Within the effective Lagrangian approach, we study the $p\bar{p} \rightarrow ψη$ [$ψ\equivψ(3686)$, $J/ψ$] reaction at the low energy where the contributions from nucleon pole and low-lying nucleon resonances, $N(1520)$, $N(1535)$ and $N(1650)$ are considered. All the model parameters are determined with the help of current experimental data on the decay of $ψ\to p \bar{p} η$. Within the model parameters, the total and differential cross sections of the $p\bar{p} \rightarrow ψη$ reaction are predicted. We show that the relative phases between different amplitudes of different nucleon resonance will change significantly the angular distributions of the $\bar{p} p \to ψη$ reaction. Therefore, we conclude that these reactions are suitable to study experimentally the properties of the low-lying nucleon resonance and the reaction mechanisms. We hope that these theoretical calculations can be tested by future experiments.
We have calculated coupling constants of a neutral pion with the lowest two nucleon resonances. This includes both the diagonal as well as non-diagonal coupling constants involving a nucleon resonance and a nucleon. For this, we first calculate vacuum-to-pion correlation function of the interpolating fields of two nucleons and then take its matrix elements with respect to a nucleon spinor and/or a nucleon resonance spinor(s). Using different QCD sum rules obtained from different matrix elements we eliminate unwanted coupling constants and solve for the desired ones. This is a simple extension …
In this work, we adopt the $^3P_0$ model to investigate the strong decays of the low-lying doubly bottom baryons in the $j-j$ coupling scheme systematically. In this scheme, we construct the formulism of $^3P_0$ model under the spectator assumption, and then the heavy diquark symmetry is preserved automatically. Our results show that some of the $λ$-mode $Ξ_{bb}(1P)$ and $Ω_{bb}(1P)$ states are narrow, which have good potentials to be observed by future experiments. For the low-lying $ρ$-mode and $ρ$-$λ$ hybrid states, the Okubo-Zweig-Iizuka-allowed strong decays are highly suppressed and they…
In this work, the strong decay behaviors of the $λ-$mode low-lying $Ξ_{b}$ and $Ξ_{b}^\prime$ baryons are investigated within the $^3P_0$ model. Our results suggest that all of the low-lying $\bar 3_F$ states $Ξ_b(2S)$, $Ξ_b(1P)$, and $Ξ_b(1D)$ have small decay widths of less than 20 MeV, and these states have good potentials to be observed in the $Ξ_b^\prime π$ and $Ξ_b^{\prime *} π$ invariant masses. Further, most of the $6_F$ multiplets are relatively narrow and may decay into the $Ξ_b π$, $Ξ_b^\prime π$, $Ξ_b^{\prime *} π$, and $Λ_b \bar K$ final states. Considering the masses and strong d…
We study the magnetic moments of the octet, decuplet, low-lying charm, and low-lying bottom baryons with nonzero light quarks in symmetric nuclear matter using the quark-meson coupling (QMC) model, which satisfies the constraint for the allowed maximum change (swelling) of the in-medium nucleon size derived from the $y$-scaling data for $^3$He$(e,e')$ and $^{56}$Fe$(e,e')$. The present QMC model also satisfies the expected allowed maximum enhancement of the nucleon magnetic moments in nuclear matter. Moreover, it has been proven that the calculated in-medium to free proton electromagnetic form…
We have calculated the axial-vector form factors of the low lying octet baryons ($N$, $Σ$, $Ξ$ and $Λ$) in the chiral constituent quark model ($χ$CQM). In particular, we have studied the implications of chiral symmetry breaking and SU(3) symmetry breaking for the singlet ($g^0_{A}$) and non-singlet ($g^3_{A}$ and $g^8_{A}$) axial-vector coupling constants expressed as combinations of the spin polarizations at zero momentum transfer. The conventional dipole form of parametrization has been used to analyse the $Q^2$ dependence of the axial-vector form factors ($G^0_{A}(Q^2)$, $G^3_{A}(Q^2)$ and …
The origin of the low-lying nature of the $N$*(1440), or Roper resonance, has been the subject of significant interest for many years, including several investigations using lattice QCD. The majority of lattice studies have not observed a low-lying excited state energy level in the region of the Roper resonance. However, it has been claimed that chiral symmetry could play an important role in our understanding of this resonance. The purpose of this study is to systematically examine the role of chiral symmetry in the low-lying nucleon spectrum by directly comparing the clover and overlap fermi…
The recently proposed $N^*(890)$ $1/2^-$ baryon is studied in a flavor $SU(3)$ scheme with $K$ matrix unitarization, by fitting to low energy cross section and phase shift data. It is found that $N^*(890)$ co-exists with low lying poles in other channels, which have been extensively discussed in the literature, though they belong to different octets, in the $SU(3)$ limit. Hence the existence of $N^*(890)$ is further verified.
Excited state mass spectra of the low lying single charmed baryons with non strangeness have been calculated in a hypercentral approach. The six-dimensional hyperradial Schrödinger equation is solved by applying a simple variational method. We extend our scheme to predict the magnetic moments and the $ \frac{3}{2}^+ \rightarrow \frac{1}{2}^+ $ transition magnetic moments of $ Σ_{c} $ and $ Λ_{c} $ state baryons. A comparison of our results with the experimental data and predictions obtained in recent models is also presented.
In-medium properties of the low-lying baryons are studied in the quark-meson coupling (QMC) model, focusing on the $Σ_b$ and $Ξ_b$ baryons. It is predicted that the Lorentz-scalar effective mass of $Σ_b$ becomes smaller than that of $Ξ_b$ at moderate nuclear matter density, and as the density increases, namely, $m^*_{Σ_b} < m^*_{Ξ_b}$, although in vacuum $m_{Σ_b} > m_{Ξ_b}$. We also study the effects of the repulsive Lorentz-vector potentials on the excitation energies of these bottom baryons.
Here we investigate the decay patterns of the low-lying hidden strangeness nucleon resonances ($\equiv N_{s\bar{s}}$) to the strangeness channels by employing the chiral Lagrangian approach, where the $N_{s\bar{s}}$ states are treated as compact pentaquark states. The $S$-wave decays of these states to the $PB$ (pseudoscalar meson and baryon) and $VB$ (vector meson and baryon) channels are studied. According to the obtained masses and decay properties, we find four states, namely, $N_{s\bar{s}}(1874)$ with quantum numbers $I(J^{P})=1/2(1/2^{-})$, $N_{s\bar{s}}(1885)$ with $I(J^{P})=1/2(3/2^{-}…
We perform a systematical investigation of the possible deuteron-like bound states with configuration $Ξ_{cc}N (\bar{N})$, where $N(\bar{N})$ denotes the nucleon (anti-nucleon), in the framework of the one-boson-exchange-potential model. In the spin-triplet sector we take into account both the ${}^3S_1$ and ${}^3D_1$ channels due to non-vanishing tensor force. There exist several candidates of the loosely bound molecular states for the $Ξ_{cc}N$ and $Ξ_{cc}\bar{N}$ systems, which lie below the threshold of $Λ_cΛ_c$ or $Λ_c{\barΛ}_c$. We also investigate the possible loosely bound states with c…
We give a brief account of the Dyson-Schwinger and Faddeev-equation approach and its application to nucleon resonances and their transition form factors. We compare the three-body with the quark-diquark approach and present a quark-diquark calculation for the low-lying nucleon resonances including scalar, axialvector, pseudoscalar and vector diquarks. We also discuss the timelike structure of transition form factors and highlight the advantages of form factors over helicity amplitudes.
In-medium properties of the low-lying strange, charm, and bottom baryons in symmetric nuclear matter are studied in the quark-meson coupling (QMC) model. Results for the Lorentz-scalar effective masses, mean field potentials felt by the light quarks in the baryons, in-medium bag radii, and the lowest mode bag eigenvalues are presented for those calculated using the updated data. This study completes the in-medium properties of the low-lying baryons in symmetric nuclear matter in the QMC model, for the strange, charm and bottom baryons which contain one or two strange, one charm or one bottom q…
Vector meson production and nucleon resonance analysis in the Giessen coupled-channel model
我们提出了一个核子共振分析，同时考虑所有的π-和光子诱导的实验数据的最终状态$γN$，$πN$，$2πN$，$ηN$，$KΛ$，$KΣ$和$ωN$的能量从核子质量高达$\sqrt s = 2$ GeV。在这项分析中，我们发现了各种更高共振的有力证据，例如，$P_{13}(1900)$。$ωN$产生机制主要由大的$P_{11}(1710)$和$P_{13}(1900)$贡献决定。
A model for the $\bar K d \to πY N$ reactions with $Y=Λ, Σ$ is developed, aiming at establishing the low-lying $Λ$ and $Σ$ hyperon resonances through analyzing the forthcoming data from the J-PARC E31 experiment. The off-shell amplitudes generated from the dynamical coupled-channels (DCC) model, which was developed in Kamano et al. [Phys. Rev. C 90, 065204 (2014)], are used as input to the calculations of the elementary $\bar K N \to \bar K N$ and $\bar K N \to πY$ subprocesses in the $\bar K d \to πY N$ reactions. It is shown that the cross sections for the J-PARC E31 experiment with a rather…
Drawing on experimental data for baryon resonances, Hamiltonian effective field theory (HEFT) is used to predict the positions of the finite-volume energy levels to be observed in lattice QCD simulations. We have studied the low-lying baryons $N^*(1535)$, $N^*(1440)$, and $Λ(1405)$. In the initial analysis, the phenomenological parameters of the Hamiltonian model are constrained by experiment and the finite-volume eigenstate energies are a prediction of the model. The agreement between HEFT predictions and lattice QCD results obtained at finite volume is excellent. These lattice results also a…
Charged lepton induced one kaon production off the nucleon
本文研究了低能电子（正电子）（即$e^-(e^+) + N \rightarrow ν_e (\bar ν_e) + \bar K (K) + N^\prime$）诱导核子产生单个K介子的过程。考虑到奇异守恒电磁反应对$\bar K (K)$的产生具有较高的能量阈值，讨论了用TJNAF和美因茨的高光度光束观测这些过程的可能性。计算是使用微观模型，从SU（3）手征拉格朗日开始，包括背景项和共振机制相关联的最低躺共振$Σ^*(1385)$。
We study the deeply-virtual Compton scattering (DVCS) process $e^- N \to e^- γπN$ involving the transition between a nucleon and a nucleon resonance in the $πN$ system, within the framework of generalized parton distributions (GPDs). For the four lowest-lying nucleon resonances, $Δ(1232)$, $P_{11}(1440)$, $D_{13}(1520)$, and $S_{11}(1535)$, we express the DVCS amplitude in the Bjorken limit in terms of corresponding nucleon-to-resonance GPDs. Building upon the knowledge of the well studied electromagnetic nucleon-to-resonance transition form factors, which map the quark charge densities in tra…
Flavor Asymmetry of the Nucleon Sea and the Five-Quark Components of the Nucleons
核子中的内禀粲夸克存在五夸克Fock态，这一观点曾被提出过，但至今仍缺乏确凿的证据。我们推广了以前的理论方法的轻夸克部门和研究可能的实验签名，这样的五夸克态。特别地，我们比较了$\bar d - \bar u$和$\bar u + \bar d - s -\bar s$的数据与基于五夸克Fock态的计算。数据和计算之间的定性协议被解释为证据的存在的内禀轻夸克海的核子。还提取了$|uudu\bar{u}>$和$|uudd\bar{d}>$ Fock状态的概率。
In this talk, we report on two recent studies of relativistic nucleon-nucleon and hyperon-nucleon interactions in covariant chiral perturbation theory, where they are constructed up to leading order. The relevant unknown low energy constants are fixed by fitting to the nucleon-nucleon and hyperon-nucleon scattering data. It is shown that these interactions can describe the scattering data with a quality similar to their next-to-leading order non-relativistic counterparts. These studies show that it is technically feasible to construct relativist baryon-baryon interactions, and in addition, aft…
We systematically study the $S$-wave doubly charmed baryons using the method of QCD sum rules. Our results suggest that the $Ξ_{cc}^{++}$ recently observed by LHCb can be well identified as the $S$-wave $Ξ_{cc}$ state of $J^P = 1/2^+$. We study its relevant $Ω_{cc}$ state, whose mass is predicted to be around 3.7 GeV. We also systematically study the $P$-wave doubly charmed baryons, whose masses are predicted to be around 4.1 GeV. Especially, there can be several excited doubly charmed baryons in this energy region, and we suggest to search for them in order to study the fine structure of the …
我们推广了Brodsky { \it et al.}从核子中的内禀粲夸克分布到包含内禀$\bar u, \bar d, s$和$\bar s$海夸克的轻夸克扇区。我们将计算结果与现有的$\bar d - \bar u$、$s + \bar s$和$\bar u + \bar d - s -\bar s$数据进行比较。理论和实验数据之间的良好一致性被解释为核子中存在内禀轻夸克海的证据。还提取了$|uudu\bar{u}>$、$|uudd\bar{d}>$和$|uuds\bar{s}>$ Fock状态的概率。
A continuum approach to the three valence-quark bound-state problem in quantum field theory is used to perform a comparative study of the four lightest $(I=1/2,J^P = 1/2^\pm)$ baryon isospin-doublets in order to elucidate their structural similarities and differences. Such analyses predict the presence of nonpointlike, electromagnetically-active quark-quark (diquark) correlations within all baryons; and in these doublets, isoscalar-scalar, isovector-pseudovector, isoscalar-pseudoscalar, and vector diquarks can all play a role. In the two lightest $(1/2,1/2^+)$ doublets, however, scalar and pse…
The production of backward nucleons, $N(180^\circ)$, at $180^\circ$ in the nuclear target rest frame in proton-nucleus ($\mathrm{p}+A$) collisions is studied. The backward nucleons appearing outside of the kinematically allowed range of proton-nucleon ($\mathrm{p}+N$) reactions are shown to be due to secondary reactions of heavy baryonic resonances produced inside the nucleus. Baryonic resonances $R$ created in primary $\mathrm{p}+N$ reactions can change their masses and momenta due to successive collisions $R+N\rightarrow R +N $ with other nuclear nucleons. Two distinct mechanisms and kinemat…
The discovery of the $D^\ast_{s0}(2317)$ and $D_{s1}(2460)$ resonances in the charmed-strange meson spectra revealed that formerly successful constituent quark models lose predictability in the vicinity of two-meson thresholds. The emergence of non-negligible effects due to meson loops requires an explicit evaluation of the interplay between $Q\bar q$ and $(Q\bar q)(q\bar q)$ Fock components. In contrast to the $c\bar s$ sector, there is no experimental evidence of $J^P=0^+,1^+$ bottom-strange states yet. Motivated by recent lattice studies, in this work the heavy-quark partners of the $D_{s0}…
Extraction of Various Five-Quark Components of the Nucleons
我们推广了Brodsky { \it et al.}从核子中的内禀粲夸克分布到包含内禀$\bar u, \bar d, s$和$\bar s$海夸克的轻夸克扇区。我们将计算结果与现有的$\bar d - \bar u$、$s + \bar s$和$\bar u + \bar d - s -\bar s$数据进行比较。理论与实验数据的良好吻合使得我们可以提取质子中$|uudu\bar{u}>$、$|uudd\bar{d}>$和$|uuds\bar{s}>$五夸克Fock态的几率。在考虑了内禀夸克分布的QCD演化后，我们还计算了内禀粲的$x$依赖性。
We examine the phase shifts and inelasticities associated with the $N^*(1440)$ Roper resonance and connect these infinite-volume observables to the finite-volume spectrum of lattice QCD using Hamiltonian effective field theory. We explore three hypotheses for the structure of the Roper resonance. All three hypotheses are able to describe the scattering data well. In the third hypothesis the Roper resonance couples the low-lying bare basis-state component associated with the ground state nucleon with the virtual meson-baryon contributions. Here the non-trivial superpositions of the meson-baryon…
