all orbitals to receive a relatively sizeable shift from this mechanism. For orbitals with $l>0$, the relaxation contribution may be orders of magnitude larger than the first-order Uehling contribution, since these orbitals do not penetrate the region close to the nucleus where the Uehling potential acts, making the first-order contribution very small.

  ------------ ------------------------------------------------ -------- -------- -------- -------- -------- ---------- ---------------- ---------------- ------------------------------------------------ -------------------------------------------------
  State         $\langle \varphi |-V_{\rm Ueh}|\varphi\rangle$                                                                                                                                             
                               $\times 10^{6}$                    $1s$     $2s$     $3s$     $4s$     $5s$    core $s$   core $p_{1/2}$   core $p_{3/2}$   $\langle -\delta V_{\rm dir}^{\rm Ueh}\rangle$   $\langle -\delta V_{\rm exch}^{\rm Ueh}\rangle$
  $6s_{1/2}$                       -10.538                       -0.033   -0.139   -0.164   -0.247   -0.619    -1.211        0.116            0.035                            1.573                                            -2.623
  $6p_{1/2}$                        -0.194                       0.040    0.031    0.027    0.048    0.284     0.430         -0.019           0.012                            0.608                                            -0.185
  $6p_{3/2}$                        -0.022                       0.024    0.026    0.020    0.043    0.315     0.428         0.042            0.004                            0.570                                            -0.096
  $5d_{3/2}$                        0.000                        -0.104   -0.022   0.046    0.081    0.951     0.953         0.153            0.022                            0.737                                             0.390
  $5d_{5/2}$                        0.000                        -0.098   -0.025   0.046    0.083    0.901     0.907         0.068            0.031                            0.709                                             0.298
  ------------ ------------------------------------------------ -------- -------- -------- -------- -------- ---------- ---------------- ---------------- ------------------------------------------------ -------------------------------------------------

The first-order Uehling shifts and the breakdown of the core relaxation contributions for the lowest five valence levels of Cs are presented in Table \[tab:deltaV\]. In the second column the first-order results $\delta \epsilon^{(1)}$ are given. 