Modeling penetrating collisions in the standard line broadening impact theory for hydrogen

被引:4
作者
Pain, Jean-Christophe [1 ]
Gilleron, Franck [1 ]
机构
[1] CEA, DIF, DAM, F-91297 Arpajon, France
关键词
Atomic physics; Spectral line shapes; Collisional broadening; Collision operator; MODIFIED BESSEL FUNCTION; NUMERICAL EVALUATION; STARK; PLASMAS;
D O I
10.1016/j.hedp.2019.01.004
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Spectral lines emitted by plasmas provide information about the thermodynamic conditions, the degree of randomness or the interactions prevailing in the medium. Collisions by plasma electrons penetrating the extent of bound-electron wavefunctions is important at high density, where short-range interactions become dominant. Such collisions are usually not taken into account properly in the standard lineshape theory, assuming long-range dipole approximation. The formalism of penetrating collisions for hydrogen relies on the introduction of a family of integrals calculated using a recursion relation. In this work, we show that such integrals can be expressed analytically, as a finite sum involving binomial coefficients and modified Bessel functions of the third kind. The explicit expression enabled us to obtain a simple approximate analytical form for the collision operator, making numerical implementation and physical interpretation easier. We also propose simple analytical forms of coefficients and integrals important for the modeling of penetrating collisions.
引用
收藏
页码:52 / 59
页数:8
相关论文
共 24 条
[1]   Standard line broadening impact theory for hydrogen including penetrating collisions -: art. no. 046404 [J].
Alexiou, S ;
Poquérusse, A .
PHYSICAL REVIEW E, 2005, 72 (04)
[2]   Semiclassical calculations of line broadening in plasmas: Comparison with quantal results [J].
Alexiou, S ;
Lee, RW .
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2006, 99 (1-3) :10-20
[3]   Enhancement of line broadening in plasmas by penetrating collisions for hydrogenlike lines [J].
Alexiou, S. .
HIGH ENERGY DENSITY PHYSICS, 2017, 23 :188-194
[4]   H-like ions with penetrating collisions [J].
Alexiou, S. ;
Poquerusse, A. .
XXIII INTERNATIONAL CONFERENCE ON SPECTRAL LINE SHAPES, 2017, 810
[5]  
Alexiou S, 2001, AIP CONF PROC, V559, P135, DOI 10.1063/1.1370605
[6]  
[Anonymous], 1964, NBS APPL MATH SERIES
[7]  
Bickley WG, 1935, PHILOS MAG, V20, P343
[8]   NEW RECURRENCE RELATION FOR HYDROGENIC RADIAL MATRIX-ELEMENTS [J].
BLANCHARD, P .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1974, 7 (09) :993-1005
[9]  
Bransden B.H., 1993, Physics of Atoms and Molecules
[10]   ELECTRON CORRELATIONS IN STARK BROADENING [J].
CHAPPELL, WR ;
COOPER, J ;
SMITH, EW .
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1969, 9 (01) :149-&