manifest the significant signals for $$a_0(980)^+$$ a 0 ( 980 ) + and $$a_0(980)^0$$ a 0 ( 980 ) 0 states. The uncertainties of the results due to the free parameters are also discussed. Our study shows that the process $$D^+\rightarrow \pi ^+\pi ^0\eta $$ D + → π + π 0 η can be used to explore the nature of the scalar $$a_0(980)$$ a 0 ( 980 ) , thus we encourage the experimental physicists to measure this reaction with more precision.

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