radiative mean lifetimes for the hydrogen atom (n,l)

For the hydrogen atom, the table gives the radiative mean lifetime in seconds for<br>a state (n,l). The tabulation goes up to n=70.<br>The decay width of the level is hbar/lifetime. I used the quantum-mechanical expressions given by H. C. Goldwire, Ap.J. Suppl. 152 (1968) 445, DOI: 10.1086/190180 The numbers agree with, where data are available, Table I (last<br>column) of L.J. Curtis, JOSA 63 (1973) 105-7, DOI: 10.1364/JOSA.63.000105<br>and Table I (last column) of H. Marxer and L. Spruch, Phys. Rev. A<br>43 (1991), 1268-74, DOI: 10.1103/PhysRevA.43.1268<br>The numbers are also in good agreement<br>with the semiclassical values given by K. Omidvar Phys. Rev. 26 (1982), 3053,<br>Table III, up to n=25.<br>As a check, the tabulated<br>value for the lifetime of n=70,l=69 agrees with the value from the<br>asymptotic formula for the width given in "Relativistic and radiative<br>energy shifts for Rydberg states," U.D. Jentschura, E.-O. Le Bigot,<br>J. Evers, P. J. Mohr, and C.H. Keitel, J. Phys. B 38 (2005), S97<br>doi: 10.1088/0953-4075/38/2/008 Curtis and Marxer &amp; Spruch (and others) also investigated semi-classical formulae<br>for the lifetimes. See the review, "Asymptotic methods for<br>Rydberg transitions,", D.P. Dewangan, Phys. Rep. 511 (2012), 1-142,<br>DOI: 10.1103/PhysRevA.43.1268