The radiative transition probabilities in hydrogen have been calculated for all Stark transitions through $n=25$ . In general, the total transition probability and lifetime of a particular state are a function of the parabolic quantum numbers ${n}_{1}$ , ${n}_{2}$ , and $m$ . For $m>0$ and to within an error of the order of one percent the radiative lifetimes are functions only of $n$ , $m$ . The radiative lifetimes are presented graphically for all states from $n=2$ through $n=25$ .The radiative transition probabilities in hydrogen have been calculated for all Stark transitions through $n=25$. In general, the total transition probability and lifetime of a particular state are a function of the parabolic quantum numbers ${n}_{1}$, ${n}_{2}$, and $m$. For $m>0$ and to within an error of the order of one percent the radiative lifetimes are functions only of $n$, $m$. The radiative lifetimes are presented graphically for all states from $n=2$ through $n=25$.

Physical ReviewJan 20, 196449 citations

Narrow-line Cooling and Determination of the Magic Wavelength of Cd

Atsushi Yamaguchi, Marianna S. Safronova, Kurt Gibble +1 more

We experimentally and theoretically determine the magic wavelength of the (5s^{2})^{1}S_{0}-(5s5p)^{3}P_{0} clock transition of ^{111}Cd to be 419.88(14) and 420.1(7) nm. To perform Lamb-Dicke spectroscopy of the clock transition, we use narrow-line laser cooling on the ^{1}S_{0}-^{3}P_{1} transition to cool the atoms to 6 μK and load them into an optical lattice. Cadmium is an attractive candidate for optical lattice clocks because it has a small sensitivity to blackbody radiation and its efficient narrow-line cooling mitigates higher order light shifts. We calculate the blackbody shift, including the dynamic correction, to be fractionally 2.83(8)×10^{-16} at 300 K, an order of magnitude smaller than that of Sr and Yb. We also report calculations of the Cd ^{1}P_{1} lifetime and the ground state C_{6} coefficient.We experimentally and theoretically determine the magic wavelength of the (5s^{2})^{1}S_{0}-(5s5p)^{3}P_{0} clock transition of ^{111}Cd to be 419.88(14) and 420.1(7) nm. To perform Lamb-Dicke spectroscopy of the clock transition, we use narrow-line laser cooling on the ^{1}S_{0}-^{3}P_{1} transition to cool the atoms to 6 μK and load them into an optical lattice. Cadmium is an attractive candidate for optical lattice clocks because it has a small sensitivity to blackbody radiation and its efficient narrow-line cooling mitigates higher order light shifts. We calculate the blackbody shift, including the dynamic correction, to be fractionally 2.83(8)×10^{-16} at 300 K, an order of magnitude smaller than that of Sr and Yb. We also report calculations of the Cd ^{1}P_{1} lifetime and the ground state C_{6} coefficient.

arXiv:1909.07931Physical Review LettersSep 13, 201964 citations

The radiative transition probability

Institute of Physics eBooksNov 26, 20040 citations

Rates of Radiative Transitions and Atomic Spectra

Boris Michailovich Smirnov

Springer series on atomic, optical, and plasma physicsJan 1, 20180 citations

The radiative transition probabilities in hydrogen have been calculated for all Stark transitions through

n=25

. In general, the total transition probability and lifetime of a particular state are a function of the parabolic quantum numbers

{n}_{1}

{n}_{2}

, and

m

. For

m>0

and to within an error of the order of one percent the radiative lifetimes are functions only of

n

m

. The radiative lifetimes are presented graphically for all states from

n=2

through

n=25