We investigate the formation of resonances in the P33 partial wave with the emphasis on possible emergence of dynamically generated quasi-bound states as a consequence of a strong $p$-wave pion attractive interaction in this partial wave, as well as their possible interaction with the genuine quark excited states. By using the Laurent-Pietarinen expansion we follow the evolution of the $S$-matrix poles in the complex energy plane as a function of the interaction strength. Already without introducing a genuine quark resonant state, two physically interesting resonances emerge with pole masses around 1200 MeV and 1400 MeV, with the dominant $πN$ and $πΔ$ component, respectively. The added genuine resonant state in the $(1s)^3$ quark configuration mixes with the lower dynamically generated resonance forming the physical $Δ(1232)$ resonance, and pushes the second dynamical resonance to around 1500 MeV, which allows it to be identified with the $Δ(1600)$ resonance. Adding a second resonant state with one quark promoted to the $2s$ orbit generates another pole whose evolution remains well separated from the lower two poles. We calculate the helicity amplitudes at the pole and suggest that their $Q^2$ dependence could be a decisive test to discriminate between different models of the $Δ(1600)$ resonance.
Recent developments in hadron spectroscopy triggers the discussion on various exotic configurations beyond the simple three-quark state for baryons and quark-anti-quark pair for mesons. In particular, the states observed near a two-hadron threshold are often regarded as candidates of hadronic molecules, which are made of constituent hadrons and dynamically generated by the hadronic interactions. However, identification of the hadronic molecules involves several subtle difficulties which are often overlooked or underestimated. Here we summarize these subtleties and present a promising approach …
In this work we study the strong decays of $ϕ(2170)$ to final states involving the kaonic resonances $K(1460)$, $K_1(1270)$ and $K_1(1400)$, on which experimental data have recently been extracted by the BESIII Collaboration. The formalism developed here is based on interpreting $ϕ(2170)$ and $K(1460)$ as states arising from three-hadron dynamics, which is inspired by our earlier works. For $K_1(1270)$ and $K_1(1400)$ we investigate different descriptions, such as a mixture of states belonging to the nonet of axial resonances, or the former one as a state originating from the vector-pseudoscal…
Partial-Wave Amplitudes and Resonances in pbar + p -> pi + pi
用一种结合了解析性和交叉对称性的理论约束的方法,从pbar + p -> pi + pi上的精确数据中提取了分波振幅。所得解给出了与湮灭数据的良好拟合,并且也与交叉通道pi + N -> pi + N中的丰富信息一致。分波振幅显示了J < 6的所有分波共振的证据,其中至少有一个J = 0+态(可能还有另一个J = 1-态)不太可能具有简单的夸克-反夸克结构。
In high energy collisions, a dense, strongly interacting medium could be created, the quark gluon plasma. In rapid expansion, from the soup of quarks and gluons a gas of resonance and stable particles is formed at the chemical freeze-out and after that, as the system cools down, the kinetic freeze-out takes place and interaction between particles ceases. By measuring resonance ratios one could get information about the dominant physical processes in the intermediate temperature ranges, i.e. between the chemical and kinetic freeze-out. These quantities are measured at RHIC and LHC energies. In …
The dynamics of the $J^{PC}=0^{-+}$, $0^{++}$, and $2^{++}$ resonance contributions to the decay $J/ψ\toγX(J^{PC})\toγϕϕ$ is analysed using the data obtained by BESIII collaboration. The effective coupling constants parameterising invariant amplitudes of the transitions $J/ψ\toγX(J^{PC})$ and $X(J^{PC})\toϕϕ$ and masses of $X(J^{PC})$ resonances are found from the fits. They are used for evaluation of the branching fractions $B_{X(J^{PC})\toϕϕ}$, relative branching fractions $B_{J/ψ\toγX(J^{PC})\toγϕϕ}$, and for obtaining the photon angular distributions.
Determination of hadronic partial widths for scalar-isoscalar resonances f0(980), f0(1300), f0(1500), f_0(1750) and the broad state f0(1530^{+90}_{-250})
在V. V. Anisovich等人的文章中,Yad.菲兹63,1489(2000)中,在450 - 1900 MeV质量区得到了波IJ^{PC}=00^{++}的K矩阵解,其中四个共振态f0(980),f0(1300),f0(1500),f0(1750)和宽态f0(1530^{+90}-250})。基于这些解,我们确定了衰变到通道pi-pi,K-anti K,eta-eta,eta-eta ',pi-pi-pi-pi中的标量-等密度态的部分宽度以及相应的衰变耦合。
We study dynamically generated $a_0$ resonances by interactions between vector mesons including their coupling to channels of pseudoscalar mesons within coupled-channel approach. Both vector and pseudoscalar mesons are considered as $t$-channel exchanged mesons for calculating interactions between vector mesons. Analogous to $a_0(980)$ as a $K\bar K-πη$ dynamically generated state, there is an $a_0(1710)$ as a coupled channel dynamically generated state near $K^*\bar{K}^*$ threshold. The channels involved are $ρϕ,K^*\bar{K}^*,ρω, K\bar{K},πη$. This $a_0$ mainly decays to $ρω$, $πη$ and $K\bar{…
The $ρρ$ interaction and the corresponding dynamically generated bound states are revisited. We demonstrate that an improved unitarization method is necessary to study the pole structures of amplitudes outside the near-threshold region. In this work, we extend the study of the covariant $ρρ$ scattering in a unitarized chiral theory to the $S$-wave interactions for the whole vector-meson nonet. We demonstrate that there are unphysical left-hand cuts in the on-shell factorization approach of the Bethe-Salpeter equation. This is in conflict with the correct analytic behavior and makes the so-obta…
Pomeron resonances in AdS/QCD are here studied using the configurational entropy (CE). The concept of CE Regge trajectories, associating the CE of the pomeron resonances with both their spin $J^{PC}$ and to their mass spectra, is used to derive the mass spectra of higher $J^{PC}$ pomeron resonances. For it, the linear, the exponential modified and the anomalous quadratic dilatonic models, each one with linear and logarithmic anomalous corrections, are employed. Several methods are implemented, hybridizing AdS/QCD and established data of lattice QCD.
Femtoscopic correlation functions for general partial waves: Application to the $Λ(1520)$ resonance
Institute of Modern Physics, Chinese Academy of Sciences(中国科学院近代物理研究所);University of Chinese Academy of Sciences(中国科学院大学);Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences(中国科学院近代物理研究所南方核科学理论中心)