Pure annihilation type decays B0→Ds- （K2*）+ and Bs →a2 in the perturbative QCD approach

We calculate the branching ratios of pure annihilation type decays B 0 →D_s^- （K₂^*）⁺ and Bs → a₂ using the perturbative QCD approach based on k T factorization. The branching ratios are predicted to be （60.6 +17.3+4.3+3.2 16.5 10.4 2.1 ）× 10^-6 for B⁰ →D_s^- （K₂^*）⁺ , （1.1 +0.4+0.1+0.1-0.4-0.2-0.1 ）×10-6 for Bs → ⁰a₂⁰ and （2.3 +0.8+0.2+0.1-0.8-0.4-0.1 ）×10-6 for Bs→D^-a₂⁺ . They are large enough to be measured in the ongoing experiment. Due to the shortage of contributions from penguin operators, there are no direct CP asymmetries for these decays in the Standard Model. We also derive simple relations among these decay channels to reduce theoretical uncertainties for the experiments, to test the accuracy of theory, and to search for a signal of new physics.     

Isospin-conserving hadronic decay of the Ds1(2460) into Dsπ+π-

The internal structure of the charm-strange mesons D_s0^*(2317) and D_s1(2460) are the subject of intensive studies.Their widths are small because they decay dominantly through isospinbreaking hadronic channels D_s0^*(2317)⁺→D_s⁺π⁰ and D_s1(2460)⁺→D_s^*+π⁰.The D_s1(2460) can also decay into the hadronic final states D_s⁺ππ...     

Exploring hidden-charm and hidden-strange hexaquark states from lattice QCD

Based on five different ensembles of newly generated (2+1)-flavor configurations with pion mass of approximately m_π■(140-310) MeV, we present a lattice analysis of hidden-charm and hidden-strange hexaquarks with the quark content ■. The correlation matrices of two types of operators with J^PC=0⁺⁺, 0^-+, 1⁺⁺ and 1^-- are simulated to extract the masses of the hexaquark candidates, which are subsequently extrapolated to the physical pi...     

Multiple Auger Decay Following Xe+(4p3−1/2)Ionization

The Auger decay for the many-electron Xe+(4p3^?1/2)state is studied in detail,using multistep approaches.It is found that the single Auger decay channels are primarily Coster–Kronig processes,which is in accord with other theoretical and experimental results.The double and triple Auger decays result primarily from cascade processes,i.e.,the sequential two-step and three-step Auger decay,and as such,the contributions from direct processes can be neglected.Level-to-level rates for single,double,and triple decays are obtained,based on which comprehensive Auger electron spectra and ion yields are obtained.Our decay paths and Auger electron spectra are in agreement with the experimental analysis[Hikosaka et al.,Phys.Rev.A 76(2007)032708],and our ion yield ratios(Xe²⁺:Xe³⁺:Xe⁴⁺=4.6:87.0:8.4)are also in line with their values(5.0:86.0:9.0).However,with respect to the ion yield ratios,a discrepancy still remains among the experimental and theoretical results.Taking into account the complexity of Xe’s electronic structure,further,more detailed experiments are still required.     

OPTICAL-OPTICAL DOUBLE-RESONANCE EXCITATION SPECTRA OF THE (6d)1Πg, (7d)1Πg HIGH-LYING RYDBERG STATES IN Na2

Two ¹Π_g states of Na₂ for v≤13 have been observed by using optical-optical double resonance (OODR) fluorescence excitation spectroscopy. The intermediate levels in B¹Π_u state are identified by the numerical calculations with the molec-ular constants for B¹Π_u←X¹Σ_g⁺ transitions and confirmed by the complemen-tary A¹Σ_g⁺←X¹Σ_g⁺ polarization spectra. Absolute vibrational numberings of the (6d)¹Π_g and (7d)¹Π_g states are determined by comparing the experimental OODR excitation intensities with the simulated Franck-Condon factors. The Dnnham coef-ficients and the Rydberg-Klein-Rees (RKR) potential energy curves of the (6d)¹Π_g, (7d)¹Π_g states are reported.     

ORDER αS QCD CORRECTIONS IN DOUBLY DEEP TWO-PHOTON PROCESSES

order α_S QCD corrections to the Process γ^* +γ^* → 2 jets are calculated in the case where both p力otons are far off shell and spacelike, with q₁²/q₂² and S=(q₁+q₂)² fixed. Compared with the leading Iog approximation results, the scaling of the 2-jet cross-section is still. preserved while the angular distri-butibn gets some corrections.     

High accuracy calculation of the hydrogen negative ion in strong magnetic fields

Using a full configuration-interaction method with Hylleraas-Gaussian basis function, this paper investigates the 1¹0⁺, 1¹(–1)⁺ and 1¹(–2)⁺ states of the hydrogen negative ion in strong magnetic fields. The total energies, electron detachment energies and derivatives of the total energy with respect to the magnetic field are presented as functions of magnetic field over a wide range of field strengths. Compared with the available theoretical data, the accuracy for the energies is enhanced significantly. The field regimes 3 < γ < 4 and 0.02 < γ < 0.05, in which the 1¹(–1)⁺ and 1¹(–2)⁺ states start to become bound, respectively, are also determined based on the calculated electron detachment energies.     

Some of semileptonic and nonleptonic decays of B_c meson in a Bethe-Salpeter relativistic quark model

The semileptonic decays B+c →P(V) +L++νL and the nonleptonic decays B+c →P(V) + L, where P(V) denotes a pseudoscalar(vector) charmonium or(ˉbs)-meson, and L denotes a light meson, are studied in the framework of improved instantaneous BetheSalpeter(BS) equation and the Mandelstam formula. The numerical results(width and branching ratio of the decays) are presented in tables, and in order to compare conveniently, those obtained by other approaches are also put in the relevant tables. Based on the fact that the ratio BR(B+c →ψ(2S)π+)/BR(B+c →J/ψπ+)= 0.24+0.023-0.040 estimated here is in good agreement with the observation by LHCb BR(B+c →ψ(2S)π+)BR(B+c →J/ψπ+)=0.250±0.068(stat)±0.014(syst)±0.006(B), one may conclude that with respect to the decays the present framework works quite well.     

Analysis of B → a1（1260）（b1（1235））K decays in the perturbative QCD approach

Within the framework of the perturbative quantum chromodynamics（PQCD） approach, we study the charmless two-body decays B → a₁（1260）K*, b₁（1235）K*. Using the decay constants and the light-cone distribution amplitudes for these mesons derived from the QCD sum rule method, we find the following results.（a） Our predictions for the branching ratios are consistent with the QCD factorization（QCDF） results within errors, but much larger than the naive factorization approach calculation values.（b） We predict that the anomalous polarizations occurring in the decays B→φK*, ρK*also happen in B→a₁ K*decays, while they do not happen in B→b₁ K*decays. Here the contributions from the annihilation diagrams play an important role in explaining the larger transverse polarizations in the B→a₁ K*decays, while they are not sensitive to the polarizations for the B→b₁ K*decays.（c） Our predictions for the direct C P-asymmetries agree well with the QCDF results within errors. The decaysˉB⁰→b₁₊K*-, B-→b₁⁰K*-have larger direct C P-asymmetries, which could be measured by the present LHCb experiment and the forthcoming Super-B experiment.     

Rescattering mechanism of weak decays of double-charm baryons

The doubly charmed baryon Ξ_(cc)~(++) was recently observed by LHCb via the decay processes ofΞ_(cc)~(++)→∧_c~+K~-π~+π~+ and Ξ_c~+π~+. These discovery channels were successfully predicted in a framework in which the short-distance contributions are calculated under the factorization hypothesis and the long-distance contributions are estimated using the rescattering mechanism for the final-state-interaction effects.In this paper,we illustrate the above framework in detail by systematic studies on the two-body baryonic decays B_(cc)→B_cP involving the doubly charmed baryons B_(cc)=(Ξ_(cc)~(++),Ξ_(cc)~+,Ω_(cc)~+),the singly charmed baryons B_c=(B_3,B_6) and the light pseudoscalar mesons P=(π,K,η_(1,8)).     

Weak decays of doubly heavy baryons: “decay constants”

Inspired by the recent observation of the Ξ_c~+_c~+)by the LHCb Collaboration, we explore the "decay constants" of doubly heavy baryons in the framework of QCD sum rules. With the Ξ_cc),Ξ_(bc),Ξ_(bb), and ?_(cc),?_(bc),?_(bb) baryons interpolated by three-quark operators, we calculate the correlation functions using the operator product expansion and include the contributions from operators up to dimension six. On the hadron side, we consider both contributions from the lowest-lying states with JP=1/2~+ and from negative parity baryons with JP=1/2~-. We find that the results are stable and the contaminations from negative parity baryons are not severe. These results are ingredients for the QCD study of weak decays and other properties of doubly-heavy baryons.     

Exotic ΩΩ dibaryon states in a molecular picture

We investigate the exotic ΩΩ dibaryon states with J^P=0⁺and 2⁺in a molecular picture.We construct a tensorΩΩmolecular interpolating current and calculate the two-point correlation function within the method of QCD sum rules.Our calculations indicate that the masses of the scalar and tensor dibaryon states are mΩΩ,0⁺=(3.33±0.51)GeV and mΩΩ,2⁺=(3.15±0.33)GieV,respectively,which are below the 2mΩthreshold.Within error,these results do not negate the existence of loosely bound molecularΩΩdibaryon states.These exotic strangeness S=-6 and doubly-chargedΩΩdibaryons,if they exist,may be identified in heavy-ion collision processes in the fu-ture.     

Empirical Determination of the Pion Mass Distribution

Existing pion+nucleus Drell-Yan and electron+pion scattering data are used to develop ensembles of modelindependent representations of the pion generalized parton distribution(GPD).Therewith,one arrives at a datadriven prediction for the pion mass distribution form factor,θ₂^π.Compared with the pion elastic electromagnetic form factor,θ₂^π is harder:the ratio of the radii derived from these two form factors is r_π^θ₂/r_...     

Dielectronic recombination of Co-like tantalum

Ab initio calculation of the total dielectronic recombination (DR) rate coefficient from the ground state of Co-like tantalum is performed using the relativistic distorted-wave approximation with configuration interaction. The contributions to the total DR rate coefficients are explicitly calculated from the complexes of Ni-like tantalum: 3s²3p⁶3d_3/2³ 3d_5/2⁶ n'l', 3s²3p⁵3d¹⁰n'l', 3s3p⁶3d¹⁰n'l', 3s²3p⁶3d⁸4ln'l', 3s²3p⁵3d⁹4ln'l' and 3s3p⁶3d⁹4ln'l' with n' ≤ 25, and 3s²3p⁶3d⁸5ln'l' with n' ≤ 9. The l' and n' dependences of partial DR rate coefficients are investigated. The contributions from higher n'complexes are evaluated by a level-by-level extrapolation method. The total DR rate coefficients mainly come from the complex series 3s²3p⁶3d⁸4ln'l', 3s²3p⁵3d⁹4ln'l' and are fitted to an empirical formula with high accuracy. Comparison of the present results with those of other works shows that the previously published data underestimate significantly the DR rates of Co-like tantalum.     

Ultrafast dynamics of cationic electronic states of vinyl bromide by strong-field ionization-photofragmentation

Strong field ionization-photofragmentation(SFI-PF)with ultrafast pump–probe scheme is a powerful approach to study the dynamics of molecular cationic electronic states.Here we carry out a SFI-PF study on the cationic electronic states of vinyl bromide,C₂H₃Br.The yields of the parent C₂H₃Br₊and the formation of the fragment(Br⁺,C₂H⁺2 and C₂H⁺3)ions have been measured at different pump–probe delay time.Analysis provides experimental evidence of A²A'–X²A' internal conversion of vinyl bromide cations which occurs in a time of about 220 fs,and the time of C₂H₃⁺ formation induced by the dissociation of the A²A' state around 300 fs.The study would add our knowledge of the behavior of electronic excited states of complex molecular cations.     

Electron-impact ionization cross section calculations for lithium-like ions

The electron-impact ionization of lithium-like ions C³⁺,N⁴⁺,O⁵⁺,Ne⁷⁺,and Fe2³⁺is studied using a combination of two-potential distorted-wave and R-matrix methods with a relativistic correction.Total cross sections are computed for incident energies from 1 to 10 times of ionization energy and better agreements with the experimental results are obtained in comparison with the theoretical data available.It is found that the indirect ionization processes become significant for the incident energy larger than about four times of the ionization energy.Contributions from the exchange effects along the isoelectronic sequence are also discussed and found to be important.The present method can be used to obtain systematic ionization cross sections for highly charged ions across a wide incident energy range.     

Stacking fault energy of cryogenic austenitic steels

Stacking fault energy and stacking fault nucleation energy are defined in terms of the physical nature of stacking faults and stacking fault energy, and the measuring basis for stacking fault energy. Large quantities of experimental results are processed with the aid of a computer and an expression for calculating stacking fault energy has been obtained as γ³⁰⁰_SF(mJ·m^-2)=γ⁰_SF+1.59Ni-1.34Mn+0.06Mn²-1.75Cr+0.01Cr²+15.21Mo-5.59Si-60.69(C+1.2N)^1/2 + 26.27(C+1.2N)(Cr+Mn+Mo)^1/2+0.61[Ni·(Cr+Mn)]^1/2.     

Calculation of the elastic collision properties of Na and Li atoms at ultracold temperature

This paper firstly reports a theoretical study of elastic scattering properties in a mixture of ²³Na and ⁷Li atoms at cold and ultracold temperatures in detail. Based on the new constructed accurate singlet X¹∑_g⁺ and the triplet a³∑_u⁺ states interatomic potentials for ²³Na⁷Li mixture, it calculates the scattering lengths and the effective ranges by three computational methods, and obtains good agreements. Using the mass scaling method, it also calculates ²³Na⁶Li scattering lengths and s-wave and total elastic cross sections, whose rich resonance structures were found and interpreted in terms of quasibound diatomic levels trapped behind a centrifugal barrier.     

Cluster-assisted generation of multi-charged ions in nanosecond laser ionization of pulsed hydrogen sulfide beam at 1064 and 532nm

The multi-charged sulfur ions of S^q= (q\le 6) have been generated when hydrogen sulfide cluster beams are irradiated by a nanosecond laser of 1064 and 532,nm with an intensity of 10¹⁰\sim 10¹²W1\cdotcm^-2. S⁶⁺ is the dominant multi-charged species at 1064nm, while S⁴⁺, S³⁺ and S²⁺ ions are the main multi-charged species at 532nm. A three-step model (i.e., multiphoton ionization triggering, inverse bremsstrahlung heating, electron collision ionizing) is proposed to explain the generation of these multi-charged ions at the laser intensity stated above. The high ionization level of the clusters and the increasing charge state of the ion products with increasing laser wavelength are supposed mainly due to the rate-limiting step, i.e., electron heating by absorption energy from the laser field via inverse bremsstrahlung, which is proportional to \lambda ², \lambda being the laser wavelength.     

THE TWO-BOSON SCATTERING PHASE SHIFTS IN THE GENERAL φ6 THEORY WITH THE GAUSSIAN WAVE-FUNCTIONAL APPROACH

The two-particle scattering phase shifts with a λφ⁴ +ξφ⁶ interaction are com-puted in (1 + 1) and (2 + 1) dimensions using the Gaussian wave-functional approach.Through numerical analysis, we give the phase-shift curves with respect to the scat-tering energy for most cases of this theory. In (1 + 1) and (2 + 1 ) dimensions, for the symmetry vacuum the phase shifts are positive or negative depending on the signs of the renormalized parameter, while for the asymmetric vacuum the phase shifts are negative.