Spectral ageing analysis and dynamical analysis of the double-double radio galaxy J1548–3216

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Table A.1:

Notations for the free parameters in the DYNAGE algorithm and other physical parameters used through the paper.
Symbol	Dimension	Parameter
	Model	free parameters to be assumed
a₀	[kpc]	radius of central core
$\beta$	[dim. less]	exponent of ambient medium-density profile
$\gamma_{\rm min}$ , $\gamma_{\rm max}$	[dim. less]	Lorentz factors of relativistic particles
$\Gamma_{\rm jet}$ , $\Gamma_{\rm B}$ , $\Gamma_{\rm x}$ , $\Gamma_{\rm c}$	[dim. less]	adiabatic indices of the jet, magnetic field,ambient medium, and cocoon as a whole
$\zeta$	[dim. less]	initial ratio of energy density of the magnetic field to that of particles
$k^{\prime}$	[dim. less]	ratio of energy density of thermal particles to that of relativistic ones
$\theta$	[ $^{\circ}$ ]	orientation of the jet's axis
	Model	parameters to be fitted
$\alpha _{\rm inj}$	[dim. less]	injection spectral index
t	[Myr]	dynamical age
$Q_{\rm jet}$	[W]	jet power
$\rho_{0}$	[kg m^-3]	central core density
	Other	physical parameters
$\beta_{\rm sc.A}$ , $\beta_{\rm sc.B}$	[dim. less]	exponents of ambient density profile in the self-consistent age solution A and B
$p_{\rm hs}$ , $p_{\rm min}$ , $p_{\rm c}$	[N m^-2]	hot-spot pressure, its minimum (equipartition) pressure, and cocoon pressure
$u_{\rm e}$ , $u_{\rm B}$ , $u_{\rm c}$	[J m^-3]	energy density of relativistic particles, in magnetic field, and in cocoon as a whole
$U_{\rm out}$ , $U_{\rm inn}$	[J]	total energy radiated from outer and inner lobes
B, $B_{\rm eqv}$ , $B_{\rm iC}$	[nT]	strength of magnetic field, equipartition field, and inverse-Compton field
k	[dim. less]	ratio of energy density of relativistic particles to that of electrons
$n_{\rm p}$ , $n_{\rm e}$ , $n_{\rm g}$	[m^-3]	proton, electron number density, and cold-gas number density
$m_{\rm p}$	[kg]	proton mass
$\rho_{\rm a}$	[kg m^-3]	ambient medium density
$\langle t_{\rm i}\rangle$	[Myr]	mean of t fit for the opposite lobes; i $\Rightarrow$ out, inn
$\langle Q_{\rm jet,i}\rangle$	[W]	mean of $Q_{\rm jet}$ fit for the opposite lobes
$\langle\rho_{0,{\rm i}}\rangle$	[kg m^-3]	mean of $\rho_{0}$ fit for the opposite lobes
$\langle\rho_{\rm a,i}\rangle$	[kg m^-3]	mean of $\rho_{\rm a}$ derived for the opposite lobes
$\tau_{\rm syn}$	[Myr]	spectral (synchrotron) age
$\nu _{\rm br}$	[GHz]	frequency of spectral break

Notes. (excluding observational parameters of the radio source: D, $R_{\rm T}$ , V, $P_{\nu}$ , $\alpha_{\nu}$ , defined in the text).

Source LaTeX | All tables | In the text

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