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Ikeno, N., Liang, W. H., & Oset, E. (2024). Molecular nature of the Ωc(3120) and its analogy with the Ω(2012). Phys. Rev. D, 109(5), 054023–7pp.
Abstract: We make a study of the omega c(3120) , one of the five omega c states observed by the LHCb Collaboration, which is well reproduced as a molecular state from the Xi*cK over bar and omega*c17 channels mostly. The state with JP = 3/2- decays to Xi cK over bar in the D wave, and we include this decay channel in our approach, as well as the effect of the Xi*c width. With all these ingredients, we determine the fraction of the omega c(3120) width that goes into Xi cK over bar K , which could be a measure of the Xi*cK over bar molecular component, but due to a relatively big binding, compared to its analogous omega(2012) state, we find only a small fraction of about 3%, which makes this measurement difficult with present statistics. As an alternative, we evaluate the scattering length and effective range of the Xi*c K over bar and omega*c17 channels, which, together with the binding and width of the omega c(3120) state, could give us an answer to the issue of the compositeness of this state when these magnitudes are determined experimentally, something feasible nowadays, for instance, measuring correlation functions.
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Ikeno, N., Toledo, G., & Oset, E. (2023). Model independent analysis of femtoscopic correlation functions: An application to the D∗s0(2317). Phys. Lett. B, 847, 138281–6pp.
Abstract: We face the inverse problem of obtaining the interaction between coupled channels from the correlation functions of these channels. We apply the method to the interaction of the (DK+)-K-0, (D+K0), and D-s(+)eta channels, from where the D-s0(& lowast;)(2317) state emerges. We use synthetic data extracted from an interaction model based on the local hidden gauge approach and find that the inverse problem can determine the existence of a bound state of the system with a precision of about 20 MeV. At the same time, we can determine the isospin nature of the bound state and its compositeness in terms of the channels. Furthermore, we evaluate the scattering length and effective range of all three channels, as well as the couplings of the bound state found to all the components. Lastly, the size parameter of the source function, R, which in principle should be a magnitude provided by the experimental teams, can be obtained from a fit to the data with relatively high accuracy. These findings show the value of the correlation function to learn about the meson-meson interaction for systems which are difficult to access in other present facilities.
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Abreu, L. M., Ikeno, N., & Oset, E. (2023). Role of f0(980) and a0(980) in the B- → π-K+K- and B- → π-K0Kbar0 reactions. Phys. Rev. D, 108(1), 016007–9pp.
Abstract: In this work we study the role of the f(0)(980) and a(0)(980) resonances in the low K+K- and K-0(K) over bar (0) invariant-mass region of the B- -> pi-K+K- and B- -> pi K--(0)(K) over bar (0) reactions. The amplitudes are calculated by using the chiral unitary SU(3) formalism, in which these two resonances are dynamically generated from the unitary pseudoscalar-pseudoscalar coupled-channel approach. The amplitudes are then used as input in the evaluation of the mass distributions with respect to the K+K- and K-0(K) over bar (0) invariant masses, where the contributions coming from the I = 0 and I = 1 components are explicitly assessed. Furthermore, the contribution of the K*(892)K-0(-) production and its influence on the pi K--(+) and K+K- systems are also evaluated, showing that there is no significant strength for small K+K- invariant mass. Finally, the final distributions of M-inv(2) ((KK -/+)-K-+/-) for the B--/+ -> pi(KK -/+)-K--/+-K-+/- reactions are estimated and compared with the LHCb data. Our results indicate that the I = 0 component tied to the f(0)(980) excitation generates the dominant contribution in the range of low K+K- invariant mass.
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Ikeno, N., Bayar, M., & Oset, E. (2023). Molecular states of D*D*Kbar* nature. Phys. Rev. D, 107(3), 034006–12pp.
Abstract: We study the interaction of two D* and a over bar K* by using the fixed center approximation to the Faddeev equations to search for bound states of the three-body system. Since the D*D* interaction is attractive and gives a bound state, and so is the case of the D* over bar K* interaction, where the JP = 0+ bound state is identified with the X0(2900), the D*D* over bar K* system leads to manifestly exotic bound states with ccs open quarks. We obtain bound states of isospin I = 1=2, negative parity and total spin J = 0, 1, 2. For J = 0 we obtain one state, and for J = 1, 2 we obtain two states in each case. The binding energies range from 56 to 152 MeV and the widths from 80 to 100 MeV.
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Ikeno, N., Liang, W. H., Toledo, G., & Oset, E. (2022). Interpretation of the Omega(c) -> pi(+) Omega(2012) -> pi(+) ((K)over-bar Xi) relative to Omega(c) -> pi(+) (K)over-bar Xi from the Omega (2012) molecular perspective. Phys. Rev. D, 106(3), 034022–10pp.
Abstract: We present a mechanism for Omega(c) -> pi(+)Omega (2012) production through an external emission Cabibbo favored weak decay mode, where the Omega (2012) is dynamically generated from the interaction of (K) over bar Xi(*) (1530) and eta Omega, with (K) over bar Xi as the main decay channel. The Omega (2012) decays later to (K) over bar Xi. in this picture, with results compatible with Belle data. As a consequence, one can evaluate the direct decay Omega(0)(c) -> pi K-+(-)Xi(0) and the decay Omega(0)(c) -> pi(+)(K) over bar Xi* pi(+)eta Omega with direct couplings of (K) over bar Xi* and eta Omega to K-Xi(0). We show that, within uncertainties and using data from a recent Belle measurement, all three channels account for about (12-20)% of the total Omega(c) -> pi K-+(-)Xi(0) decay rate. The consistency of the molecular picture with all the data is established by showing that Omega(c) -> Xi(0)(K) over bar*(0) -> Xi K-0(-)pi(+) and Omega(c) -> pi(+)Omega* -> pi K-+(-Xi 0) account for about 85% of the total Omega(c) -> pi K-+(-)Xi(0).
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