qspec.lambda_rn  (  r2 ,  r2_d ,  r4 ,  r4_d ,  r6 ,  r6_d ,  c2c1 = 1.0 ,  c3c1 = 1.0  )[source]

The differential nuclear charge radius series up to $\mathcal{O}(r^6)$ between two isotopes and its uncertainty calculated from the moments of the nuclear charge radii and the Seltzer coefficients $$\begin{aligned} \Lambda &= \delta\!\langle r^2\rangle + \frac{C_2}{C_1}\delta\!\langle r^4\rangle + \frac{C_3}{C_1}\delta\!\langle r^6\rangle\\[2ex] \Delta\Lambda &= \sqrt{\Delta\delta\!\langle r^2\rangle^2 + \left(\frac{C_2}{C_1}\Delta\delta\!\langle r^4\rangle\right)^2 + \left(\frac{C_3}{C_1}\Delta\delta\!\langle r^6\rangle\right)^2} \end{aligned}$$

Parameters:

r2array_like

The difference of the mean-square nuclear charge radius between two isotopes $\delta\!\langle r^2\rangle$.

r2_darray_like

The uncertainty of the difference of the mean-square nuclear charge radius $\Delta\delta\!\langle r^2\rangle$.

r4array_like

The difference of the mean-quartic nuclear charge radius between two isotopes $\delta\!\langle r^4\rangle$.

r4_darray_like

The uncertainty of the difference of the mean-quartic nuclear charge radius $\Delta\delta\!\langle r^4\rangle$.

r6array_like

The difference of the mean-sextic nuclear charge radius between two isotopes $\delta\!\langle r^6\rangle$.

r6_darray_like

The uncertainty of the difference of the mean-sextic nuclear charge radius $\Delta\delta\!\langle r^6\rangle$.

c2c1array_like

Seltzer's coefficient for the quartic moment $C_2 / C_1$ ([1 / r**2]).

c3c1array_like

Seltzer's coefficient for the sextic moment $C_3 / C_1$ ([1 / r**4]).

Returns:

out(ndarray, ndarray)

The difference of the nuclear charge radius series between two isotopes $\Lambda$ and its uncertainty $\Delta\Lambda$ ([r**2]).