U(6/20)超对称性的U(5)极限

本文讨论U(6/20)超对称性的U(5)极限, 先在数学上导出有关的约化公式, 接着在M=1情况下, 讨论了动力学对称性, 画出典型能谱, 然后就¹⁰³₄₄Ru₅₉核将理论与实验作了比较.     

双荷子系统的SO(4)对称性

本文讨论了双荷子系统的能谱, 表明双荷子系统哈密顿量H_D=1/2M π²－α/r+μ²/2Mr²具有SO(4)对称性.     

Eu-Gd区域的破缺U(3)限U(6/12)模型

本文从超对称性破缺的角度讨论了位于典型U(3)限区域的奇A核₆₃Eu^₁₅₃, 在能谱和B(E2)方面得到了一些定量符合的结果.     

弱电统一理论——SU(3)×U(1)模型

本文提出了一个对称性破缺前不仅左、右对称, 而且中微子(或反中微子)与荷电轻子、反轻子的弱作用也相同的SU(3)×U(1)模型. 这一模型无三角反常; 导出了sin²θ_w≤1/4; 在低能范围内与标准模型一致. 我们反轻子数推广为轻子荷. 证明了只有轻子荷才是严格守恒的, 各代轻子数分别守恒只能近似成立. 夸克不仅带有重子数、电荷, 而且也带有轻子荷. 本模型预言有μ_R→e_R+ν_eL+ν_μR, e^－+e^－→μ^－+μ^－等现象.     

31.2MeV α粒子在B核上的(α,t)、(α,d)和(α,p)反应的研究

我们用粒子鉴别系统测量了31.2MeV的α粒子在^11,10B核上的(α,t)、(α,d)和(α,p)反应的角分布; 由出射粒子的能谱, 我们分别得到了剩余核处于基态和不同激发态的十个角分布. 从角分布的形状看, 在¹¹B(α,t₀)¹²C_g﹒s, ¹¹B(α,d₀)¹³C_g﹒s, ¹⁰B(α,d₀)¹²C_g﹒s, ¹⁰B(α,d₁)¹²C_1st, ¹¹B(α,p₀)¹⁴C_g﹒s等反应中均有不同程度的后角上翘; 并且(α,t₀)和(α,p₀)的后角上翘的同位素效应似乎与(α, α)的反常散射的同位素效应相反.     

不等质量(1/2—1/2)或(1/2-1/2)电磁束缚系统的近似B.S.波函数

本文求解了不等质量(1/2—1/2)电磁束缚系统的Bethe-Salpeter方程. 给出了这类系统的近似B.S.波函数. 利用复合粒子量子场论的微扰展开, 在精确到O(α)的量级下, 计算了Ξ⁰→(Σ⁺μ^－)+ν_μ的衰变率和分支比, 结果是wΞ⁰→(Σ⁺μ^－)+ν_μ=1.12(1/秒)R=[wΞ⁰→(Σ⁺μ^－)+ν_μ]/[wΞ⁰→(Σ⁺μ^－)+ν_μ]≥4.7×10^－7. 类似地, 还讨论了Λ→(pμ^－)+ν_μ过程.     

SU(2)×U(1)×S3模型及类K0-K0系统的混合和CP破坏效应

本文内容包括:(ⅰ)进一步给出SU(2)×U(1)×S₃模型的结果S₂≈S₃≈(m_s²)/(m_b²);sin δ≤(m_um_d)/(m_cm_s),并预言b夸克的主要衰变道是b→u+W,b夸克的寿命可能长到10^-9秒.(ⅱ)给出类K⁰-K⁰系统混合时的精确表达式ρ=错号事例数/对号事例数=(1/2)(|p/q|²+|q/p|²)([Γ²+(Δm)²]²-(γ1γ2)²)/([Γ²+(Δm)²]²+(γ1γ2)²);并给出CP破坏的精确表达式:A=(1-ρ')/(1+ρ')=(I_M12Γ₁₂^*)/(|M₁₂|²+1/4|Γ₁₂|²),这里ρ′=(负电错号事例数)/(正电错号事例数)。     

Study of ψ(4415) in the QPC model

Some authors consider the ψ(4415) to be the 4S or 5S excited tate of a cc pair. Starting from this assumption, we study he decays of the ψ(4415) to DD, D^*D^*, D_SD_S, D_S^*D_S^*, and get the corresponding branching ratios in terms of the Quark-Pair-Creation (QPC) model. Compared with the experimental data, we find that the results of 4S state agree much better than those of the 5S state. Therefore, it is more reasonable to assume the ψ(4415) to be a 4S state.     

Uncertainty study of DS-(D-)→γlν (l=e,μ) decays determined by wave function

Wave function is important for determining decay constants f_DS^- and f_D^-. Using the 5 types of D meson wave functions in the heavy quark limit, we studied the uncertainties of radiative pure-leptonic decays of D_S^-(D^-) mesons. The branching ratios are (1.025390—1.706812) × 10^-5 and (0.953498—1.576725) × 10^-6 for D_S^- and D^- decays, respectively, which are sensitive to the type of wave function.     

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     

Investigations on the charmless decays of Y(4260)

Apart from the charmful decay channels of Y(4260), the charmless decay channels of Y(4260) also provide us a good platform to study the nature and the decay mechanism of Y(4260). In this paper, we propose to probe the structure of Y(4260) through the charmless decays Y(4260)→VP via intermediate D₁D+c.c. meson loops, where V and P stand for light vector and pseudoscalar mesons, respectively. Under the molecule ansatz of Y(4260), the predicted total branching ratio BR_VP for all Y(4260)→VP processes are about (0.34_-0.23^+0.23)% to (0.75_-0.52^+0.72)% with the cutoff parameter α=2-3. Numerical results show that the intermediate m D₁D+c.c. meson loops may be a possible transition mechanism in the Y(4260)→VP decays. These predicted branching ratios are the same order to that of Y(4260)→Z_c⁺(3900)π^-, which may be an evidence of D₁D molecule and can be examined by the forthcoming BESⅢ data in the near future.     

Study of semileptonic decays Bs→Ds1(2536)lν and Bs→Ds2(2573) lν in the CQM model

Based on the assumption that D_s1(2536) and D_s2(2573) belong to T doublet (1⁺,2⁺), we calculate the semileptonic decays of B_s to D_s1(2536) and D_s2(2573) in terms of the Constituent Quark Meson (CQM) model. For B_s→D_s1(2536)+lν and B_s→D_s2(2573)+lν, the order of magnitude of the obtained branching ratios is 10^－3. Our numerical results of the semileptonic decays of B_s to D_s1(2536) and D_s2(2573) are large, which implies that two semileptonic decays should be seen     

铅(208)集体3－态电四极矩、电八极跃迁和跃迁密度的研究——生成坐标方法的应用

用生态坐标方法(GCM)^[1]a考虑集体3^－态与非集体粒子空穴对(ph)l⁺耦合模型计算了铅(208)3^－集体态的电四极知Q_[3－]、电八极约化跃迁几率B(E3)和跃迁密度ρ^tr_3－随核的径向距离r的变化曲线. 结果是:Q_[3－]=－0.098eb¹⁾,B(E3)=38w.u.²⁾. 计算中没有像通常那样假设一个有效核子电荷而是在GCM框架下考虑核心激发进行微观计算, 其结果与实验符合, 说明GCM能够对核元激发的耦合作微观研究.     

四元轻子模型分析及非对角的中性流

由于中微子实验可能产生了中性和带电重轻子,我们讨论了每“行”有四个元素,如 v_e,e^-,E⁰,E^- v_μ,μ^-,M⁰,M^- v_τ,τ^-,T⁰,T^- ……的轻子模型.非对角中性流看来是不可避免的.然而在文章提出的SU（2）×U（1）模型中,μ→eγ,仍可用Bjorken-Lane-Weinberg机制压低,重轻子的产生截面基本上与实验符合.最后我们讨论了一些SU（3）×U（1）及具有更高对称性的模型.     

原子核的单粒位阱(Ⅱ)非厄米选择

应用格林函数方法本文较仔细地研究了单粒位阱的非厄米选择u_αβ=M_αβ（ε_β）[或M_αβ（ε_α）],其中M_αβ（ω）=M_αβ^on（ω）+M_αβ^off（ω）表示质量算符.文中从另一个角度给出了M_αβ^on（ω）与M_αβ^off（ω）的定义并指出,质量算符插图可以分为三类项之和: （1）由M_αβ^off（ω）的极点贡献的项.这类项不可分离,只有它们需要另行处理; （2）可以由上述非厄米选择完全抵销的项,这提供了选择u_αβ的一个依据; （3）剩余项.这部分项可以简单地求和并且可以解释为单粒格林函数的振幅修正. 作为应用举例,文中讨论了粒子-空穴格林函数的重整化无规位相近似（RRPA）,给出了有关的计算公式.在RRPA中不仅顾及了G矩阵的偏离能壳性,而且还计及了单粒传播子的重整化,后者除M_αβ^off（ω）所含极点的贡献外考虑了所有其它效应.     

Semileptonic decays Bc→(ηc,J/Ψ)lv in the perturbative QCD approach

In this paper we study the semileptonic decays of B_c^-→(η_c,J/Ψ)l^-v_l. We first evaluate the B_c→(η_c,J/Ψ) transition form factors F₀(q²), F₊(q²), V(q²) and A_0,1,2(q²) by employing the pQCD factorization approach, and then we calculate the branching ratios for all considered semileptonic decays. Based on the numerical results and the phenomenological analysis, we find that: (a) the pQCD predictions for the values of the B_c→η_c and B_c→J/Ψ transition form factors agree well with those obtained by using other methods; (b) the pQCD predictions for the branching ratios of the considered decays are Br(B_c^-→η_c e^-v_e(μ^-v_μ)=(4.41_-1.09^+1.22)×10^-3, Br(B_c^-→η_cτ^-v_τ) =(1.37_-0.34^+0.37)×10^-3, Br(B_c^-→J/Ψ e^-v_e(μ^-v_μ)) =(10.03_-1.18^+1.33)×10^-3, and Br(B_c^-→J/Ψτ^-v_τ) =(2.92_-0.34^+0.40)×10^-3; and (c) we also define and calculate two ratios of the branching ratios R_ηc and R_J/Ψ, which will be tested by LHCb and the forthcoming Super-B experiments.     

四重子系统核谱

本文用SU(6)对称理论讨论了四重子系统, 为分析实验普提供了一种方法. 利用_ΛΛ⁴H, _ΛΛ⁴He_{, Λ}⁴He和⁴H的基态是在SU(6)的同一个不可约表示中, 从_Λ⁴H, _Λ⁴He和⁴He的实验资料可以求出_ΛΛ⁴H和_ΛΛ⁴He的质量. 计算表明J^π=0⁺双Λ超核_ΛΛ⁴H和_ΛΛ⁴He不象有束缚态.     

J/ψ辐射衰变过程中3－+胶子球的产生

本文导出了过程J/ψ→γ+G(3^－+), G(3^－+)→M₁M₂的多重角关联函数, 其中G是J^pc=3^－+的态, M₁和M₂是自旋为零的介子. 本文还讨论了3^－+胶子球态并计算了过程J/ψ→γ+G(3^－+)的螺旋性(helicity)振幅之比. 结果表明, 其中的一个比率与胶子球的质量无关, 其值很小.     

A note on the mass splitting of K(892)

Belle Collaboration reported a new observed value of K^*－(892) mass by studying τ^－→ K_Sπ－ν_τ decay, which is significantly different from the current world average value given by Particle Data Group 2006. Motivated by this new data, we revisit the issue on the K^*0(892)－K^*±(892) mass splitting. Our theoretical estimation favors the new measurement by Belle Collaboration. Therefore further experimental efforts are urgently needed to improve our understanding of these issues.     

核电荷半径的壳(形变)效应

实验证据分析表明: 大变形区的核电荷方均根半径常数r_p无例外地比相邻球形核大一些. 这可以用形变效应来说明. 中子数在下列壳层中1p_3/2(N~3—6), 1d_5/2(N~9—14), 1f_7/2(N~20—28), 1g_9/2(N~40—50), 1h_11/2(N~70—82)的各同位素的电荷半径的变化(随A的增大半径反而变小等)与A^1/3律完全抵触. 在Z^1/3律基础上, 考虑形变效应后可给予较好的说明.