YAN Tong; LIU Aihua; JIAO Liguang

doi:10.7498/aps.74.20241638

Abstract

Bremsstrahlung, as an important radiation process in atomic physics, has significant applications in the fields of astrophysics, plasma physics, magnetic and inertial confinement fusion. In this work, the relativistic partial-wave expansion method is used to investigate the bremsstrahlung of neutral carbon atoms and different charged carbon ions scattered from intermediate- and high-energy relativistic electrons, with special attention paid to the electronic screening effect produced by the target electrons. The target wave function is obtained from the Dirac-Hartree-Fock self-consistent calculations, and the electron-atom scattering interaction potential is constructed in the central-field approximation. By solving the partial-wave Dirac equation, the continuum wave functions of the relativistic electron are obtained, from which the bremsstrahlung single and double differential cross sections can be calculated via the multipole free-free transitions between the incident and exit free electrons. The target electronic screening effects on the bremsstrahlung single and double differential cross sections are analyzed under a variety of conditions of incident electron energy and emitted photon energy. It is shown that the target electronic screening effect will significantly suppress the cross sections both at low incident energy and in the soft-photon region. Such a suppressing effect decreases with the incident electron energy and the emitted photon energy gradually increasing. Overall, the electronic screening effect has no significant influence on the shape function of bremsstrahlung.

Keywords:

Authors and contacts

Corresponding author: LIU Aihua, aihualiu@jlu.edu.cn ; JIAO Liguang, lgjiao@jlu.edu.cn

Funds: Project supported by the National Key Research and Development Program of China (Grant No. 2022YFE0134200) and the National Natural Science Foundation of China (Grant No. 12174147).

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Cited By

DownLoad: Full-Size Img PowerPoint

Target	$ E/ {\rm eV }$							Diff/%
Target	$ 1 {\mathrm{s}}_{1/2} $	$ 2 {\mathrm{s}}_{1/2} $	$ 2 {\mathrm{p}}_{1/2} $	$ 2 {\mathrm{p}}_{3/2} $	Total	Ref.^[54]	NIST^[55]	Diff/%
C	–298.98	–16.86	–9.08	–9.07	–1025.12	–1026	–1030.11	0.48
$ \rm C^{1+} $	–314.60	–30.44	–22.65		–1014.57	–1015	–1018.85	0.42
$ \rm C^{2+} $	–336.99	–47.29			–990.72	–991	–994.47	0.38
$ \rm C^{3+} $	–362.47	–66.27			–945.03	–945	–946.58	0.16
$ \rm C^{4+} $	–392.48				–880.85		–882.08	0.14
$ \rm C^{5+} $	–490.04				–490.04		–489.99	0.01

DownLoad: CSV

$ T_1/{\rm{keV}} $	$ E_{\mathrm{p}}/T_1 $	$ \sigma(k) /\text{mb}$		Diff/%
$ T_1/{\rm{keV}} $	$ E_{\mathrm{p}}/T_1 $	Present work	Pratt et al.^[33]	Diff/%
1	0.2	4.923	5.587	–11.88
	0.5	4.902	5.525	–11.27
	0.8	4.747	5.272	–9.96
	0.95	4.741	5.162	–8.16
10	0.2	7.486	8.308	–9.90
	0.5	5.953	6.405	–7.06
	0.8	4.829	5.060	–4.56
	0.95	4.495	4.573	–1.71
100	0.2	7.896	8.130	–2.88
	0.5	4.964	5.018	–1.07
	0.8	2.939	2.970	–1.05
	0.95	1.925	1.963	–1.95
200	0.2	7.614	7.586	0.37
	0.5	4.402	4.377	0.58
	0.8	2.352	2.354	–0.08
	0.95	1.366	1.380	–1.02
1000	0.2	7.687	7.515	2.29
	0.5	3.953	3.879	1.91
	0.8	1.773	1.762	0.65
	0.95	0.815	0.818	–0.36
2000	0.2	8.387	8.303	1.01
	0.5	4.507	4.451	1.26
	0.8	2.118	2.112	0.31
	0.95	0.941	0.947	–0.68

DownLoad: CSV

$ T_1/ {\rm keV} $	$ E_{\mathrm{p}} / T_1 $	$ \theta/ (°)$	Shape function/sr^–1		Diff/%
$ T_1/ {\rm keV} $	$ E_{\mathrm{p}} / T_1 $	$ \theta/ (°)$	Present work	Kissel et al.^[57]	Diff/%
10	0.6	0	0.0487	0.0498	–2.21
		30	0.0783	0.0796	–1.68
		90	0.0968	0.0962	0.60
		120	0.0611	0.0602	1.44
		180	0.0232	0.0232	–0.01
50	0.6	0	0.0877	0.0843	3.98
		30	0.1386	0.1389	–0.23
		90	0.0747	0.0746	0.19
		120	0.0363	0.0360	0.83
		180	0.0150	0.0149	0.61
100	0.6	0	0.1392	0.1380	0.87
		30	0.2005	0.2019	–0.68
		90	0.0558	0.0556	0.42
		120	0.0244	0.0243	0.36
		180	0.0111	0.0110	0.65

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Vol. 74, Issue 3 - 2025-02-05

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