Physical Review A

Radiative transition processes between initial and final channels

Cheng Zhu, Jianguo Wang, Yi-Zhi Qu, Jiaming Li

Published Mar 1, 1998• 9 citations

Abstract

Based on multichannel quantum-defect theory, a method to calculate and compile radiative transition processes for atoms (including highly ionized high-$Z$ atoms) is proposed. Through defining the renormalized transition matrix elements from initial eigenchannels to final eigenchannels, the transition processes between infinitely many initial states and infinitely many final states can be treated conveniently. As illustrative examples, we study the alkali-metal atoms in detail.

DOI: 10.1103/physreva.57.1747

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Physical Review A

Radiative transition processes between initial and final channels

Cheng Zhu, Jianguo Wang, Yi-Zhi Qu, Jiaming Li

Published Mar 1, 1998• 9 citations

Publisher

Abstract

Based on multichannel quantum-defect theory, a method to calculate and compile radiative transition processes for atoms (including highly ionized high-

Z

atoms) is proposed. Through defining the renormalized transition matrix elements from initial eigenchannels to final eigenchannels, the transition processes between infinitely many initial states and infinitely many final states can be treated conveniently. As illustrative examples, we study the alkali-metal atoms in detail.

DOI: 10.1103/physreva.57.1747

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The radial electric dipole moments of bound-bound, bound-free, and free-free transitions of high-lying $(n>15)$ Rydberg states and low-lying continuum states $(\ensuremath{\epsilon}<400$ ${\mathrm{cm}}^{\ensuremath{-}1})$ are calculated for hydrogen and the alkali-metal atoms. All dipole matrix elements for the transitions between low- $l$ $(s$ , $p$ , $d$ , and $f)$ states of H, Li, and Rb are presented. Results of similar calculations for the other alkali-metal atoms (Na, K, and Cs) are summarized. These numerical results, using quantum defect theory, are compared with semiclassical approximations. The dipole matrix elements cross zero at certain combinations of initial and final states. The matrix elements at these so-called Cooper minima in Li, K, Rb, and Cs are presented in detail.The radial electric dipole moments of bound-bound, bound-free, and free-free transitions of high-lying $(n>15)$ Rydberg states and low-lying continuum states $(\ensuremath{\epsilon}<400$ ${\mathrm{cm}}^{\ensuremath{-}1})$ are calculated for hydrogen and the alkali-metal atoms. All dipole matrix elements for the transitions between low-$l$ $(s$, $p$, $d$, and $f)$ states of H, Li, and Rb are presented. Results of similar calculations for the other alkali-metal atoms (Na, K, and Cs) are summarized. These numerical results, using quantum defect theory, are compared with semiclassical approximations. The dipole matrix elements cross zero at certain combinations of initial and final states. The matrix elements at these so-called Cooper minima in Li, K, Rb, and Cs are presented in detail.

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RADIATIVE TRANSITION OF Rb ATOM BETWEEN INITIAL AND FINAL CHANNELS

Jianguo Wang, Xiao‐Min Tong, Jiaming Li +1 more

Acta Physica SinicaJan 1, 199614 citations

Based on multichannel quantum-defect theory, a method to calculate and compile radiative transition processes for atoms (including highly ionized high-

Z

^{1}D_{2}

(n=8--40) and 6snd

^{3}D_{2}

(n=10--26) Rydberg levels, and the perturbers of the ytterbium atom. We have not only obtained results that are in perfect agreement with the recent measurements, but also predicted the lifetimes of 18 other highly excited states. The results indicate that the dramatic variation for lifetimes of Rydberg states in the vicinity of perturbing states is due to the strong channel interaction.

The radial electric dipole moments of bound-bound, bound-free, and free-free transitions of high-lying

(n>15)

Rydberg states and low-lying continuum states $(\ensuremath{\epsilon}<400$ ${\mathrm{cm}}^{\ensuremath{-}1})$ are calculated for hydrogen and the alkali-metal atoms. All dipole matrix elements for the transitions between low-

l

(s

p

d

, and

f)

states of H, Li, and Rb are presented. Results of similar calculations for the other alkali-metal atoms (Na, K, and Cs) are summarized. These numerical results, using quantum defect theory, are compared with semiclassical approximations. The dipole matrix elements cross zero at certain combinations of initial and final states. The matrix elements at these so-called Cooper minima in Li, K, Rb, and Cs are presented in detail.