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Wen-Hao Jia

Publications and source records attributed to Wen-Hao Jia.

6 recordsLinked to original sources

Interaction and correlation functions for $πf_1(1285)$, $ηf_1(1285)$

We have studied the interaction of $π^0 (η) f_1(1285)$ assuming the $f_1(1285)$ to be a molecular state of $K^* \bar K - \bar K^* K$. We use a framework in which a $π^0 (η) f_1(1285)$ optical potential is obtained, which is later used as the kernel of the Lippmann-Schwinger equation, following the standard method for the interaction of particles with nuclei. The optical potential is obtained using the fixed center approximation to the Faddeev equations, where a cluster, here the $f_1(1285)$, remains unchanged during the interaction, appropriate to the situation that one has here. We have obtained the scattering matrix for this system, the scattering length and effective range, plus the correlation functions. The framework used has been previously tested in the study of the $p f_1(1285)$ interaction and has been shown to give results in agreement with the recent experimental measurement of the $p f_1(1285)$ correlation function. On the other hand, from this interaction we do not obtain clear signals for the $π_1(1400)$ or $π_1(1600)$, nor for the $η_1(1855)$ resonances, which in other approaches have been claimed to arise from the same dynamics. We, however, obtain a structure in the $π^0 f_1(1285)$ amplitude around $1500-1600{\; \rm MeV}$ and a strong cusp at the $ηf_1(1285)$ threshold of $1833 {\; \rm MeV}$.

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Theoretical description of the $D^{+} \to \bar{K}^{0} π^{+} π^{0} π^{0}$ reaction

We study the $D^{+} \rightarrow \bar{K}^{0} π^{+} π^{0} π^{0}$ reaction, which shows two clear structures: the $\bar{K}^{*0}$ and $ρ^{+}$ in the $\bar{K}^{0} π^{0}$ and $π^{+} π^{0}$ mass distributions, respectively. The study is done starting from the quark level with external and internal emission and hadronizing a pair of quarks to produce a vector and two pseudoscalars. We also consider another mechanism, which does not require hadronization of quark pairs: the direct production of $\bar{K}^{*0}$ and $ρ^{+}$. With the help of six unknown parameters which are fitted to the data, we are able to get a very good agreement with experimental data for the $\bar{K}^{0} π^{0}$ and $π^{+} π^{0}$ mass distributions and a qualitative one for the rest of mass distributions which do not show any particular structure experimentally.

hep-ph↗

Scattering data and correlation function for the $K f_1(1285)$ interaction

We study the interaction of a kaon with the $f_1(1285)$ resonance, assuming that the $f_1(1285)$ is a molecular state generated by the $K \bar K^*, \bar K K^*$ interaction, evaluating the scattering amplitude, the scattering length and effective range of the $K f_1$ system. The scattering amplitude develops a resonant structure approximately \R{$56$ MeV} below the $K f_1$ threshold, with a width of around \R{$123$ MeV} MeV. The corresponding correlation function has the distinctive shape of a system with a bound state close to threshold. We also show that the interaction of the $K f_1$ system differs significantly from the one obtained assuming that the $f_1(1285)$ is an \R{ordinary, non-molecular,} particle. This provides motivation to continue the search for these observables, already initiated by the measurement of the $p f_1(1285)$ correlation function by the ALICE collaboration.

hep-ph↗

Correlation function and bound state from the $K D_{s0}^*(2317)$ interaction

In anticipation of the new wave of ALICE experiments on particle-resonance correlation functions, we study the interaction of a kaon with the $D_{s0}^*(2317)$ resonance. Assuming the $D_{s0}^*(2317)$ to be a $DK$ molecular state in isospin $I=0$, we employ the fixed center approximation (FCA) to describe the kaon scattering off the $DK$ cluster, and implement elastic unitarity in the $K D_{s0}^*(2317)$ amplitude via an optical potential and the Lippmann-Schwinger equation. We evaluate the scattering length, effective range, and correlation function, which exhibits a shape characteristic of a strongly attractive interaction. Notably, the amplitude develops a narrow resonant peak about 40~MeV below the $K D_{s0}^*(2317)$ threshold, signaling a three-body bound state. We discuss the experimental feasibility of observing this state through the invariant mass distribution of $K D_s^+ π^0$, and argue that such three-body states, predicted by various theoretical approaches, offer promising targets for future experimental searches, providing valuable insights into the nature of exotic hadronic resonances.

hep-ph↗

Superexotic $K^{*+}D^{*+}K^{*+}$ bound state

We study a system made from $K^{*+}D^{*+}K^{*+}$ with charge $3$, isospin $I=3/2$, spin $J=3$, and a quark content of $c\bar d \bar s u \bar s u$, which make it highly exotic relative to the standard $q\bar q$ structure of mesons. The interaction of the three body system is obtained starting from a cluster of $K^{*+}D^{*+}$ in $I=1$ and $J=2$, that in different works has been found bound, and adding to it an extra $K^{*+}$ with spin aligned with those of the vectors of the cluster. We find that the $K^* K^*$ interaction in $I=1$ and $J=2$ is repulsive, but its strength is small compared to that of $K^{*+}D^{*+}$ in $I=1$ and $J=2$, such that we find a three body state bound by about $100 \, \rm MeV$ with respect to the mass of a $K^{*+}$ and the $K^{*+} D^{*+}$ cluster. The width of the state, of about $10\, \rm MeV$, is much smaller than the binding, which facilitates its observation. We suggest to find that state by measuring the invariant mass of $K D K^*$, something feasible in present experimental facilities.

hep-ph↗

The role of the $f_0(1710)$ and $a_0(1710)$ resonances in the $D^0 \to ρ^0 ϕ$, $ωϕ$ decays

We study the $D^0 \to ρ^0 ϕ$, $ωϕ$ decays which proceed in a direct mode via internal emission with equal rates. Yet, the experimental branching ratio for the $ρ^0 ϕ$ mode is twice as big as that for the $ωϕ$ mode. We find a natural explanation based on the extra indirect mechanism where $K^{*+} K^{*-}$ is produced via external emission and that channel undergoes final state interaction with other vector--vector channels to lead to the $ρ^0 ϕ$, $ωϕ$ final states, with transition amplitudes dominated by the $a_0(1710)$ resonance, recently discovered, and $f_0(1710)$ respectively. The large coupling of the $a_0(1710)$ to the $ρ^0 ϕ$ channel is mostly responsible for this large ratio of the production rates.

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