矢量介子及其激发态的讨论

在Regge唯象下, 首先研究自旋-宇称多重态中六个介子质量间的关系式. 运用验证后的关系式, 重点计算基态矢量介子多重态(1³S₁)中尚未观测到的双重粲-底介子 B_c^*的质量. 还计算了径向激发态2³S₁多重态的介子质量和轨道激发态1³G₅介子九重态的质量. 根据计算结果结合实验数据和其他理论进行讨论, 建议在6355 MeV附近寻找和研究 B_c^*介子, 将 D(2600)和 D_s1(2700)分别作为主要成分为 nc(2³S₁)和 sc(2³S₁)的态进行研究; 分别在5812, 5917, 6896 MeV附近寻找矢量介子第一径向激发态 B^*(2S), B_s^*(2S)和 B_c^*(2S). 建议将 ω₅(2250)安排在1³G₅介子九重态的同位旋标量态, 实验上在2259 MeV附近进一步研究 ρ₅(2350)的性质, 在2438 MeV附近寻找和研究 φ₅(1³G₅). 研究结果对于相关介子的自旋-宇称安排和通过实 验寻找新的介子激发态具有重要的参考价值. 关键词： Regge唯象 矢量介子 质量谱     

对31S0介子九重态中ss成员的质量分析

利用雷吉轨迹理论和介子九重态质量混合公式两种方案，对3^１Ｓ_０介子九重态中同位旋标量态(主要是ss—成分)的质量给出预言，两种方案分别给出1853MeV和1849±1.2MeV.两种方案自洽的结果，将为实验上寻找该态的候选者提供帮助. 关键词： 雷吉轨迹 介子混合 同位旋标量态     

对31S0介子九重态中ss -成员的质量分析

利用雷吉轨迹理论和介子九重态质量混合公式两种方案,对31S0介子九重态中同位旋标量态(主要是ss -成分)的质量给出预言,两种方案分别给出1853MeV和1849±12MeV.两种方案自洽的结果,将为实验上寻找该态的候选者提供帮助.     

对23P2介子九重态中同位旋标量成员的质量分析

基于实验上已经确认的基态张量介子九重态的安排和现有的实验数据,利用从雷吉轨迹理论和质量混合矩阵推导出的介子质量关系,对张量介子第一径向激发态的安排做了分析预测.根据得到的结果,可以推测f₂（1810）和f₂（2010）可能作为张量介子第一径向激发态的候选者.同时给出了f₂（1810）和f₂（2010）作为张量介子第一径向激发态时的衰变信息.这些结论对激发态张量介子,特别是其中的同位旋标量态的安排将提供帮助.     

对3~1S_0介子九重态中s■成员的质量分析

利用雷吉轨迹理论和介子九重态质量混合公式两种方案,对31S0介子九重态中同位旋标量态(主要是ss—成分)的质量给出预言,两种方案分别给出1853MeV和1849±12MeV.两种方案自洽的结果,将为实验上寻找该态的候选者提供帮助.     

D介子衰变中的奇异轴矢介子(英文)

目前,奇异轴矢介子的性质并没有被很好地理解,而这类介子是可以在D介子衰变中得到更多的研究。将窄宽近似下的等式关系和强衰变中CP守恒应用到四体衰变D0 → K+K-π+π-中的D0 → K±K₁?（1270）（→ρK or K*π）的实验数据中,可以发现实验数据与理论存在矛盾,然而,当考虑更多K₁（1270）的衰变过程后,可以发现,B（D0 → K-K₁+（1270）（→ K*0π+））的实验数据很可能被高估了一个量级。考虑共振态K₁（1400）的贡献,利用因子化方法计算相应的衰变过程的分支比,可以发现,B（D0 → K-K₁+（1400）（→ K*0π+））的分支比与使用等式关系得到的B（D0 → K-K₁+（1270）（→ K*0π+））的分支比在量级上是相同的。另外,对于含有奇异轴矢介子的D介子衰变实验数据的合理性,实验可以通过测量K₁（1270）→ ρK和K*π分支比的比值来检验,或者通过验证D介子衰变中的等式关系来检验。     

J／ψ与ψ（2S）的轴矢—赝标介子衰变研究

北京谱仪合作组研究了粲夸克偶素J／ψ与ψ(2S)的末态为轴矢介子与赝标介子组合的准二体衰变,观察到若干与朴素理论预期明显分歧的异常表现,这些结果引起了国际理论界的兴趣,目前尚无令人信服的解释。     

关于标量介子的研究

基于a₀(980)和D^*_sJ(2317)属于1 ³P₀介子多重态这个主要假定, 在准线性Regge轨迹方案下估计了1 ³P₀介子多重态成员的质量. 在介子-介子混合的框架下,建议a₀(980), K^*₀(1052), f₀(1099)和f₀(530)组成基态标量介子九重态, 并且f₀(1099)主要由ss组成,而f₀(530)主要是uu+dd. 这些态可能分别对应已观察到的标量态a₀(980), κ(900), f₀(980)和f₀(600)/σ. 另外, 在胶球为主的图像下, 估计基态标量胶球的质量大约为1340MeV. 给出的结果与其他不同方法给出的结果是一致的.     

高能e+e－湮没末态η'–η介子多重数比率

本文分析了η-η＇混合角和L=1介子产生对本态η-η＇多重数比率的影响.计算结果表明,L=1介子的产生对比率影响很重要,考虑这一因素后就能得到与实验一致的多重数比率.     

Breit夸克势的不同次正规化与ηc-J/ψ等的质量劈裂

用夸克势模型研究结构相同而自旋和轨道量子数不同的介子之间质量劈裂是检验势模型有效性的重要手段之一. 在以往的用各种夸克势模型计算质量劈裂工作中, 当轻介子和重介子一起计算时, π-ρ很容易劈裂, 而η_c-J/ψ等的劈裂都很 难达到实验值. 这里首先用正规化形状因子μ²/(q²+μ²), 对完整的动量空间中的Breit夸克势的第三项实施二次正规化, 除了第一项 库仑势和第七项常数项势, 对其余的项实施一次正规化, 然后用来计算 质量劈裂. 研究计算发现, 只有当屏蔽质量μ取为关于 折合质量μ_r=m_r m_j/(m_r+m_j) 的三阶多项式时, 轻介子π-ρ和重介子η_c-J/ψ, η_b-Υ(1s), 还有χ_c0-χ_c1-χ_c2 等的劈裂 精确达到实验值, 同时其他介子质量也都比以往得到较大的改善. 因此, 本文给出了一个有效的夸克势模型.     

Regarding the axial-vector mesons

The implications of the f₁(1285)-f₁(1420) mixing for the K₁(³P₁)- K₁(¹P₁) mixing angle are investigated. Based on the f₁(1285)-f₁(1420) mixing angle ∼ 50^° suggested from the analysis for a substantial body of data concerning the f₁(1420) and f₁(1285), the masses of the K₁(³P₁) and K₁(¹P₁) are determined to be ∼ 1307.35±0.63 MeV and 1370.03±9.69 MeV, respectively, which therefore suggests that the K₁(³P₁)- K₁(¹P₁) mixing angle is about ±(59.55±2.81)^°. Also, it is found that the mass of the h^′₁(¹P₁) (mostly of sˉ) state is about 1495.18±8.82 MeV. Comparison of the predicted results and the available experimental information of the h₁(1380) shows that without further confirmation on the h₁(1380), the assignment of the h₁(1380) as the sˉ member of the ¹P₁ meson nonet may be premature.     

Towards the understanding of 11P1 meson mass spectrum

Based on the meson-meson mixing and Regge trajectory, this paper establishes the mass relations which can describe the mass spectrum of 1^1 P1 meson state. Using these mass relations, it obtains the mass of K1B, hi （1380） and hc（1P） to be 1358.5MeV, 1468 MeV and 3543.9 MeV, respectively. The results are compared with other theoretical results and should be tested by experiments in the future.     

The mixing of scalar mesons and the baryon-baryon interaction

By introducing the mixing of scalar mesons in the chiral SU(3) quark model, we dynamically investigate the baryon-baryon interaction. The hyperon-nucleon and nucleon-nucleon interactions are studied by solving the resonating group method (RGM) equation in a coupled-channel calculation. In our present work, the experimental lightest pseudoscalar p \pi, K,h \eta,h^￠ \eta^{{\prime}}_{} mesons correspond exactly to the chiral nonet pseudoscalar fields p \pi, K,h \eta,h^￠ \eta^{{\prime}}_{} in the chiral SU(3) quark model. The h \eta,h^￠ \eta^{{\prime}}_{} mesons are considered as the mixing of singlet and octet mesons, and the mixing angle q_ps \theta_{{ps}}^{} is taken to be -23^° . For scalar nonet mesons, we suppose that there exists a correspondence between the experimental lightest scalar f ₀(600) , k \kappa , a ₀(980) , f ₀(980) mesons and the theoretical scalar nonet s \sigma , k \kappa , s^￠ \sigma^{{\prime}}_{} , e \epsilon fields in the chiral SU(3) quark model. For scalar mesons, we consider two different mixing cases: one is the ideal mixing and another is the q_s \theta_{s}^{} = 19^° mixing. The masses of the s^￠ \sigma^{{\prime}}_{} and e \epsilon mesons are taken to be 980MeV, which are just the masses of the experimental a ₀(980) , f ₀(980) mesons. The mass of the s \sigma meson is an adjustable parameter and is decided by fitting the binding energy of the deuteron, the masses of 560MeV and 644MeV are obtained for the ideal mixing and the q_s \theta_{s}^{} = 19^° mixing, respectively. We find that, in order to reasonably describe the YN interactions, the mass of the k \kappa meson is near 780MeV for the ideal mixing. However, we must enhance the mass of the k \kappa meson for the q_s \theta_{s}^{} = 19^° mixing, the 1050MeV is favorably used in the present work. The experimental s \sigma and k \kappa scalar mesons are very strange, both have larger widths. Hence, no matter what kind of mixing is considered, all the masses of scalar mesons we used in the present work seem to be consistent with the present PDG information.     

Final state interactions in the parton model and massive lepton pair production

A scheme of assignments for the 0⁺ nonet is proposed with the S¹ (1000) effect corresponding to resonance poles both on Sheet II and Sheet III, and with the ? located somewhere above 1100 MeV, e.g. at 1300 MeV. A tentative fit of the decay characteristics of these and the other nonet condidates, δ(970) and κ(～1200) is achieved with the mixing angle given by cos²θ_S～ 0.13 instead of the ‘ideal’ value of $\text{2}\text{3}$.     

Study of X(5568) in a unitary coupled-channel approximation of BK and B_sπ

The potential of the B meson and the pseudoscalar meson is constructed up to the next-to-leading order Lagrangian, and then the BK and B_sπ interaction is studied in the unitary coupled-channel approximation. A resonant state with a mass about 5568 MeV and J~P= 0~+is generated dynamically, which can be associated with the X(5568) state announced by the D0 Collaboration recently. The mass and the decay width of this resonant state depend on the regularization scale in the dimensional regularization scheme, or the maximum momentum in the momentum cutoff regularization scheme. The scattering amplitude of the vector B meson and the pseudoscalar meson is calculated, and an axial-vector state with a mass near 5620 MeV and J~P= 1~+is produced. Their partners in the charm sector are also discussed.     

The relation between D and A1 axial-vector meson decays

We analyse the available information on the production and three-body decays of the D(1285) meson in an attempt to establish its relationship to the A₁(J^PC = 1⁺⁺) which mounting evidence suggests has a mass and width of 1100 and 250 MeV, respectively. In particular, we demonstrate that the narrow width of the D(20 to 30 MeV) is by no means incompatible with a broad A₁ and SU(3) symmetry. Taking due account of the possible existence of a K_A meson at 1340 MeV, we predict the decay properties of the ninth member of the nonet (the D') and argue that the E(1420) is not a viable candidate for this state.     

The multiplets of finite-width 0++ mesons and encounters with exotics

The complex-mass (finite-width) 0⁺⁺ nonet and decuplet are investigated by means of the exotic commutator method. The hypothesis of the vanishing of the exotic commutators leads to the system of master equations (ME). Solvability conditions of these equations define relations between the complex masses of the nonet and decuplet mesons which, in turn, determine relations between the real masses (mass formulae), as well as between the masses and widths of the mesons. Mass formulae are independent of the particle widths. The masses of the nonet and decuplet particles obey simple ordering rules. The nonet mixing angle and the mixing matrix of the isoscalar states of the decuplet are completely determined by solution of ME; they are real and do not depend on the widths. All known scalar mesons with the mass smaller than 2000 MeV (excluding σ(600)) and one with the mass belong to two multiplets: the nonet (a₀(980),K₀(1430),f₀(980),f₀(1710)) and the decuplet (a₀(1450),K₀(1950),f₀(1370),f₀(1500),f₀(2200)/f₀(2330)). It is shown that the famed anomalies of the f₀(980) and a₀(980) widths arise from an extra “kinematical” mechanism, suppressing decay, which is not conditioned by the flavor coupling constant. Therefore, they do not justify rejecting the qq̄ structure of them. A unitary singlet state (glueball) is included into the higher lying multiplet (decuplet) and is divided among the f₀(1370) and f₀(1500) mesons. The glueball contents of these particles are totally determined by the masses of decuplet particles. Mass ordering rules indicate that the meson σ(600) does not mix with the nonet particles.     

Strong decays of P-wave mixing heavy-light 1~+ states

Many P-wave mixing heavy-light 1~+ states have not yet been discovered by experiment, while others have been discovered but without width information, or with large uncertainties on the widths. In this paper, the strong decays of the P-wave mixing heavy-light 1~+ states D0, D~±, D~±s, B0, B~±and Bs are studied by the improved BetheSalpeter(B-S) method with two conditions of mixing angle θ: one is θ = 35.3?; the other is considering a correction to the mixing angle θ =35.3?~+θ_1. Valuable predictions for the strong decay widths are obtained: Γ(D′01)=232 MeV,Γ(D01)=21.5 MeV, Γ(D′_1~±.)=232 MeV, Γ(D_1~±)=215 MeV, Γ(D′_(s1)~±)=0.0101 MeV, Γ(D~±s1)=0.950 MeV, Γ(B′_1~±)=263 MeV, Γ(B~±1) = 16.8 MeV, Γ(B′s1) = 0.01987 MeV and Γ(B_(s1)) = 0.412 MeV. It is found that the decay widths of D~±s1 and Bs1 are very sensitive to the mixing angle. The results will provide theoretical assistance to future experiments.     

The K0 SK0 S final state in two-photon collisions and SU(3) tensor nonets

The K⁰ _SK⁰ _S final state in two-photon collisions is studied with the L3 experiment at LEP, using orbital angular momentum operators. The mass spectrum is dominated by the formation of tensor mesons, their two-photon partial width are determined. A signal at 1700-1800MeV is found to be a new tensor state f ₂(1750) with mass M = (1755±10)MeV and width Γ = (67±12)MeV. All observed tensor resonances obey SU(3) relations. The f ₂(1750) state forms a second tensor nonet together with f ₂(1560) and a ₂(1700). The SU(3) analysis allows us to determine with good accuracy mixing angles between nonstrange and strange components of the isoscalar members of tensor nonets.     

Strange axial-vector mesons mixing angle

The masses of K ₁(³ P ₁) and K ₁(¹ P ₁) are considered in a nonrelativistic constituent quark model, and the absolute value of the K ₁(³ P ₁)- K ₁(¹ P ₁) mixing angle is determined to be about 59.29^°. The comparison of the theoretical predictions on the strong decay widths of K ₁(1270) and K ₁(1400) in the ³ P ₀ decay model as well as the production ratio of these two states in the τ decay between the available experimental data strongly favors that the K ₁(³ P ₁)- K ₁(¹ P ₁) mixing angle is about +59.29^°.