The role of some collisional processes in AGNs: rate coefficients needed   for modeling

M. S. Dimitrijevic; V. A. Sreckovic; Lj. M. Ignjatovic; B. P.; Marinkovic

arXiv:1812.09488·astro-ph.GA·January 15, 2020

The role of some collisional processes in AGNs: rate coefficients needed for modeling

M. S. Dimitrijevic, V. A. Sreckovic, Lj. M. Ignjatovic, B. P., Marinkovic

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TL;DR

This paper investigates hydrogen atom collisional processes in AGNs to improve modeling accuracy of spectral lines and plasma diagnostics, with implications for understanding AGN environments and cosmological recombination.

Contribution

It provides new rate coefficients for hydrogen collisions relevant to AGN modeling, addressing gaps in existing data for line formation and plasma analysis.

Findings

01

Hydrogen collision data enhances AGN spectral line modeling.

02

Results aid in better temperature diagnostics of astrophysical plasmas.

03

Findings are applicable to cosmological recombination studies.

Abstract

The importance of some atom hydrogen collisions in AGN has been investigated. The results are useful for better estimate of the hydrogen Balmer lines uxes, which usage for effective temperature diagnostics in astrophysical plasma is limited by errors from the line formation models. The data could be also useful for modeling cooler and denser parts of AGN BLR clouds, as well as for the investigation of Rydberg states of hydrogen and for the study of their in uence during the cosmological recombination epoch. The results of the present work suggest that the investigated processes are of interest for the research and modelling of such media.

Tables17

Table 1. Table 1: Additional AAS T e X symbols

$≲$	`\lesssim`, `\la`	$≳$	`\gtrsim`, `\ga`
µm	`\micron`	−	`\sbond`
=	`\dbond`	≡	`\tbond`
$☉$	`\sun`	$\oplus$	`\earth`
⌀	`\diameter`
°	`\arcdeg`, `\degr`	□	`\sq`
′	`\arcmin`	″	`\arcsec`
$\overset{d}{.}$	`\fd`	$\overset{h}{.}$	`\fh`
$\overset{m}{.}$	`\fm`	$\overset{s}{.}$	`\fs`
$\overset{\circ}{.}$	`\fdg`	$\overset{'}{.}$	`\farcm`
$\overset{''}{.}$	`\farcs`	$\overset{p}{.}$	`\fp`
½	`\onehalf`	UBVR	`\ubvr`
⅓	`\onethird`	U B	`\ub`
⅔	`\twothirds`	B V	`\bv`
¼	`\onequarter`	V R	`\vr`
¾	`\threequarters`	U R	`\ur`

Table 2. Table 2: Text-mode accents

ò	`\‘{o}`	ō	`\={o}`	o͡o	`\t{oo}`
ó	`\’{o}`	ȯ	`\.{o}`	o̧	`\c{o}`
ô	`\^{o}`	ŏ	`\u{o}`	ọ	`\d{o}`
ö	`\"{o}`	ǒ	`\v{o}`	o̱	`\b{o}`
õ	`\~{o}`	ő	`\H{o}`

Table 3. Table 3: National symbols

œ	`\oe`	å	`\aa`	ł	`\l`
Œ	`\OE`	Å	`\AA`	Ł	`\L`
æ	`\ae`	ø	`\o`	ß	`\ss`
Æ	`\AE`	Ø	`\O`

Table 4. Table 4: Math-mode accents

$\hat{a}$	`\hat{a}`	$\dot{a}$	`\dot{a}`
$\overset{ˇ}{a}$	`\check{a}`	$\ddot{a}$	`\ddot{a}`
$\tilde{a}$	`\tilde{a}`	$\overset{˘}{a}$	`\breve{a}`
$\overset{´}{a}$	`\acute{a}`	$\bar{a}$	`\bar{a}`
$\overset{`}{a}$	`\grave{a}`	$\vec{a}$	`\vec{a}`

Table 5. Table 5: Greek and Hebrew letters (math mode)

$α$	`\alpha`	$ν$	`\nu`
$β$	`\beta`	$ξ$	`\xi`
$γ$	`\gamma`	$o$	`o`
$δ$	`\delta`	$π$	`\pi`
$ϵ$	`\epsilon`	$ρ$	`\rho`
$ζ$	`\zeta`	$σ$	`\sigma`
$η$	`\eta`	$τ$	`\tau`
$θ$	`\theta`	$υ$	`\upsilon`
$ι$	`\iota`	$ϕ$	`\phi`
$κ$	`\kappa`	$χ$	`\chi`
$λ$	`\lambda`	$ψ$	`\psi`
$μ$	`\mu`	$ω$	`\omega`
$ϝ$	`\digamma`	$ϰ$	`\varkappa`
$ε$	`\varepsilon`	$ς$	`\varsigma`
$ϑ$	`\vartheta`	$φ$	`\varphi`
$ϱ$	`\varrho`
$Γ$	`\Gamma`	$Σ$	`\Sigma`
$Δ$	`\Delta`	$Υ$	`\Upsilon`
$Θ$	`\Theta`	$Φ$	`\Phi`
$Λ$	`\Lambda`	$Ψ$	`\Psi`
$Ξ$	`\Xi`	$Ω$	`\Omega`
$Π$	`\Pi`
$ℵ$	`\aleph`	$ℶ$	`\beth`
$ℷ$	`\gimel`	$ℸ$	`\daleth`

Table 6. Table 6: Binary operators (math mode)

$\pm$	`\pm`	$\cap$	`\cap`
$\mp$	`\mp`	$\cup$	`\cup`
$∖$	`\setminus`	$⊎$	`\uplus`
$\cdot$	`\cdot`	$⊓$	`\sqcap`
$\times$	`\times`	$⊔$	`\sqcup`
$*$	`\ast`	$◁$	`\triangleleft`
$⋆$	`\star`	$▷$	`\triangleright`
$⋄$	`\diamond`	$≀$	`\wr`
$\circ$	`\circ`	$○$	`\bigcirc`
$∙$	`\bullet`	$△$	`\bigtriangleup`
$\div$	`\div`	$▽$	`\bigtriangledown`
$⊲$	`\lhd`	$⊳$	`\rhd`
$\lor$	`\vee`	$⊙$	`\odot`
$\land$	`\wedge`	$†$	`\dagger`
$\oplus$	`\oplus`	$‡$	`\ddagger`
$⊖$	`\ominus`	$∐$	`\amalg`
$\otimes$	`\otimes`	$⊴$	`\unlhd`
$⊘$	`\oslash`	$⊵$	`\unrhd`

Table 7. Table 7: AMS binary operators (math mode)

$∔$	`\dotplus`	$⋉$	`\ltimes`
$∖$	`\smallsetminus`	$⋊$	`\rtimes`
$⋒$	`\Cap`, `\doublecap`	$⋋$	`\leftthreetimes`
$⋓$	`\Cup`, `\doublecup`	$⋌$	`\rightthreetimes`
$⊼$	`\barwedge`	$⋏$	`\curlywedge`
$⊻$	`\veebar`	$⋎$	`\curlyvee`
$⩞$	`\doublebarwedge`
$⊟$	`\boxminus`	$⊝$	`\circleddash`
$⊠$	`\boxtimes`	$⊛$	`\circledast`
$⊡$	`\boxdot`	$⊚$	`\circledcirc`
$⊞$	`\boxplus`	$∙$	`\centerdot`
$⋇$	`\divideontimes`	$⊺$	`\intercal`

Table 8. Table 8: Miscellaneous symbols

†	`\dag`	§	`\S`
©	`\copyright`	‡	`\ddag`
¶	`\P`	£	`\pounds`
#	`\#`	$	`\$`
%	`\%`	&	`\&`
_	`\_`	{	`\{`
}	`\}`

Table 9. Table 9: Miscellaneous symbols (math mode)

$ℵ$	`\aleph`	$'$	`\prime`
$ℏ$	`\hbar`	$\emptyset$	`\emptyset`
$ı$	`\imath`	$\nabla$	`\nabla`
$ȷ$	`\jmath`	$\sqrt$	`\surd`
$ℓ$	`\ell`	$⊤$	`\top`
$℘$	`\wp`	$⊥$	`\bot`
$ℜ$	`\Re`	$∥$	`\\|`
$ℑ$	`\Im`	$∠$	`\angle`
$\partial$	`\partial`	$△$	`\triangle`
$\infty$	`\infty`	$\$	`\backslash`
$□$	`\Box`	$◇$	`\Diamond`
$\forall$	`\forall`	$♯$	`\sharp`
$\exists$	`\exists`	$♣$	`\clubsuit`
$\neg$	`\neg`	$♢$	`\diamondsuit`
$♭$	`\flat`	$♡$	`\heartsuit`
$♮$	`\natural`	$♠$	`\spadesuit`
$℧$	`\mho`

Table 10. Table 10: AMS miscellaneous symbols (math mode)

$ℏ$	`\hbar`	$‵$	`\backprime`
$ℏ$	`\hslash`	$\emptyset$	`\varnothing`
$△$	`\vartriangle`	$▲$	`\blacktriangle`
$▽$	`\triangledown`	$▼$	`\blacktriangledown`
$□$	`\square`	$■$	`\blacksquare`
$◆$	`\lozenge`	$◆$	`\blacklozenge`
$Ⓢ$	`\circledS`	$★$	`\bigstar`
$∠$	`\angle`	$∢$	`\sphericalangle`
$∡$	`\measuredangle`
$∄$	`\nexists`	$∁$	`\complement`
$℧$	`\mho`	$ð$	`\eth`
$Ⅎ$	`\Finv`	$╱$	`\diagup`
$⅁$	`\Game`	$╲$	`\diagdown`
$𝕜$	`\Bbbk`	$↾$	`\restriction`

Table 11. Table 11: Arrows (math mode)

$\leftarrow$	`\leftarrow`	$⟵$	`\longleftarrow`
$\Leftarrow$	`\Leftarrow`	$⟸$	`\Longleftarrow`
$\to$	`\rightarrow`	$⟶$	`\longrightarrow`
$\Rightarrow$	`\Rightarrow`	$⟹$	`\Longrightarrow`
$\leftrightarrow$	`\leftrightarrow`	$⟷$	`\longleftrightarrow`
$\Leftrightarrow$	`\Leftrightarrow`	$⟺$	`\Longleftrightarrow`
$\mapsto$	`\mapsto`	$⟼$	`\longmapsto`
$↩$	`\hookleftarrow`	$↪$	`\hookrightarrow`
$↼$	`\leftharpoonup`	$⇀$	`\rightharpoonup`
$↽$	`\leftharpoondown`	$⇁$	`\rightharpoondown`
$⇌$	`\rightleftharpoons`	$↝$	`\leadsto`
$↑$	`\uparrow`	$⇕$	`\Updownarrow`
$⇑$	`\Uparrow`	$↗$	`\nearrow`
$↓$	`\downarrow`	$↘$	`\searrow`
$⇓$	`\Downarrow`	$↙$	`\swarrow`
$↕$	`\updownarrow`	$↖$	`\nwarrow`

Table 12. Table 12: AMS arrows (math mode)

$⇠$	`\dashleftarrow`	$⇢$	`\dashrightarrow`
$⇇$	`\leftleftarrows`	$⇉$	`\rightrightarrows`
$⇆$	`\leftrightarrows`	$⇄$	`\rightleftarrows`
$⇚$	`\Lleftarrow`	$⇛$	`\Rrightarrow`
$↞$	`\twoheadleftarrow`	$↠$	`\twoheadrightarrow`
$↢$	`\leftarrowtail`	$↣$	`\rightarrowtail`
$↫$	`\looparrowleft`	$↬$	`\looparrowright`
$⇋$	`\leftrightharpoons`	$⇌$	`\rightleftharpoons`
$↶$	`\curvearrowleft`	$↷$	`\curvearrowright`
$↺$	`\circlearrowleft`	$↻$	`\circlearrowright`
$↰$	`\Lsh`	$↱$	`\Rsh`
$⇈$	`\upuparrows`	$⇊$	`\downdownarrows`
$↿$	`\upharpoonleft`	$↾$	`\upharpoonright`
$⇃$	`\downharpoonleft`	$⇂$	`\downharpoonright`
$⊸$	`\multimap`	$↝$	`\rightsquigarrow`
$↭$	`\leftrightsquigarrow`
$↚$	`\nleftarrow`	$↛$	`\nrightarrow`
$⇍$	`\nLeftarrow`	$⇏$	`\nRightarrow`
$↮$	`\nleftrightarrow`	$⇎$	`\nLeftrightarrow`

Table 13. Table 13: Relations (math mode)

$\leq$	`\leq`	$\geq$	`\geq`
$≺$	`\prec`	$≻$	`\succ`
$⪯$	`\preceq`	$⪰$	`\succeq`
$≪$	`\ll`	$≫$	`\gg`
$\subset$	`\subset`	$\supset$	`\supset`
$\subseteq$	`\subseteq`	$\supseteq$	`\supseteq`
$⊏$	`\sqsubset`	$⊐$	`\sqsupset`
$⊑$	`\sqsubseteq`	$⊒$	`\sqsupseteq`
$\in$	`\in`	$∋$	`\ni`
$⊢$	`\vdash`	$⊣$	`\dashv`
$⌣$	`\smile`	$∣$	`\mid`
$⌢$	`\frown`	$∥$	`\parallel`
$\neq$	`\neq`	$⟂$	`\perp`
$\equiv$	`\equiv`	$≅$	`\cong`
$\sim$	`\sim`	$⋈$	`\bowtie`
$≃$	`\simeq`	$\propto$	`\propto`
$≍$	`\asymp`	$⊧$	`\models`
$\approx$	`\approx`	$≐$	`\doteq`
		$⨝$	`\Join`

Table 14. Table 14: AMS binary relations (math mode)

$≦$	`\leqq`	$≧$	`\geqq`
$⩽$	`\leqslant`	$⩾$	`\geqslant`
$⪕$	`\eqslantless`	$⪖$	`\eqslantgtr`
$≲$	`\lesssim`	$≳$	`\gtrsim`
$⪅$	`\lessapprox`	$⪆$	`\gtrapprox`
$≊$	`\approxeq`	$≂$	`\eqsim`
$⋖$	`\lessdot`	$⋗$	`\gtrdot`
$⋘$	`\lll`, `\llless`	$⋙$	`\ggg`, `\gggtr`
$≶$	`\lessgtr`	$≷$	`\gtrless`
$⋚$	`\lesseqgtr`	$⋛$	`\gtreqless`
$⪋$	`\lesseqqgtr`	$⪌$	`\gtreqqless`
$≑$	`\doteqdot`, `\Doteq`	$≖$	`\eqcirc`
$≓$	`\risingdotseq`	$≗$	`\circeq`
$≒$	`\fallingdotseq`	$≜$	`\triangleq`
$∽$	`\backsim`	$\sim$	`\thicksim`
$≌$	`\backsimeq`	$\approx$	`\thickapprox`
$⫅$	`\subseteqq`	$⫆$	`\supseteqq`
$⋐$	`\Subset`	$⋑$	`\Supset`
$⊏$	`\sqsubset`	$⊐$	`\sqsupset`
$≼$	`\preccurlyeq`	$≽$	`\succcurlyeq`
$⋞$	`\curlyeqprec`	$⋟$	`\curlyeqsucc`
$≾$	`\precsim`	$≿$	`\succsim`
$⪷$	`\precapprox`	$⪸$	`\succapprox`
$⊲$	`\vartriangleleft`	$⊳$	`\vartriangleright`
$⊴$	`\trianglelefteq`	$⊵$	`\trianglerighteq`
$⊨$	`\vDash`	$⊩$	`\Vdash`
$⊪$	`\Vvdash`
$⌣$	`\smallsmile`	$∣$	`\shortmid`
$⌢$	`\smallfrown`	$∥$	`\shortparallel`
$≏$	`\bumpeq`	$≬$	`\between`
$≎$	`\Bumpeq`	$⋔$	`\pitchfork`
$\propto$	`\varpropto`	$϶$	`\backepsilon`
$◀$	`\blacktriangleleft`	$▶$	`\blacktriangleright`
$∴$	`\therefore`	$∵$	`\because`

Table 15. Table 15: AMS negated relations (math mode)

$≮$	`\nless`	$≯$	`\ngtr`
$≰$	`\nleq`	$≱$	`\ngeq`
$⩽̸$	`\nleqslant`	$⩾̸$	`\ngeqslant`
$≦̸$	`\nleqq`	$≧̸$	`\ngeqq`
$⪇$	`\lneq`	$⪈$	`\gneq`
$≨$	`\lneqq`	$≩$	`\gneqq`
$≨$	`\lvertneqq`	$≩$	`\gvertneqq`
$⋦$	`\lnsim`	$⋧$	`\gnsim`
$⪉$	`\lnapprox`	$⪊$	`\gnapprox`
$⊀$	`\nprec`	$⊁$	`\nsucc`
$⋠$	`\npreceq`	$⋡$	`\nsucceq`
$⪵$	`\precneqq`	$⪶$	`\succneqq`
$⋨$	`\precnsim`	$⋩$	`\succnsim`
$⪹$	`\precnapprox`	$⪺$	`\succnapprox`
$≁$	`\nsim`	$≇$	`\ncong`
$∤$	`\nshortmid`	$∦$	`\nshortparallel`
$∤$	`\nmid`	$∦$	`\nparallel`
$⊬$	`\nvdash`	$⊭$	`\nvDash`
$⊮$	`\nVdash`	$⊯$	`\nVDash`
$⋪$	`\ntriangleleft`	$⋫$	`\ntriangleright`
$⋬$	`\ntrianglelefteq`	$⋭$	`\ntrianglerighteq`
$⊈$	`\nsubseteq`	$⊉$	`\nsupseteq`
$⫅̸$	`\nsubseteqq`	$⫆̸$	`\nsupseteqq`
$⊊$	`\subsetneq`	$⊋$	`\supsetneq`
$⊊$	`\varsubsetneq`	$⊋$	`\varsupsetneq`
$⫋$	`\subsetneqq`	$⫌$	`\supsetneqq`
$⫋$	`\varsubsetneqq`	$⫌$	`\varsupsetneqq`

Table 16. Table 16: Variable-sized symbols (math mode)

$\begin{matrix} \sum & \sum & \sum & ⋂ & ⋂ & \bigcap \\ \prod & \prod & \prod & ⋃ & ⋃ & \bigcup \\ ∐ & ∐ & \coprod & ⨆ & ⨆ & \bigsqcup \\ \int & \int & \int & ⋁ & ⋁ & \bigvee \\ \oint & \oint & \oint & ⋀ & ⋀ & \bigwedge \\ ⨀ & ⨀ & \bigodot & ⨂ & ⨂ & \bigotimes \\ ⨁ & ⨁ & \bigoplus & ⨄ & ⨄ & \biguplus \end{matrix}$

Table 17. Table 17: Delimiters (math mode)

$($	`(`	$)$	`)`
$[$	`[`	$]$	`]`
${$	`\{`	$}$	`\}`
$⌊$	`\lfloor`	$⌋$	`\rfloor`
$⌈$	`\lceil`	$⌉$	`\rceil`
$⟨$	`\langle`	$⟩$	`\rangle`
$/$	`/`	$\$	`\backslash`
$\|$	`\vert`	$∥$	`\Vert`
$↑$	`\uparrow`	$⇑$	`\Uparrow`
$↓$	`\downarrow`	$⇓$	`\Downarrow`
$↕$	`\updownarrow`	$⇕$	`\Updownarrow`
$⌜$	`\ulcorner`	$⌝$	`\urcorner`
$⌞$	`\llcorner`	$⌟$	`\lrcorner`

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Taxonomy

TopicsAstrophysics and Star Formation Studies · Galaxies: Formation, Evolution, Phenomena · Solar and Space Plasma Dynamics

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