Measurement of the 1s-2s energy interval in muonium

The 1s-2s interval has been measured in the muonium (&mgr;(+)e(-)) atom by Doppler-free two-photon pulsed laser spectroscopy. The frequency separation of the states was determined to be 2 455 528 941.0(9.8) MHz, in good agreement with quantum electrodynamics. The result may be interpreted as a measurement of the muon-electron charge ratio as -1-1.1(2.1)x10(-9). We expect significantly higher accuracy at future high flux muon sources and from cw laser technology.     

氦原子1s2s组态的斯塔克效应

以有效哈密顿方法为基础,对氦原子1s2s组态的斯塔克效应进行了理论计算.计算结果表明,在二级近似下,氦原子1s2s能级结构发生非线性偏离,偏离的程度随着电场强度的增加而增大.     

弛豫与关联效应对NII离子2s22p3s3P1—2s22p21D2与2s22p3s1P1—2s22p23P0,1,2自旋禁戒跃迁概率的影响

用多组态Dirac-Fock方法，并系统考虑相对论效应、电子关联、弛豫效应等重要贡献，计算了NII离子2s22p3s 3P1—2s22p21D2和2s22p3s 1P1—2s22p23P0,1,2自旋禁戒跃迁概率和振子强度-通过比较计算证实：弛豫和关联效应对禁戒跃迁概率的影响非常大，考虑了这些效应后，计算结果有显著的改善-由跃迁概率和振子强度的计算值推断，2s22p3s 3P1—2s22p21D2的谱线强度应该比原有的理论预言值小- 关键词： 跃迁概率 多组态Dirac-Fock方法     

类镉离子5s^2 ^1S0→5s5p^1,3P1跃迁振子强度的计算

应用屏蔽氢模型计算类Ｃｄ离子５ｓ２１Ｓ０→５ｓ５ｐ１Ｐ１共振跃迁振子强度，引入ｊ－耦合中校正系数Ｋ和混合角θ导出５ｓ２１Ｓ０→５ｓ５ｐ３Ｐ１跃迁振子强度表达式。计算结果和其他作者进行了比较，并给出某些讨论。     

Studying Li and He− in the 1s2s2p configuration

Expressions are derived for the nonrelativistic energy of the 1s2s2p configuration. In both the possible electron momentum binding systems (1s2s)2p and 1s(2s2p) values are determined for the parameters of the generalized hydrogenlike analytical radial orbitals for a lithium atom and a negative helium ion. The Li and He^– energy spectra in the 1s2s2p configuration are compared with the theoretical calculations of other authors and with experimental data.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 70–74, June, 1977.     

Relativistic electron correlation, quantum electrodynamics, and the lifetime of the 1s(2)2s(2)2p2p0(3/2) level in boronlike argon

The lifetime of the Ar13+ 1s(2)2s(2)2p2p0(3/2) metastable level was determined at the Heidelberg Electron Beam Ion Trap to be 9.573(4)(5). The accuracy level of one per thousand makes this measurement sensitive to quantum electrodynamic effects like the electron anomalous magnetic moment (EAMM) and to relativistic electron-electron correlation effects like the frequency-dependent Breit interaction. Theoretical predictions, adjusted for the EAMM, cluster about a lifetime that is approximately shorter than our experimental result.     

Observation of fine structure in the 1s2s2p P-1s2p S transition of core-excited O V

We have measured the absolute wavelengths of the fine structure components of the 1s2s2p^{2 5}P-1s2p^{3 5}S transition in beryllium-like oxygen using the method of fast ion spectroscopy. These results represent the first measurement of fine structure in any core-excited 4-electron ion. We have also measured the lifetime of the metastable 1s2p^{3 5}S state. The structure and lifetime results are compared with recent relativistic MCHF calculations.     

Measurement of the Integrated Luminosity at s(1/2)=3.650,3.686 GeV for the BES Detector

The integrated luminosity for the two sets of BES data,collected at s=3.650,3.686GeV in 2002 and 2003,are carefully studied,and measured to be (6.42±0.24)pb^-1 and (19.72±0.86)pb^-1.The result provides basic input parameter in the measurements of cross sections at the above two energy points.     

The He(1s, 2s) + Ne interaction potential

A well depth D = 0.79 meV at R = 11.56 au is calculated for the excited He(1s, 2s) atom interacting with Ne by using a non-local pseudopotential method in good agreement with the experimental values. The pseudopotential I use also contains polarization effects in an adiabatic form. The contribution of the polarization to the well depth is calculated to be 0.42 meV.     

Precise determination of the 2s(1/2)-2p(1/2) splitting in very heavy lithiumlike ions utilizing dielectronic recombination

The 2s(1/2)-2p(1/2) energy splittings DeltaE(L) of the lithiumlike ions 19779Au76+, 20882Pb79+, and 23892U89+ have been measured at the Experimental Storage Ring, utilizing low energy dielectronic recombination. The resonance energies in total 41 different 1s(2) 2p(1/2)nl(j(')) (n > or =20) autoionizing Rydberg states populated in the dielectronic capture process have been determined. The 2s(1/2)-->2p(1/2) excitation energies have been obtained by extrapolation of these resonance energies to the associated series limits n--> infinity. The combined analysis of the experimental data for all three ions yields DeltaE(L)=216.134(96) eV for Au76+, 230.650(81) eV for Pb79+, and 280.516(99) eV for U89+.     

钠分子B^1∏u与2^1∑g^＋间的碰撞激发转移

The B 1pi(u) electronic state of Na2 was excited by the 441.6 nm He-Cd laser line. The Na atomic transitions and the A 1sigma(u)+ --> X 1sigma(g)+ band of Na2 were recorded. From the intensities and spectra of the Na and Na2 fluorescence several collisional processes in the excited sodium atom-dimer system were identified. The Na atomic lines are the result of collisional energy transfer from Na2 (B 1pi(u)) to Na(3P). Predissociation process may also contribute to atomic fluorescence. The A 1sigma(u)+ --> X 1sigma(g)+ band is interpreted through a populating mechanism involving collisional transfer from B 1pi(u) to 2 1sigma(g)+ followed by a radiative transfer to the A 1sigma(u)+ state. From the decay constants and fluorescence intensities, the rate coefficient at 360 degrees C for collisional energy transfer from Na2 (B 1pi(u)) to Na2 (2 1sigma(g)+) was found to be 5.7 x 10(-10) cm3 x s(-1). The predissociation rate of the B 1pi(u) is 2.7 x 10(6) s(-1).     

类锂离子(Z=11～20)1s23p-1s2nd(n=6,7)的跃迁能和振子强度

用全实加关联(FCPC)方法计算类锂离予体系(Z=11～20)1s2nd(n=6,7)态的非相对论能量.相对论及质量极化效应对能量的修正用微扰论计算,量子电动力学(QED)修正利用有效核电荷方法估算.在此基础上计算了1s23p-1s2nd(n=6,7)的跃迁能及振子强度,对现有的关于1s2nd(n=6,7)态的精细结构的实验数据的可靠性提出质疑.     

Storage-ring measurement of the hyperfine induced 47Ti18+(2s2p 3P0 --> 2s2 1S0) transition rate

The hyperfine induced 2s2p (3)P(0) --> 2s(2) (1)S(0) transition rate A(HFI) in berylliumlike (47)Ti(18+) is measured. Resonant electron-ion recombination in a heavy-ion storage ring is employed to monitor the time dependent population of the (3)P(0) state. The experimental value A(HFI)=0.56(3) s(-1) is almost 60% larger than theoretically predicted.     

Some perturbation calculations for 1s2p, 1s 22p,and 1s 22s

The Dalgarno interchange theorem is used, together with the U function approach, to evaluate the first order perturbation corrections to <r ₁ ^-1+r ₂ ^-1> and <r ₁ + r ₂> for the two-electron states 1s2p ¹ P and 1s2p ³ P. The results for <r ₁ + r ₂> are extended by using a screening approximation, and are compared with the results of accurate variational calculations. The first order perturbation correction to spin-weighted expectation values of type <ΣV(r_j )s_zj > is given for the three-electron states 1s ²2p ² P and 1s ²2s ² S. The case V(r_j ) = r _j ^-1 is treated in detail.     

Study of the 1s orthoexciton luminescence in Cu2O under two-photon excitation

We have studied the luminescence of 1s orthoexcitons in Cu₂O under both resonant and non-resonant two-photon excitation. The intensity of the luminescence was enhanced while resonantly exciting at the 1s or 2s orthoexciton levels. The direct and phonon-assisted emissions were observed over a wide range of temperatures (1.8-294 K) under two-photon resonant excitation. The phonon-assisted spectra can be well fit with a Maxwellian distribution with a fitting temperature close to the lattice temperature. The integrated intensity shows a minimum at 20 K and a maximum around 180 K. The existence of the direct emission feature enables us to deduce the temperature dependent bandgap and the orthoexciton line width directly up to relatively high temperatures. The red-shift of the orthoexciton energy and the increase of its line width as the temperature increases are interpreted as a temperature dependence of the real and imaginary parts of the exciton self energy.     

Two-photon E1M1 and E1E2 transitions between 2p and 1s levels in hydrogen

Two-photon transitions in the hydrogen atom are analytically evaluated within the nonrelativistic limit utilizing the Coulomb Green function method. The two-photon emission probability for the transition process 2s→2γ(E1)+1s serves as a test for the other calculations and was compared with the results of previous analytical and numerical calculations. The two-photon emission probabilities for the processes 2p→ γ(E1)+γ(M1)+1s and 2p→γ(E1)+γ(E2)+1s are also evaluated and compared with previous numerical calculations. Different nonrelativistic “forms" for the decay probabilities in combination with different gauge choices are considered.     

Majorana stellar representation for mixed-spin (s, 1/2) systems

By describing the evolution of a quantum state with the trajectories of the Majorana stars on a Bloch sphere,Majorana’s stellar representation provides an intuitive geometric perspective to comprehend the quantum system with highdimensional Hilbert space.However,the representation of a two-spin coupling system on a Bloch sphere has not been solved satisfactorily yet.Here,a practical method is presented to resolve the problem for the mixed-spin(s,1/2)system and describe the entanglement of the system.The system can be decomposed into two spins:spin-(s+1/2)and spin-(s?1/2)at the coupling bases,which can be regarded as independent spins.Besides,any pure state may be written as a superposition of two orthonormal states with one spin-(s+1/2)state and the other spin-(s?1/2)state.Thus,the whole initial state can be regarded as a state of a pseudo spin-1/2.In this way,the mixed spin decomposes into three spins.Therefore,the state can be represented by(2s+1)+(2s?1)+1=4s+1 sets of stars on a Bloch sphere.Finally,some examples are given to show symmetric patterns on the Bloch sphere and unveil the properties of the high-spin system by analyzing the trajectories of the Majorana stars on the Bloch sphere.     

Deeply bound 1s and 2p pionic states in 205Pb and determination of the s-wave part of the pion-nucleus interaction

We observed well-separated 1s and 2p pi(-) states in 205Pb in the 206Pb(d,3He) reaction at T(d) = 604.3 MeV. The binding energies and the widths determined are B(1s) = 6.762+/-0.061 MeV, Gamma(1s) = 0.764(+0.154)(-0.171) MeV, B(2p) = 5.110+/-0.045 MeV, and Gamma(2p) = 0.321(-0.062)(+0.060) MeV. They are used to deduce the real and imaginary strengths of the s-wave part of the pion-nucleus interaction, which translates into a positive mass shift of pi(-) in 205Pb.     

Cu26+离子1s23s-1s2np跃迁的波长和振子强度

用全实加关联方法计算了Cu26+离子1s23s和1s2np (n  9)态的非相对论能量.在计算相对论效应和质量极化效应对体系能量的一级修正的基础上,通过引入价电子的有效核电荷,在类氢近似下,估算了对能量的高阶相对论修正和QED修正,计算了该离子1s23s-1s2np的跃迁能, 波长和在三种规范下的振子强度.得到与现有实验数据符合得很好的结果.与量子亏损理论结合,将对该离子能量和振子强度的理论预言准确地外推到包括连续态的整个能域.     

X-ray spectroscopy of Cl-Ar quasi-molecular orbitals from 1sσ-2pπ transitions

The quasimolecular 1sσ-2pπ transition energy as function of the internuclear distance is obtained for the first time in a direct way from the interference structure observed in quasimolecularK x-ray spectra from low energy (2.5, 5, 10 and 20 MeV) Cl¹⁶⁺ on Ar collisions at fixed impact parameter. The experimental results are in fair agreement with quasimolecular transition energies calculated with a two-center potential.