Approximate heavy-quark spin and flavor symmetry and chiral symmetry play an important role in our understanding of the nonperturbative regime of strong interactions. In this work, utilizing the unitarized chiral perturbation theory, we explore the consequences of these symmetries in the description of the interactions between the ground-state singly charmed (bottom) baryons and the pseudo-Nambu-Goldstone bosons. In particular, at leading order in the chiral expansion, by fixing the only parameter in the theory to reproduce the Λ b (5912) [Λ * b (5920)] or the Λ c (2595) [Λ * c (2625)], we predict a number of dynamically generated states, which are contrasted with those of other approaches and available experimental data. In anticipation of future lattice QCD simulations, we calculate the corresponding scattering lengths and compare them to the existing predictions from a O(p 3 ) chiral perturbation theory study. In addition, we estimate the effects of the next-to-leading-order potentials by adopting heavy-meson Lagrangians and fixing the relevant low-energy constants using either symmetry or naturalness arguments. It is shown that higher-order potentials play a relatively important role in many channels, indicating that further studies are needed once more experimental or lattice QCD data become available.In recent years, heavy-flavor hadron physics has yielded many surprising results and attracted a lot of attention due to intensive worldwide experimental activities, such as BABAR [1], Belle [2, 3], CLEO [4], BES [5], LHCb [6], and CDF [7]. The discoveries and confirmations of the many XY Z particles have established the existence of exotic mesons made of four quarks, such as the Z c (3900) [8,9] and the Z(4430) [10,11], and aroused great interest in the theoretical and lattice QCD community to understand their nature, though no consensus has been reached yet (see, e.g.,Ref.[12]).Different from the case of heavy-meson states, no similar exotic states have been firmly established in the heavy-flavor baryon sector, partly due to the fact that their production is more difficult. Up to now, there have only been a few experimental observations of excited charmed and bottom baryons (see Ref. [13] for a recent and comprehensive review). In the bottom baryon sector, the LHCb Collaboration has reported two excited Λ b states, the Λ b (5912) and the Λ b (5920) [14], with the latter being recently confirmed by the CDF Collaboration [15]. In the charmed baryon sector, a number of excited states have been confirmed by various experiments, including the Λ c (2595), the Ξ c (2790), the Λ c (2625), and the Ξ c (2815) [16]. The spin parities of the first two states and the last two states are assumed to be 1/2 − and 3/2 − , respectively, according to quark model predictions.The conventional picture is that these states are the orbital excitations of the corresponding ground states. There are, however, different interpretations; namely, they are dynamically generated states from the interactions between the ground-state charmed ...
We study theKΞ decay mode of the newly observed Ωð2012Þ assuming that the Ωð2012Þ is a dynamically generated state with spin parity J P ¼ 3=2 − from the coupled channel S-wave interactions of KΞð1530Þ and ηΩ. In addition, we calculate its three-body decay width into KπΞ. It is shown that the so-obtained total decay width is in fair agreement with the experimental data. We compare our results with those of other recent studies and highlight the differences among them.
We revisit the information on the two lightest $$a_0$$a0 resonances and S-wave $$\pi \eta $$πη scattering that can be extracted from photon–photon scattering experiments. For this purpose we construct a model for the S-wave photon–photon amplitudes which satisfies analyticity properties, two-channel unitarity and obeys the soft photon as well as the soft pion constraints. The underlying I=1 hadronic T-matrix involves six phenomenological parameters and is able to account for two resonances below 1.5 GeV. We perform a combined fit of the $$\gamma \gamma \rightarrow \pi \eta $$γγ→πη and $$\gamma \gamma \rightarrow K_SK_S$$γγ→KSKS high statistics experimental data from the Belle collaboration. Minimisation of the $$\chi ^2$$χ2 is found to have two distinct solutions with approximately equal $$\chi ^2$$χ2. One of these exhibits a light and narrow excited $$a_0$$a0 resonance analogous to the one found in the Belle analysis. This however requires a peculiar coincidence between the $$J=0$$J=0 and $$J=2$$J=2 resonance effects which is likely to be unphysical. In both solutions the $$a_0(980)$$a0(980) resonance appears as a pole on the second Riemann sheet. The location of this pole in the physical solution is determined to be $$m-i\varGamma /2=1000.7^{+12.9}_{-0.7} -i\,36.6^{+12.7}_{-2.6}$$m-iΓ/2=1000.7-0.7+12.9-i36.6-2.6+12.7 MeV. The solutions are also compared to experimental data in the kinematical region of the decay $$\eta \rightarrow \pi ^0\gamma \gamma $$η→π0γγ. In this region an isospin violating contribution associated with $${\pi ^+}{\pi ^-}$$π+π- rescattering must be added for which we provide a dispersive evaluation.
Lately, the LHCb Collaboration reported the discovery of two new states in the $$B^+\rightarrow D^+D^- K^+$$ B + → D + D - K + decay, i.e., $$X_0(2866)$$ X 0 ( 2866 ) and $$X_1(2904)$$ X 1 ( 2904 ) . In the present work, we study whether these states can be understood as $${\bar{D}}^*K^*$$ D ¯ ∗ K ∗ molecules from the perspective of their two-body strong decays into $$D^-K^+$$ D - K + via triangle diagrams and three-body decays into $${\bar{D}}^*K\pi $$ D ¯ ∗ K π . The coupling of the two states to $${\bar{D}}^*K^*$$ D ¯ ∗ K ∗ are determined from the Weinberg compositeness condition, while the other relevant couplings are well known. The obtained strong decay width for the $$X_0(2866)$$ X 0 ( 2866 ) state, in marginal agreement with the experimental value within the uncertainty of the model, hints at a large $${\bar{D}}^*K^*$$ D ¯ ∗ K ∗ component in its wave function. On the other hand, the strong decay width for the $$X_1(2904)$$ X 1 ( 2904 ) state, much smaller than its experimental counterpart, effectively rules out its assignment as a $${\bar{D}}^*K^*$$ D ¯ ∗ K ∗ molecule.
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