Energies,Augerwidth,andbranchingratiosofthecore-excitedtriplet1s2p33Poand3Doresonancesforberylliumlikesystem资源-CSDN文库

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http://www.paper.edu.cn

Energies, Auger width, and branching ratios of the

core-excited triplet 1s2p

and

resonances for

berylliumlike system

Meng Zhang1，BingCong Gou1，LiLi Cui2

1Department of Physics, Beijing Institute of Technology, Beijing 100081, P. R. China

2Department of Physics, Kansas State University, Manhattan, KS 66506, USA

E-mail: manny@bit.edu.cn, goubing@sina.com and lili@phys.ksu.edu

Abstract

The relativistic energies, Auger width, and Auger decay branching ratios of the core-excited 1s2p

and

states for beryllium isoelectronic sequence (Z=4-10) are studied using the saddle-point

variational method and the saddle-point complex-rotation method. The total Auger width is

obtained by coupling the important open channels and summing over the other channels. The

oscillator strengths and transition rates are also calculated. Our results are compared with the

available experimental and other theoretical results in the literature.

Keywords: Beryllium-like ions, Core-excited sates, Auger width

1. Introduction

The studies of the core-excited states for berylliumlike ions, a complex four-electron atomic

system, play an important role in developing the excited state theory of multi-electron atoms

and better understanding the complicated correlation effects between electrons. In the past

two decades, many experiment results on the 1s core-excited four-electron resonances from

ion-atom or ion-molecule collision experiments [1-13] have been reported in the literature. At

the same time, extensive theoretical methods [14-29] have been used to study the core-excited

states of beryllium-like ions, such as MCDF-EAL method [17], the 1/Z expansion method

[12], close-coupling calculations method [21] and the saddle-point method [20,30]. However,

most of the work studied the energies, oscillator strengths and transition rates, and Auger

electron spectra of the core-excited four-electron systems. Due to a lack of accurate

theoretical data and the multichannel nature of the Auger decay, it is very difficult for the

Auger spectra for Be-like system to identify. So far, to our knowledge, very few theoretical

methods and experiments have studied the Auger width and branching ratios of the

core-excited resonances for berylliumlike ions.

http://www.paper.edu.cn

In 1979, a “saddle-point” method [26] was developed to study inner-shell vacancy

systems. In the past, some core-excited resonances were calculated for Be

, B

, C

III

and O

by Chung using the saddle-point method [30-32] in which the 1s2p

3 3

and

resonances

were included. The results from the saddle-point methods [30-32] are used to identify the

Auger spectra of Be

, B

and C

III

observed by Rødbro et al [1]. Knowing the decay

branching ratios of a state will help greatly in making positive identification. To explain the

Auger branching ratios for multiply excited atomic systems, a spin-alignment-dependent

theory was proposed by Chung [33]. Recently, Lin et al [34,35], Shiu et al [36] and Liaw [37]

calculated the energies and Auger widths of some core-excited 1s2s

3,1

, 1s2s2p

3,1

D, 1s2p

, 2s

P, and 2s2p

S resonances for the Be-like ions from Be

to Ne

VII

using a saddle-point complex-rotation method. However, these investigations did not cover

1s2p

and

resonances. We note that no Auger decay channel is found for triplet state

1s2p

according to the Auger decay selection rules. Recently, for Ne

VII

, Zeng and Yuan

[21] studied the resonance energies, widths, and branching ratios of the 1s2p

3 3

and

resonances using close-coupling calculations.

In this work the saddle-point variational method and the saddle-point complex-rotation

method are used on the core-excited 1s2p

and

states for beryllium isoelectronic

sequence (Z=4-10). The resonance energies, Auger channel energies, Auger width, and Auger

branching ratios of these states are reported. The calculated results are compared with

experimental and other theoretical results. These available data should be very useful in the

better understanding of the experimental spectra in the future.

2. Theory

The non-relativistic Hamiltonian for a four-electron system is given in atomic units by

∑

⎥

⎦

⎤

⎢

⎣

⎡

−∇−=

iji

∑

. (1)

The saddle-point wave function

of the core-excited four-electron system

can be

written as

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