Event generators for η/η' rare decays into π+π-l+l- and e+e-μ+μ-

Study of the rare and forbidden decays of η/η' offers a sensitive probe to test fundamental symmetries of quantum chromodynamics and search for new physics beyond the Standard Model. To study the rare decays of η/η' to π⁺π^-e⁺e^-, π⁺π^-μ⁺μ^- and e⁺e^-μ⁺μ^- at the BESⅢ detector, we developed several event generators based on the vector meson dominant model with finite-width corrections and the pseudoscalar mesons mixing theory. The various distributions from event generators are in good agreement with the theoretical predictions, which indicates that the event generators work very well after implemention in the BESⅢ Monte Carlo simulation package. In the BESⅢ physics analysis, the performance of the event generators will be improved in accordance with the distributions of different variables of η/η' from data and the improvement on the theoretical calculations.     

相对论性电磁束缚系统（π±μ干）、（K±μ干）的库仑裂解与衰变

本文应用复合粒子量子场论的微扰展开式和相对论性的（π^&;#177;μ^?）、（K^&;#177;μ^?）的B.S.波函数,计算了在原子核屏蔽库仑场中高能（π^&;#177;μ^?）、（K^&;#177;μ^?）原子的裂解能谱和截面。在极端相对论近似下,对大多数原子核,它们的裂解截面分别约为10^-18cm²和10^-17cm²。利用同样的波函数,还计算了（π^&;#177;μ^?）→π⁰+v_μ（v_μ）,（K^&;#177;μ^?）→K⁰+v_μ（v_μ）,以及（π^&;#177;μ^?）→μ⁺+μ^-+v_μ（v_μ）,（K^&;#177;μ^?）→μ⁺+μ^-+v_μ（v_μ）的衰变几率。     

Measurement of J/ψ decays into ΛΛ π+π-

Based on 58 million J/ψ events collected by the BESⅡ detector at the BEPC, J/ψ→ΛΛ π⁺π^- is observed for the first time. The branching fraction is measured to be Br(J/ψ→ΛΛ π⁺π^-)=(4.30±0.13±0.99)×10^-3, excluding the decays to intermediate states, namely J/ψ→Ξ^-Ξ⁺, J/ψ→Σ(1385)^-Σ(1385)⁺, and J/ψ→Σ(1385)⁺Σ(1385)^-. The branching fractions for these intermediate resonance channels are measured to be:Br(J/ψ→Ξ^-Ξ⁺)=（0.90±0.03±0.18）×10^-3, Br(J/ψ→Σ(1385)^-Σ(1385)⁺)=(1.23±0.07±0.30)×10^-3,and Br(J/ψ→Σ(1385)⁺Σ(1385)^-)=(1.50±0.08±0.38)×10^-3, respectively. The angular distribution is of the form dN/d(cosθ)α(1+αcos²θ) with α=(0.35±0.29±0.06) for J/ψ→Ξ^-Ξ⁺, α=(-0.54±0.22±0.10) for J/ψ→Σ(1385)^-Σ(1385)⁺, and α=(-0.35±0.29±0.06) for J/ψ→Σ(1385)⁺Σ(1385)^-.     

A note on Ξc(3055)+ and Ξc(3123)+

The Babar Collaboration announced two new excited charmed baryons Ξ_c(3055)⁺ and Ξ_c(3123)⁺. We study their strong decays assuming they are D-wave states. Some assignments are excluded by comparing our numerical results with the experimental values of the total widths of Ξ_c(3055)⁺ and Ξ_c(3123)⁺. We also suggest some possible decay modes, which will be helpful to     

D+ → η(')l+νl semileptonic decays in light-cone sum rules

We calculate the D → η transition form factor in light-cone sum rules by taking improved current correlators to avoid the pollution from the twist-3 wave function. We get consistent results of the D⁺ → η^(')l⁺ν_l decays with the experimental data. By comparing the difference between the results of the branching ratios of D⁺ → η^(')l⁺ν_l from a two-pole parameterization model and from a BZ parameterization model, we find that the two-pole model and the BZ model are comparably believable. One way is supposed for the determination of the η-η' mixing angle from the dependence of the branching ratios of D⁺ → η^(')l⁺ν_l decays on the η-η' mixing angle.     

关于产生S态（π+π-）s 原子的直通图

本文求出了梯形近似下（π⁺π^-）_s 态原子的相对论协变的 B-S 波函数,并通过应用这一相对论协变的 B-S 波函数和假设复合场论微扰展开中的最低次项——“直通图”为主,计算了过程π⁺+n→p+（π⁺π^-）_s的截面,讨论了直通图的一些性质.此外,这一计算对如下更有兴趣的过程或许提供了粗略的估计:μ⁺+n→（μ⁺π^-）+p.     

(π+,d)反应理论

本文在π介子的一核子吸收模型下,导出了（π⁺,d）反应的扭曲波玻恩近似的截面公式,在平面波近似下,对¹²C（π⁺,d）¹⁰C 反应作了估计.认为,这一类反应对于研究π吸收的过程和原子核的对结构都是值得重视的反应.     

D介子衰变Γ（D0→K+K-）/Γ（D0→π+π-）

考虑强作用修正对D⁰介子衰变的影响,用Gilman和Wise^[1]的方法,导出ΔC=1的等效哈密顿量,算得Γ（D⁰→K⁺K^-）/Γ（D⁰→π⁺π^-）～1.26,简单讨论了这种计算方法中的一些问题。     

关于（e+e-）,（μ+μ-）原子在库仑场的裂解

本文应用了复合粒子场论的微扰展开理论和自旋为（1/2-1/2）的库仑相互作用原子的Bethe-Salpeter协变波函数的近似解,计算了（e⁺e^-）（μ⁺μ^-）原子的高速飞行下裂解截面及能谱。结果表明（e⁺e^-）原子的裂解截面比前人的计算约小20％。此外,计算还表明（e⁺e^-）及（μ⁺μ^-）原子的单态和三重态裂解截面对任意主量子数n,和极端相对论近似下将精确相等,而前人的计算中只是n=2时才有这一结果,而对n=1时,两者相差约有25％。看来很可能是计算中的错误所致。     

π－核双电荷交换反应核谱因子和26Mg(π+, π－)26Si反应

π^－核双电荷交换反应的强度与反应过程的两核子转移的核谱振幅直接联系着. 本文讨论了这类反应与它们的核谱因子的关系. 并以²⁶Mg(π⁺, π^－)²⁶Si为例, 用两种核结构讨论了它的激发函数和微分截面. 我们所用的理论方法能够解释实验数据.     

Analysis of Bs→φμ+μ- decay within supersymmetry

Motivated by the rst measurement on B(B_s→φμ⁺μ^-) by the CDF Collaboration, we study the supersymmetric e ects in semi-leptonic B_s→φμ⁺μ^- decay. In our evaluations, we analyze the dependences of the dimuon invariant mass spectrum and the forward-backward asymmetry on relevant supersymmetric couplings in the MSSM with and without R-parity. The analyses show that the new experimental upper limits of B(B_s→φμ⁺μ^-)from the LHCb Collaboration could further improve the bounds on sneutrino exchange couplings and (δ_LL^u)₂₃ as well as (δ_LL,RR^u)₂₃ mass insertion couplings. In addition, within the allowed ranges of relevant couplings under the constraints from B(B_s→φμ⁺μ^-), B(B→K^(*)μ⁺μ^-) and (B_s→φμ⁺μ^-), the dimuon forward-backward asymmetry and the di erential dimuon forward-backward asymmetry of B_s→φμ⁺μ^-are highly sensitive to the squark exchange contribution and the (δ_LL^u)₂₃ mass insertion contribution. The results obtained in this work will be very useful in searching for supersymmetric signals at the LHC.     

光生相对论的（μ+μ-）,（e+e-）仲原子

本文应用复合场论微扰展开式和相对论的 B-S 近似波函数,计算了类似于 Primakoff 效应的光生相对论的（e⁺e^-）,（μ⁺μ^-）仲原子的过程.结果与通常点模型的计算结果不同,这里多得出了一个新的形状因子.这表明在通常的Primakoff 效应中也将存在类似的修正.     

(π+,d)反应中的S-波πN相互作用

本文在两核子吸收机制下讨论了B(π⁺d)c反应, 导出S-波πN相互作用下的(π⁺d)反应截面公式. 并在平面波近似下计算了¹²C(π⁺d)¹⁰C(0⁺,2⁺)的微分截面. 结果表明了氘核D-波分量的重要性; 中子对空间反对称的结构与对称性的结构对截面的贡献处于同等重要的地位.     

采用Ag+离子与TiF6光学玻璃内的K+或Na+离子交换产生高折射率梯度剖面分布

本文介绍了TiF₆光学玻璃的制作。研究了这种玻璃内的K⁺或Na⁺离子与Ag⁺离子交换。使用双光束干涉法观测了干涉纹、并用电子探针扫描电镜测量了Ag⁺、K⁺和Na⁺离子的浓度分布,还着重研究了离子交换后的玻璃裂纹和着色问题。最后,对结果作了讨论。     

二价Ba2+、Pb2+和四价Ti4+在硼硅酸盐玻璃系统中对Li+/Na+离子交换的影响

本文讨论了在硼硅酸盐玻璃系统中引入二价Ba²⁺、Pb²⁺和四价Ti⁴⁺后,由于Pb²⁺和Ti⁴⁺配位结构的变化,引起Pb²⁺、Ti⁴⁺场强及其与O^2-离子间距的变化,对Li⁺/Na⁺离子交换产生影响,从而改变折射率差值(ΔN)和折射率分布.     

铅（208）1+态的精细结构

采用粒子空穴组态与八极集体振荡声子耦合,然后对角化的方法计算了铅（208）1⁺态能谱和跃迁几率的展布情况.计算表明铅（208）磁偶极巨共振的精细结构随粒子声子间耦合常数交化较大.     

First evidence of ψ(2S)→Ω-Ω+

The decay ψ(2S)→Ω^-Ω⁺ is analyzed using 14×10⁶ ψ(2S) events recorded by the Beijing Spectrometer Ⅱ (BESⅡ) at the Beijing Electron Positron Collider (BEPC). Based upon events with no missing charged tracks and a satisfactory four-constraint kinematic t, we determine the upper limit for the branching fraction of ψ(2S)→Ω^-Ω⁺ to be 1.5×10⁴ at a 90% confidence level. By including events with one missing charged track, we are able to report the first evidence of an Ω⁺ signal with a statistical signi cance of 3.1|σ. The branching fraction of ψ(2S)Ω⁺ is determined to be (4.80±1.56(stat)±1.30(sys))10⁵.     

Determination of J/φ Event Number via J/φ→μ+μ- and J/φ→ e+e- at BESIII

The decays of J/φ→μ⁺μ^- and J/φ→ e⁺e^- are studied by Monte-Carlo simulation, based on the Beijing Spectrometer (BES)Ⅲ offline software system. The methods of determination of the J/φ event number via J/φ→μ⁺μ^- and J/φ→ e⁺e^- are presented, respectively. These methods can be used to determine the J/φevent number for the coming BESⅢ J/φ data sample.     

原子核中的△（1236）对（p,π+）反应的影响

我们假定了一个p→Δ⁰+π⁺的一核子模型,在平面波玻恩近似下,把Δ⁰波函数取为谐振子形式,计算了²⁶Mg（p,π⁺）²⁷Mg 反应的微分截面.为了比较,在同样近似下,对 p→n+π⁺的一核子模型,也做了计算.结果表明,两种机制给出的角分布,无论大小和形状都有明显的差别.对于Δ⁰波函数,我们还选取了高动量成分较大的 Eckart 形式,由计算结果看出,它比谐振子波函数有很明显的改进.这表明,（p,π⁺）反应对束缚态波函数的高动量成分很敏感.     

208Pb核表面多极振荡对1+态M1跃迁影响的问题

本文用生成坐标方法(GCM)^[1]探讨了²⁰⁸Pb核表面多极振荡对1⁺态M1跃迁影响的问题. 计算结果表明集体性最强的八极振荡态的影响是最主要的.