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Register a new user$chi_{c1}$ decays into a pseudoscalar meson and a vector-vector molecule
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We evaluate ratios of the $chi_{c1}$ decay rates to $eta$ ($eta, K^-$) and one of the $f_0(1370)$, $f_0(1710)$, $f_2(1270)$, $f_2(1525)$, $K^{*}_2(1430)$ resonances, which in the local hidden gauge approach are dynamically generated from the vector-vector interaction. With the simple assumption that the $chi_{c1}$ is a singlet of SU(3), and the input from the study of these resonances as vector-vector molecular states, we describe the experimental ratio $mathcal{B}(chi_{c1} rightarrow eta f_2(1270))/ mathcal{B}(chi_{c1} rightarrow eta f_2(1525))$ and make predictions for six more ratios that can be tested in future experiments.
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Decays of $chi_{c1}$ to vector meson pairs $phiphi$, $omegaomega$ and $omegaphi$ are observed for the first time using $(106pm4)times 10^6$ $psip$ events accumulated at the BESIII detector at the BEPCII $e^+e^-$ collider. The branching fractions are measured to be $(4.4pm 0.3pm 0.5)times 10^{-4}$, $(6.0pm 0.3pm 0.7)times 10^{-4}$, and $(2.2pm 0.6pm 0.2)times 10^{-5}$, for $chi_{c1}to phiphi$, $omegaomega$, and $omegaphi$, respectively. The observation of $chi_{c1}$ decays into a pair of vector mesons $phiphi$, $omegaomega$ and $omegaphi$ indicates that the hadron helicity selection rule is significantly violated in $chi_{cJ}$ decays. In addition, the measurement of $chi_{cJ}to omegaphi$ gives the rate of doubly OZI-suppressed decay. Branching fractions for $chi_{c0}$ and $chi_{c2}$ decays into other vector meson pairs are also measured with improved precision.
In the present work, we investigate the decays of $B^{0}_{s} rightarrow phipi^{+}pi^{-}$ and $B^{0} rightarrow phipi^{+}pi^{-}$ with the final state interactions based on the chiral unitary approach. In the final state interactions of the $pi^+pi^-$ with its coupled channels, we study the effects of the $etaeta$ channel in the two-body interactions for the reproduction of the $f_{0}(980)$ state. Our results for the $pi^+pi^-$ invariant mass distributions of the decay $B^{0}_{s} rightarrow phipi^{+}pi^{-}$ describe the experimental data up to 1 GeV well, with the resonance contributions from the $f_{0}(980)$ and $rho$. For the predicted invariant mass distributions of the $B^{0} rightarrow phipi^{+}pi^{-}$ decay, we found that the contributions from the $f_{0}(500)$ are significant except for the ones from the $f_{0}(980)$ state. With some experimental branching ratios as input to determine the production vertex factors, we make some predictions for the branching ratios of the other final decay channels, including the vector mesons, in the $B^0_{(s)}$ decays, where some of them are consistent with the experimental ones within the uncertainties.
We have addressed the study of non-leptonic weak decays of heavy hadrons ($Lambda_b, Lambda_c, B$ and $D$), with external and internal emission to give two final hadrons, taking into account the spin-angular momentum structure of the mesons and baryons produced. A detailed angular momentum formulation is developed which leads to easy final formulas. By means of them we have made predictions for a large amount of reactions, up to a global factor, common to many of them, that we take from some particular data. Comparing the theoretical predictions with the experimental data, the agreement found is quite good in general and the discrepancies should give valuable information on intrinsic form factors, independent of the spin structure studied here. The formulas obtained are also useful in order to evaluate meson-meson or meson-baryon loops, for instance of $B$ decays, in which one has PP, PV, VP or VV intermediate states, with P for pseudoscalar mesons and V for vector meson and lay the grounds for studies of decays into three final particles.
Mass dependences of the total production rates per hadronic Z decay of all light-flavour hadrons measured so far at LEP are extrapolated to the zero mass limit (m=0) using phenomenological laws of hadron production related to the spin, isospin, strangeness content and mass of the particles. The vector-to-pseudoscalar and meson-to-baryon ratios at m=0 are found to be: rho^+ / 3 pi^+ = 1.2 +/- 0.3 and pi^+ / p = 2.9 +/- 0.3, in good agreement with the predictions of quark combinatorics.
A complete study of the angular distributions of the processes, $Lambda_b to {Lambda} V(1^-)$, with $Lambda to p {pi}^-$ and $V (J/{Psi}) to {ell}^+ {ell}^-$ or $V ({rho}^0,omega) to {pi}^+ {pi}^-,$ is performed. Emphasis is put on the initial $Lambda_b$ polarization produced in the proton-proton collisions. The polarization density-matrices as well as angular distributions are derived and help to construct T-odd observables which allow us to perform tests of both Time-Reversal and CP violation.
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