Abstract
In this paper, we extend our recent work on cesium S and D states [Phys. Rev. Lett. 133, 233005 (2024)] to the F states. We present absolute frequency measurements of the |6S_1/2, F = 3 → nF_5/2,7/2(n = 28-68) Rydberg series to measure the spectrum of ¹³³Cs. Atomic spectra are obtained using a three-photon excitation scheme referenced to an optical frequency comb in a sample of ultracold ¹³³Cs. By globally fitting the absolute-frequency measurements to the modified Ritz formula, we determine the quantum defects of the nF_5/2 and nF_7/2 series. The ionization potential extracted for both series from the modified Ritz formula agrees with our measurements based on the S and D series. Fine-structure intervals are calculated and parameterized. The wave functions computed for the energies from the quantum defects are used to calculate transition dipole moments. We compare the reduced electric-dipole matrix elements with available benchmarks and find agreement within the precision of those works. The scalar and tensor polarizabilities of the nS_1/2, nP_J , nD_J and nF_J series are calculated based on the now more accurate set of wave functions. Moreover, we report the polarizability as a series in powers of the effective principal quantum number and find the main coefficients of the expansion. The results will be useful for calculating properties of ¹³³Cs such as collision and decay rates, polarizabilities, and magic wavelengths.