Bound states of the Klein－Gordon and Dirac equations for potential V0tanh2(r/d)

The exact bound state wavefunctions and energy equations of Klein－Gordon and Dirac equations are given with equal scalar and vector potential s(r)=v(r)=V(r)/2=V_0tanh^2(r/d). The relation between the energy equation and that of relativistic harmonic is discussed.     

OCS+分子经由B2∑+←X2∏跃迁的光解离谱

制备出确定旋轨态的OCS⁺(X²∏)离子,在260～325 nm波长范围内研究了OCS^{+经由B2∑+←X2∏_3/2(000)和B2∑+←X2∏_1/2(000,001)跃迁的分质量光解离谱．由光解离谱得到OCS+(B2∑+)电子态的光谱常数υ1(CS stretch)=828.9(810.4) cm-1,υ2(bend)=491.3 cm-1和υ3(CO stretch)=1887.2 cm-1．在B2∑+←X2∏跃迁谱中只能观察到B2∑+(010)←X2∏_1/2(000)跃迁的谱峰, 而观察不到B2∑+←X2∏_3/2(000)跃迁的谱峰． 用X2∏电子态的(000)2∏_1/2和(010)2∑+_1/2电子振动能级之间的K耦合解释了这种B2∑+的υ2弯曲振动模的激发对X2∏电子态的旋轨分裂分量(Ω=1/2,3/2)的相关性}     

高能电子对原子核C12的弹性散射

In this paper, we have calculated the elastic scattering of high energy electrons with nuclei C¹² by phase shift calculation.We take the charge distribution of the nucleus C¹² as following:(1) exponential distribution:ρ(x)=ρ₀θ^-x/a, (2) gaussian distribution:ρ(x)=ρ₀e^(-x2/a2),(3) uniform distribution: ρ(x) ={ρ₀ when 0kR, where a and b are the parameters, and the constant R is the radius of the nucleus C¹². The energy of the electrons is 187 Mev.The result of the calculation shows that the gaussian distribution confirms the experimental result better than the other two kinds of distributions, and gives R=(12)^1/3r₀, where r₀=1.35×10^-13 cm.     

非定域位势e-μr/r·e-μr′/r′·e-αR/R及e-μr/r·e-μr′/r′·e(-(β(r+r′))1/2·R))/R的Regge渐近行为

本文证明了两个物理上有兴趣的非定域位势e^-μr/r·e^-μr′/r′·e^-αR/R及e^-μr/r·e^-μr′/r′·e^{(-(β(r+r′))1/2·R)})/R的分波S矩阵元对动量变数k在除沿虚轴的割线(-∞i,0),(μi,∞i)的全平面,对角动量变数λ在右半平面Reλ>-1/2的半纯性和当k,λ分别趋于无穷大时的渐近性质。最后得到了Regge渐近行为。     

SIMS STUDY OF OXYGEN SPIRAL DIFFUSION C-TEXTURED Yba2Cu3O7-δ/SrTiO3 EPITAXIAL THIN FILM

Secondary ion mass spectroscopy was used to study the chemical diffusivity of 0¹⁸ in c-textured YBa₂Cu₃O_7-δ/SrTiO₃ epitaxial thin film. By fitting experimental data to the one- dimensional diffusion curve, the apparent diffusivity along the c-axis was obtained to be equal to l.02×10¹⁴cm²/sec when the temperature was 350℃. A computer analysis method was put forward to calculate the "spiral diffusion" process, and the diffusivity anisotopy of films with different mosaic size obtained. For a film of 7000×7000?² mosaic size, Dab was found to be ～3.55×10^-5xexp((-1.03 ev)/kT) cm²/sec. The calculated results reveal that the variation of the results of Dc is not the result of diffusivity anisotropy but of the difference in mosaic size.     

Perturbation study via rotational-resolved spectrum in the triplet band d3Δ-a3∏(2, 1) of CO

The triplet band d³Δ-a³∏ (2, 1) of the CO molecule in the near infrared region of 12350--12850cm^-1 has been observed and analysed by taking into account the perturbation interaction between the d³Δ(v = 2) and a³∏ (v = 9) states. The most perturbed lines and most precise perturbation parameters, \alpha₂ and \beta₂, and electronic perturbation constants,\xi _\e and \eta _\e , for the d³Δ (v= 2) and ³∏ (v = 9) states have been obtained.     

原子的解析波函数

我们设计了一套变分波函数,用来计算了周期表中前面十个原子的能量。我们设计的单电子试探波函数具有下列形式:1s:ψ₁(r)=N₁e^-μαr[1+(μbr)²], 2s:ψ₂(r)=N₂[(μr)e^-μr-Ne^-μcr], 2p:ψ₃(r)=N₃(μdr)cosθe^-μdr, ψ₄(r)=N₄(μdr)sinθe^iφ-μdr, ψ₅(r)=N₅(μdr)sinθe^-iφ-μdr。式中的a,b,c,d及μ为五个变分参数。N₁,N₂,N₃,N₄与N₅为归一化因子;N由ψ₁与ψ₂的正交条件来决定。用这种波函数来计算原子的能量,所得的结果比莫尔斯等人(P.M.Morse,L.A.Young and E.S.Haurwitz)用他们设计的四参数波函数所算得的结果为好,更接近实验值,同时也接近于由自洽场所算出的结果。若我们的波函数中固定c等于1不变,这时就变为只有四个参数的波函数,结果仍比莫尔斯等人的好。     

Cl/HN3/I2全气相化学激光体系的化学动力学模拟计算

 对Cl/HN₃/I₂产生NCl(a)/I激光的过程进行了化学动力学计算，主要考察了Cl,HN₃和I₂的初始粒子数密度及其配比对小信号增益系数的影响。结果发现,当温度为400K, 初始Cl粒子数密度为1×10¹⁵，1×10¹⁶和1×10¹⁷cm^-3时,小信号增益系数分别达到1.6×10^-4,1.1×10^-3和1.1×10^-2cm^-1，获得最佳小信号增益系数的HN₃和I₂的初始粒子数密度分别为初始Cl粒子数密度的1～2倍和2%～4%。同时，对Cl，HN₃和I₂配比对小信号增益系数和增益持续时间的影响进行了讨论。     

Eu3+离子对Li2O-Na2O-B2O3物理和光学特性的影响

The lithium sodium borate glasses doped with Eu³⁺ ion are prepared using melt quenching technique, their structural and optical properties have been evaluated. The density of prepared glasses exhibits an inverse behavior to the molar volume ranging from 2.26 g/cm³ to 2.43 g/cm³ and 26.95 cm³ /mol to 26.20 cm³ /mol, respectively. The absence of sharp peaks in XRD patterns confirms the amorphous nature of the prepared glasses. The absorption spectra yield four transitions centered at 391 nm (⁷F₀→⁵L₆), 463 nm (⁷F₀→⁵D₂), 531 nm (⁷F₀→⁵D₁), and 582 nm (⁷F₀→⁵D₀). The most intense red luminescence is observed at 612 nm corresponding to ⁵D₀→⁷F₂ transition under 390 nm laser excitations.     

Intense up-conversion emissions of Yb3+/Dy3+ co-doped Al2O3 nanopowders prepared by non-aqueous sol—gel method

Yb³⁺/Dy³⁺ co-doped Al₂O₃ nanopowders have been prepared by the non-aqueous sol-gel method and their up- conversion photoluminescence spectra are measured under excitation by 980-nm semiconductor laser. The results show that there are comparatively abundant spectra of up-conversion emissions centered at 378, 408, 527 and 543, and 663 nm, corresponding to ⁴G_9/2 → ⁶H_13/2, ⁴G_9/2 → ⁶H_11/2, ⁴I_15/2 → ⁶H_13/2, and ⁴F_9/2 → ⁶H_11/2 transitions of Dy³⁺, respectively. Two-photon and three-photon processes are involved in ultraviolet, violet, green, and red up-conversion emissions. The energy transition between Yb³⁺ and Dy³⁺ is discussed.     

THE 82S1/2→62D EXCITATION TRANSFER OF RUBIDIUM ATOMS INDUCED BY COLLISIONS WITH GROUND-STATE RUBIDIUM AND HYDROGEN MOLECULES

The processes of excitation transfer from the 8²S_1/2 state to the 6²D state of rubidium in Rb(8²S_1/2)-Rb(5²S_1/2) and Rb(8²S_1/2)-H₂ collisions have been studied experimentally. During irradiating the Rb vapor, mixed with H₂, by two light beams for selective stepwise excitation, the Rb 8²S_1/2→5²P_3/2 direct fluorescence and the Rb 6²D_3/2→5²P_1/2 sensitized fluorescence have been measured as a function of H₂ gas pressure. The measurements yielded the cross-sections σ(8²S_1/2→6²D) and σ^*(8²S_1/2→6²D) of Rb 8²S_1/2→6²D excitation tranfer induced by collisions with 5²S_1/2 atom and H₂ molecules respectively. The results are discussed in detail.     

ANALYSIS OF F′0+u ION-PAIR STATE OF IODINE

The optical-optical double resonant multiphoton ionization (OODR-MPI) technique and the fluorescent excitation spectroscopy technique have been applied to the study of the F′0⁺_u ion-pair state of iodine. This paper presents OODR-MPI spectrum and fluorescent excitation spectrum of I₂ in the region of 54000-55300cm^-1 by the three-photon resonant, two-photon ionization (1+2+2) and (1+(1+1)+2) processes.     

Z→li±lj干 processes in the BLMSSM

In a supersymmetric extension of the Standard Model (SM) where baryon and lepton numbers are local gauge symmetries (BLMSSM), we investigate the charged lepton flavor violating (CLFV) processes Z→l_i^±l_j^干 after introducing new gauginos and right-handed neutrinos. In this model, the branching ratios of Z→l_i^±l_j^干 are around (10^-8-10^-10), which approach the present experimental upper bounds. We hope that the branching ratios for these CLFV processes can be detected in the near future.     

169Re的转动带结构研究

利用在束γ谱学方法,通过反应¹⁴⁴Sm(²⁸Si,1p3n)¹⁶⁹Re研究了¹⁶⁹Re的激发态能级结构.实验进行了X-γ符合、γ-γ符合、DCO系数和带内B(M1)/B(E2)比率测量.基于这些测量,建立了组态为π9/2^－[514]的强耦合带和组态为π1/2^－[541]的退耦合带.通过比较¹⁶⁹Re的转动带与邻近奇质子核已知转动带的结构和B(M1)/B(E2)比率,指定了¹⁶⁹Re转动带的组态.实验观测到π9/2^－[514]和π1/2^－[541]转动带的中子AB带交叉的转动频率分别为0.23和0.27MeV.着重讨论了¹⁶⁹Re转动带的中子AB带交叉频率、转动角动量顺排和旋称劈列等,并讨论了奇ARe核转动带结构的系统性     

THE 82S1/2→62D EXCITATION TRANSFER OF RUBIDIUM ATOMS INDUCED BY COLLISIONS WITH GROUND-STATE RUBIDIUM AND HYDROGEN MOLECULES

The processes of excitation transfer from the 8²S_1/2 state to the 6²D state of rubidium in Rb(8²S_1/2)-Rb(5²S_1/2) and Rb(8²S_1/2)-H₂ collisions have been studied experimentally. During irradiating the Rb vapor, mixed with H₂, by two light beams for selective stepwise excitation, the Rb 8²S_1/2→5²P_3/2 direct fluorescence and the Rb 6²D_3/2→5²P_1/2 sensitized fluorescence have been measured as a function of H₂ gas pressure. The measurements yielded the cross-sections σ(8²S_1/2→6²D) and σ^*(8²S_1/2→6²D) of Rb 8²S_1/2→6²D excitation tranfer induced by collisions with 5²S_1/2 atom and H₂ molecules respectively. The results are discussed in detail.     

OH, OCI, HOCI(1A')的从头算与势能曲线

采用Gassian09程序包中的多种方法对OH, OCI, HOCI分子的基态结构进行优化计算, 优选出QCISD/6-311G(2df), B3P86/6-311+G(2df)方法分别对OH(X²), OCI(X²)分子进行计算, 得到平衡核间距R_OH=0.09696 nm, R_OCI=0.1569 nm, 谐振频率ω(OH)=3745.37 cm^-1, ω(OCI)=892.046 cm^-1, 与实验结果非常符合. 用Murrell-Sorbie势能函数对OH和OCI分子的扫描势能点进行拟合, 其扫描点都与四参数Murrell-Sorbie函数拟合曲线符合得很好．优选出QCISD(T)/D95(df, pd)方法对HOCI分子进行计算, 得到基态为X¹A', 键长R_OH =0.0966 nm, 键角∠HOCI=102.3°, 谐振频率ω₁(a₁)=738.69 cm^-1, ω₂(b₂)=1260.25 cm^-1, 离解能D_e=2.24eV. 通过比较发现这些结果与实验值符合得很好,并优于文献报道的结果. 随后计算出了力常数, 在此基础上,推导出HOCI分子的多体展式势能函数.报道了HOCI分子对称伸缩振动势能图中在H+OCI →HOCI反应通道上有一鞍点, H原子需要越过1.74eV的能垒才能生成HOCI的稳定结构, 在Cl+OH→HOCI通道上不存在明显势垒, 容易形成稳定的HOCI分子.     

Ar原子偶宇称3p5(2P1/2)nl'[K']J(l'=1,3)自电离态激发谱线形研究

The even-parity autoionizing resonance series 3p⁵np''[3/2]_1,2, 3p⁵np''[1/2]₁, and 3p⁵nf''[5/2]₃ of Ar have been investigated exciting from the two metastable states 3p⁵4s[3/2]₂ and 3p⁵4s''[1/2]₀ in the photon energy range of 32500-35600 cm^-1 with an experimental bandwidth of ~0.1 cm^-1. The excitation spectra of the even-parity autoionizing resonance series show typical asymmetric line shapes. New level energies, quantum defects, line profile index and resonance widths, resonance lifetime and reduced widths of the autoionizing resonances are derived by a Fano-type line-shape analysis. The line profile index q and the resonance widths Γ are shown to be approximately proportional to the effective principal quantum number n^*. The line separation of the 3p⁵np'' autoionizing resonances is discussed.     

Determination of Astrophysical 13N(p,γ)14O S-factors from the Asymptotic Normalization Coefficient of )14C → 13C + n

The angular distribution of the ¹³C(d,p)¹⁴C reaction is reanalysed using the Johnson--Soper approach. The squared asymptotic normalization coefficient (ANC) of virtual decay ¹⁴C →¹³C + n is then derived to be 21.4 ± 5.0fm^-1. The squared ANC and spectroscopic factor (SF) of ¹⁴O → ¹³N + p are extracted to be 30.4 ± 7.1fm^-1 and 1.94 ± 0.45, respectively. The astrophysical S-factors and reaction rates of ¹³N(pγ)¹⁴O are determined from the ANC of ¹⁴O → ¹³N + p using the R-matrix approach.     

7Li2(X1Σ+g)分子的振动能级、转动惯量及离心畸变常数

使用密度泛函理论B3LYP和B3P86，以及组态相互作用方法CCSD(T)和QCISD, 利用多个基组对⁷Li₂(X¹Σ⁺_g)分子的平衡核间距(R_e)、谐振频率(ω_e)和离解能(D_e)进行了计算, 发现在CCSD(T)/cc-PVQZ理论水平下得到的结果(R_{e相似文献}   

Kl3介子衰变

本文通过强作用K-π中间态,利用色散关系理论计算了Г(K_μ3⁺)/Г(K_α3⁺),Г(K₂⁰→πμ⁺ν)/Г(K₂⁰→πe⁺ν),{Г(K₂⁰→πe⁺ν)+Г(K₂⁰→πe^-ν)}/Г(K_α3⁺)分支比及K_μ3⁺衰变中的μ谱,当选择定则|ΔI|=1/2及ΔS=+ΔQ被破坏,并且I_z=1/2及I_z=3/2的振幅f^{3/2 1/2}(0)及f^{3/2 3/2}(0)不等时,上述分支比与实验能很好符合。在本文的理论中,形式因子不是常数。