Dielectronic recombination experiment of Na-like Kr<sup>25+</sup> at heavy ion storage ring CSRe

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Abstract

The experimental study of precision spectroscopy of dielectronic recombination (DR) of highly charged ions is not only important for astronomical plasma and fusion plasma, but also can be used as a new precision spectroscopy to test the strong-field quantum electrodynamic effect, measure isotope shift, and extract the radius of atomic nuclei. An specially designed electron beam energy detuning system for electron-ion recombination precision spectroscopy experiments has been installed on the heavy ion storage ring CSRe in Lanzhou, China, where the electron-ion collision energy in the center-of-mass system can be detuned to 1 keV, and an independently-developed plastic scintillator detector and multiwire proportional chamber detector have been installed downstream of the electron cooler of the CSRe for detecting recombined ions. The multiwire proportional chamber detector has the ability to non-destructively monitor the profile of the ion beam in real-time while acquiring the recombined ion counts, providing guidance for optimizing the ion beam. On this basis, the first test experiment on dielectronic recombination of Kr ²⁵⁺ions is carried out at the CSRe, and the dielectronic recombination rate coefficients in a range of 0–70 eV in the frame of center-of-mass are measured. In order to fully understand the experimental results, we calculate the dielectronic recombination rate coefficient of the Kr ²⁵⁺ion by using the flexible atomic code (FAC) and make a detailed comparison with the experimental result, showing that they are in good agreement with each other, and only the resonance energy values of the two resonance peaks at 1.695 eV and 2.573 eV are significantly different. In addition, the DR resonance energy values and intensities are obtained by fitting the experimental results in a range of 0–35 eV, and we find that the transition 3s→4l (∆ n= 1) contributes significantly to the experimental spectral lines. Furthermore, we compare the plasma rate coefficients derived from the DR rate coefficients with those derived from the AUTOSTRUCTURE and FAC theories, which differ by 20 percent in a temperature range less than 10 ⁶K. The experimental results show that the DR experimental platform of the CSRe has very good stability and reproducibility, and can provide support for the future DR experiments of highly charged ion, i.e. for testing strong-field quantum electrodynamics effect and measuring the properties of atomic nuclei.

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Authors and contacts

Corresponding author:Wen Wei-Qiang,wenweiqiang@impcas.ac.cn; Zhu Lin-Fan,lfzhu@ustc.edu.cn; Ma Xin-Wen,x.ma@impcas.ac.cn

Funds:Project supported by the National Key R&D Program of China (Grant No. 2022YFA1602500), the National Natural Science Foundation of China (Grant Nos. 12393824, 12334010, U1932207), the Strategic Priority Research Program (B) of Chinese Academy of Science (Grant No. XDB34020000), and the Youth Innovation Promotion Association of the Chinese Academy of Science.

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实验参数	实验装置(CSRe)
储存环周长/m	128.8
相互作用长度/m	4.0
离子束能量/(MeV·u^–1)	80
离子束流强/μA	300—450
电子束流强/mA	287.5
电子束半径/cm	2.60
横向电子温度/meV	75.14
纵向电子温度/meV	1.26
冷却段磁场强度/G	390
枪区磁场强度/G	1250

DownLoad: CSV

双激发态组态	共振能量/eV		共振强度/(10^–19eV·cm²)
双激发态组态	FAC	实验	FAC	实验
4s[²S_1/2]4d_5/2(J= 2)	1.530	1.695±0.001	75.2	93.8±0.6
3d[²D_3/2]8s (J= 1)	2.090	2.119±0.009	7.1	8.4±0.6
3d[²D_3/2]8s (J= 2)	2.405	2.573±0.001	62.2	56.1±0.6
3p[²P_1/2]13s	3.869	3.804±0.049	1.5	1.9±0.6
3d[²D_5/2]8s (J= 3)	4.530		7.3
3p[²P_1/2]13p_1/2	4.565^a		4.4
Blend	4.543^a	4.561±0.012	11.7	17.4±1.2
3d[²D_3/2]8p_1/2(J= 2)	4.660		6.4
3d[²D_5/2]8s (J= 2)	4.690		11.0
3d[²D_3/2]8p_1/2(J= 1)	4.754		3.9
Blend	4.693^a	4.789±0.013	21.2	15.8±1.2
3d[²D_3/2]8p_3/2	5.338	5.216±0.021	14.8	13.8±1.7
3p[²P_1/2]13d	5.384^a	5.448±0.032	7.2	11.5±1.4
3p[²P_1/2]13f	5.838^a	5.747±0.029	12.4	13.9±1.5
3p[²P_1/2]13l (l≥g)	6.003^a	6.000±0.006	40.4	44.7±1.9
3d[²D_5/2]8p_1/2(J= 2, 3)	7.129^a	7.154±0.022	14.6	12.5±1.3
3p[²P_3/2]12s (J= 1, 2)	7.465^a	7.494±0.095	2.0	6.8±2.3
3d[²D_5/2]8p_3/2(J= 2, 3, 4)	7.705^a	7.767±0.034	26.8	18.6±2.2
4s[²S_1/2]4f_5/2(J= 2)	8.129	8.161±0.028	37.9	39.2±5.2
3d[²D_5/2]8p_3/2(J= 1)	8.063		2.3
3p[²P_3/2]12p_1/2	8.245		2.2
3p[²P_3/2]12p_3/2(J= 1, 2, 3)	8.404^a		3.8
3d[²D_3/2]8d_3/2	8.596		12.7
Blend	8.466^a	8.391±0.045	21.0	20.1±5.2
4s[²S_1/2]4f_5/2(J= 3)	8.880	8.790±0.010	53.9	58.2±1.3
3d[²D_3/2]8d_5/2	8.813^a		21.1
3p[²P_3/2]12d	9.404^a		8.9
Blend	8.988^a	9.143±0.014	30.0	41.2±1.3
4s[²S_1/2]4f_5/2(J= 4)	9.577	9.546±0.018	65.7	60.6±4.0
4s[²S_1/2]4f_5/2(J= 3)	9.737	9.842±0.023	55.8	75.1±3.2
3p[²P_3/2]12l (l≥f)	10.139^a	10.138±0.020	77.5	67.0±3.8
3d[²D_3/2]8f	10.721^a	10.694±0.041	39.8	51.9±2.0
3d[²D_5/2]8d	11.227^a	11.224±0.023	33.1	58.3±2.8
3d[²D_3/2]8l (l≥g)	11.313^a	11.504±0.009	70.7	60.3±4.5
3p[²P_1/2]14d	12.443^a	12.732±0.044	3.5	10.1±1.7
3p[²P_1/2]14l (l≥f)	12.907^a	13.101±0.013	19.4	41.0±1.4
3d[²D_5/2]8f	13.276^a	13.616±0.018	25.4	39.2±1.8
3d[²D_5/2]8l (l≥g)	13.770^a	13.964±0.006	83.4	67.5±2.2
4p[²P_1/2]4d_5/2(J= 3)	16.337		12.3
4p[²P_1/2]4d_5/2(J= 2)	16.500		4.0
Blend	16.377^a	16.482±0.013	16.3	14.1±1.0
3p[²P_3/2]13p	17.491^a	17.36±0.14	2.4	2.0±1.0
3p[²P_1/2]15p	17.601^a	17.74±0.12	0.8	3.0±0.8
Blend	17.517^a	17.579±0.036	3.2	3.3±0.3
3p[²P_1/2]15d	18.131^a		1.4
3p[²P_3/2]13d	18.313^a		3.6
Blend	18.262^a	18.226±0.057	5.1	7.2±1.4
4p[²P_1/2]4d_5/2(J= 1)	18.466		5.2
3p[²P_1/2]15l (l≥f)	18.533^a		8.8
Blend	18.508^a	18.609±0.031	14.0	21.6±1.0
3p[²P_3/2]13l (l≥f)	18.930^a	18.976±0.008	25.5	32.2±1.6
4p[²P_3/2]4d_5/2(J= 2)	20.038	20.162±0.022	5.1	4.2±0.3
4p[²P_3/2]4d_5/2(J= 0)	21.802		1.7
4p[²P_3/2]4d_5/2(J= 1)	22.054		4.2
Blend	21.984^a	22.086±0.025	5.9	5.1±0.3
4p[²P_3/2]4d_5/2(J= 3)	22.444		4.3
4p[²P_3/2]4d_5/2(J= 2)	22.502		5.4
Blend	22.476^a	22.614±0.020	9.7	8.7±0.3
3p[²P_1/2]16l	23.005^a	23.164±0.018	9.5	7.3±0.3
3p[²P_3/2]14p	24.715^a		1.4
3p[²P_3/2]14d	25.371^a		2.2
Blend	25.111^a	25.480±0.052	3.6	7.1±1.0
3p[²P_3/2]14l (l≥f)	25.865^a	25.941±0.013	20.7	21.2±1.0
3p[²P_1/2]17l	26.821^a	26.917±0.022	7.2	7.0±0.4
3p[²P_1/2]18l	30.020^a	30.277±0.024	6.1	6.8±0.3
3p[²P_3/2]15l	31.348^a	31.695±0.011	16.4	22.6±0.9
4p[²P_1/2]4f_5/2(J= 3)	32.424		1.6
3p[²P_1/2]19l	32.739^a		7.5
Blend	32.683^a	32.804±0.028	9.2	9.5±0.5
^aWeighted energy: $ {E}_{{\mathrm{d}}}= {\displaystyle\sum {E}_{{\mathrm{d}}}{S}_{{\mathrm{d}}}}\Big/{\displaystyle\sum {S}_{{\mathrm{d}}}} $

DownLoad: CSV

i	实验		FAC
i	c_i	E_i	c_i	E_i
1	1.01[–1]	37.1	4.65[–2]	24.7
2	2.28[–1]	63.9	2.07[–1]	53.4
3	1.95[–3]	1.74	7.35[–2]	92.9
4	3.30[–2]	121	1.05[–2]	6.15
5	3.99[–2]	15.5	8.90[–4]	1.42
6	4.34[–2]	9.07	1.57[–3]	2.36
7	3.88[–3]	4.17	5.37[–2]	5.37

DownLoad: CSV

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