The first-order revision and the approximation analytical formula of the energy levels for hydrogen-like atoms under the condition of Debye shielding potential are achieved by means of the Rayleigh-Schroedinger pertur...The first-order revision and the approximation analytical formula of the energy levels for hydrogen-like atoms under the condition of Debye shielding potential are achieved by means of the Rayleigh-Schroedinger perturbation theory.meanwhile,the corresponding recurrence relations are obtained from the use of the solution of power series,Based on the above solutions and with the use of energy consistent method the equivalent value of second-order reversion under the condition of Debye shielding potential is produced as well and the esult is compared with the data obtained by the numerical method.Besides,the critical bond-state and corresponding cut-off conditions are discussed.展开更多
As a sister work of[Phys.Rev.D 79(2009)094004],we incorporate the color-screening effect due to lightquark pair creation into the heavy quark-antiquark potential,and investigate the effects of screened potential on th...As a sister work of[Phys.Rev.D 79(2009)094004],we incorporate the color-screening effect due to lightquark pair creation into the heavy quark-antiquark potential,and investigate the effects of screened potential on thespectrum of bottomonium.We calculate the masses,electromagnetic decays,and E1 transitions of bottomonium states.We find that the fine splittings between x_(bJ)(J=0,1,2)states are in good agreement with experimental data,and theE1 transition rates of γ(2S)→γX_(bJ)(1P)and γ(3S)→γX_(bJ)(2P)(J=0,1,2)all agree with data within experimentalerrors.In particular,the mass of γ(6S)is lowered down to match that of the γ(11020),which is smaller than thepredictions of the linear potential models by more than 100 MeV.Comparison between charmonium and bottomoniumin some related problems is also discussed.展开更多
In this paper, we study a fluctuating potential barrier system with correlated spatial noises. Study shows that for this system, there is the resonant activation over the fluctuating potential barrier, and that the co...In this paper, we study a fluctuating potential barrier system with correlated spatial noises. Study shows that for this system, there is the resonant activation over the fluctuating potential barrier, and that the correlation between the different spatial noises can enhance (or weaken) the resonant activation.展开更多
文摘The first-order revision and the approximation analytical formula of the energy levels for hydrogen-like atoms under the condition of Debye shielding potential are achieved by means of the Rayleigh-Schroedinger perturbation theory.meanwhile,the corresponding recurrence relations are obtained from the use of the solution of power series,Based on the above solutions and with the use of energy consistent method the equivalent value of second-order reversion under the condition of Debye shielding potential is produced as well and the esult is compared with the data obtained by the numerical method.Besides,the critical bond-state and corresponding cut-off conditions are discussed.
基金Supported in part by the National Natural Science Foundation of China under Grant Nos.10675003 and 10721063the Ministry of Science and Technology of China under Grant No.2009CB825200
文摘As a sister work of[Phys.Rev.D 79(2009)094004],we incorporate the color-screening effect due to lightquark pair creation into the heavy quark-antiquark potential,and investigate the effects of screened potential on thespectrum of bottomonium.We calculate the masses,electromagnetic decays,and E1 transitions of bottomonium states.We find that the fine splittings between x_(bJ)(J=0,1,2)states are in good agreement with experimental data,and theE1 transition rates of γ(2S)→γX_(bJ)(1P)and γ(3S)→γX_(bJ)(2P)(J=0,1,2)all agree with data within experimentalerrors.In particular,the mass of γ(6S)is lowered down to match that of the γ(11020),which is smaller than thepredictions of the linear potential models by more than 100 MeV.Comparison between charmonium and bottomoniumin some related problems is also discussed.
文摘In this paper, we study a fluctuating potential barrier system with correlated spatial noises. Study shows that for this system, there is the resonant activation over the fluctuating potential barrier, and that the correlation between the different spatial noises can enhance (or weaken) the resonant activation.