原子核体积效应对类锂离子体系基态能量的修正

用全实加关联的方法得到类锂离子15~22s(Z=21～30)波函数,给出了原子核体积效应公式,计算了原子核的体积效应及质量效应对类锂离子能级的修正.结果显示。在中等大小的核电核情形,原子核体积效应对类锂离子能级的修正要比质量效应对类锂离子能级的修正要显著;随着核电核数的增加,原子核体积效应越来越重要.     

原子核体积效应对类锂离子体系基态能量的修正

用全实加关联的方法得到类锂离子1s22s（Z=21~30）波函数, 给出了原子核体积效应公式, 计算了原子核的体积效应及质量效应对类锂离子能级的修正. 结果显示, 在中等大小的核电核情形, 原子核体积效应对类锂离子能级的修正要比质量效应对类锂离子能级的修正要显著; 随着核电核数的增加, 原子核体积效应越来越重要.     

Relativistic corrections to the energy levels of hydrogen atoms in a strong magnetic field

Relativistic corrections to the binding energies of various states of the strongly magnetized hydrogen atom are estimated by a perturbation calculation.     

Quantum corrections and bound-state effects in the energy relaxation of hot dense hydrogen

Simple analytic formulas for energy relaxation (ER) in electron-ion systems, with quantum corrections, ion dynamics, and RPA-type screening are presented. ER in the presence of bound electrons is examined in view of recent simulations for ER in hydrogen in the range 10{20}-10{24} electrons/cc.     

Electromagnetic corrections to the s-wave scattering lengths in pionic hydrogen

Motivated by the recently performed X-ray precision experiments on pionic hydrogen (preceding paper), we reconsider the problem of electromagnetic corrections to the π - N scattering lengths. Based on a relativistic two-channel approach, we find corrections to the π⁻p elastic and single-charge-exchange (SCE) scatering lengths due to the point-Coulomb interaction, the finite-size Coulomb interaction (including the pion size), the first-order vacuum polarization (Uehling potential) and the (π⁻p) - (π⁰n) mass difference (mass difference effect). We also estimate the contribution due to the (γ,n) decay channel. The total corrections to the elastic and the SCE scattering lengths are found to be δ_ε = −(2.1 ± 0.5) × 10⁻² and δ_Γ = −(1.3 ± 0.5) × 10⁻². Previously published values for the corrections are critically compared with our results.     

原子核体积和质量效应对较轻元素及同位素类氢离子能级的修正

在类氢离子电子束缚能一级相对论修正的基础上,计算了原子核的体积效应及质量效应对较轻元素及同位素类氢离子能级的修正量,结果显示,原子核的体积及质量效应不仅导致同位异核氢及类氢离子精细结构能级出现分裂,还会导致类氢离子精细结构能级的简并消失。     

Radiative corrections to positronium energy levels

A systematic perturbation theory for the computation of positronium energy levels is presented. The proposed method is based on the Bethe-Salpeter equation and a zeroth-order kernel for which exact solutions are known explicitly. The cancellation of ultraviolet divergences arising in the perturbation series is discussed, and new contributions to the ground-state hyperfine splitting of positronium are evaluated up to order α⁶.     

Relativistic corrections to Coulomb energy calculations

Coulomb energies of nuclei have been calculated using a recently introduced relativistic nuclear shell model¹). The results are very close to those of the usual non-relativistic, isotropic harmonic oscillator shell model, showing the most deviation for heavy elements such as lead.     

Inclusion of the continuum effects in thermodynamical calculations of nuclear binding energy shell corrections

The contribution of the resonances in a realistic finite potential well to the nuclear binding energy shell corrections is considered. A simple expression for the shell correction based on the thermodynamical method is suggested and the sensitivity of the thermodynamical method to an extension of the continuum states is investigated.     

Electron-electron correction to the chemical binding energy of hydrogen atoms in α-palladium hydrides

We show that the modification of the electron-electron term resulting from the binding of a pair of hydrogen impurities in α-palladium hydrides cancels the corresponding modification of the one-electron band energies.     

Nonadiabatic corrections to the rotational energies of the hydrogen molecule

Nonadiabatic corrections to the rotational energies and rotational constants B_ν have been computed by a variational perturbation method for several vibrational levels of the H₂, HD, and D₂ molecules. It is believed that the convergence error in the computed corrections to the energy is less than 10^?3 cm^?1. The corrections improve the agreement of theoretical and experimental rotational quanta, but there are still discrepancies that amount in some cases to a few hundredths of a cm^?1. These discrepancies are irregular and it is argued that they are at least partly due to experimental inaccuracies.     

Nuclear structure corrections in muonic deuterium

The muonic hydrogen experiment measuring the 2P-2S transition energy [R. Pohl et?al., Nature (London) 466, 213 (2010)] is significantly discrepant with theoretical predictions based on quantum electrodynamics. A possible approach to resolve this conundrum is to compare experimental values with theoretical predictions in another system, muonic deuterium μD. The only correction which might be questioned in μD is that due to the deuteron polarizability. We investigate this effect in detail and observe cancellation with the elastic contribution. The total value obtained for the deuteron structure correction in the 2P-2S transition is 1.680(16)?meV.     

Special features of the quasipotential approach to studying higher order corrections in the fine-structure constant to fine shifts of hydrogen energy levels

Important corrections to fine shifts of energy levels of hydrogen-like atoms can be obtained by studying in detail logarithmic contributions in the fine-structure constant. New results concerning the calculation of α ⁶μ³/(m ₁ m ₂) corrections are presented.     

Quantum corrections to the entropy in a driven quantum Brownian motion model

The quantum Brownian motion model is a typical model in the study of nonequilibrium quantum thermodynamics. Entropy is one of the most fundamental physical concepts in thermodynamics.In this work, by solving the quantum Langevin equation, we study the von Neumann entropy of a particle undergoing quantum Brownian motion. We obtain the analytical expression of the time evolution of the Wigner function in terms of the initial Wigner function. The result is applied to the thermodynamic equilibrium initial state, which reproduces its classical counterpart in the high temperature limit. Based on these results, for those initial states having well-defined classical counterparts, we obtain the explicit expression of the quantum corrections to the entropy in the weak coupling limit. Moreover, we find that for the thermodynamic equilibrium initial state, all terms odd in h are exactly zero. Our results bring important insights to the understanding of entropy in open quantum systems.     

Recoil corrections to muonic atom energy levels

The relativistic correction due to nuclear recoil is calculated for a distributed nuclear charge using the effective potential model of Grotch and Yennie. For the lowest states the results differ substantially from the well-known point nucleus values and disagree somewhat with the recent calculation of Fricke.     

Shell corrections to nuclear binding energies and the coherent state

Shell corrections to the semi-classical evaluation of nuclear masses is formulated in terms of coherent states.     

Experimental constraints on polarizability corrections to hydrogen hyperfine structure

We present a state-of-the-art evaluation of the polarizability corrections--the inelastic nucleon corrections--to the hydrogen ground-state hyperfine splitting using analytic fits to the most recent data. We find a value Delta(pol)=1.3+/-0.3 ppm. This is 1-2 ppm smaller than the value of Delta(pol) deduced using hyperfine splitting data and elastic nucleon corrections obtained from modern form factor fits.