Energy equipartition in globular clusters through the eyes of dynamical models

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Table 1

Outline of parameters for the analyzed GCs.

ID	α ⁽¹⁾	m_eq⁽²⁾ (M_⊙)	m_eq(M_⊙)	Φ₀(M_⊙⁻¹)	σ_0,B (mas yr⁻¹)	σ₀ (mas yr⁻¹)	$χ_{B}^{2}$ $\chi _{\rm{B}}^2$	χ²
NGC 104	−0.65	${1.37}_{- 0.13}^{+ 0.16}$ $1.37_{ - 0.13}^{ + 0.16}$	1.29 ± 0.15	15.3 ± 1.1	0.727 ± 0.022	0.690 ± 0.004	8.52	8.23
NGC 5139	−0.80	${2.82}_{- 0.30}^{+ 0.38}$ $2.82_{ - 0.30}^{ + 0.38}$	2.82 ± 0.43	5.67 ± 0.58	0.772 ± 0.014	0.749 ± 0.002	13.76	14.21
NGC 5904	−0.76	${1.53}_{- 0.51}^{+ 1.26}$ $1.53_{ - 0.51}^{ + 1.26}$	1.26 ± 0.43	14.2 ± 3.7	0.275 ± 0.026	0.260 ± 0.003	7.56	7.57
NGC 6266	−1.14	${1.30}_{- 0.39}^{+ 0.91}$ $1.30_{ - 0.39}^{ + 0.91}$	1.12 ± 0.25	17.5 ± 5.3	0.584 ± 0.044	0.556 ± 0.005	4.11	4.17
NGC 6341	−0.82	${1.23}_{- 0.36}^{+ 0.81}$ $1.23_{ - 0.36}^{ + 0.81}$	1.07 ± 0.18	18.0 ± 2.4	0.254 ± 0.014	0.244 ± 0.002	2.75	2.65
NGC 6397	−0.32	${1.85}_{- 0.56}^{+ 1.21}$ $1.85_{ - 0.56}^{ + 1.21}$	1.55 ± 0.33	17.0 ± 2.4	0.535 ± 0.022	0.510 ± 0.008	3.50	3.48
NGC 6656	−0.90	${1.30}_{- 0.23}^{+ 0.39}$ $1.30_{ - 0.23}^{ + 0.39}$	1.32 ± 0.27	10.7 ± 2.0	0.758 ± 0.038	0.716 ± 0.006	6.42	6.46
NGC 6752	−0.67	${2.49}_{- 0.56}^{+ 1.01}$ $2.49_{ - 0.56}^{ + 1.01}$	2.42 ± 0.61	12.4 ± 1.0	0.432 ± 0.013	0.419 ± 0.004	6.46	6.63

Notes. Table columns: ID, mass function slope (1), equipartition mass from (2) and our fitting with the Bianchini function, estimated Φ₀, scaling velocity dispersion σ_0,B and σ₀ (in milliarcseconds) and χ² test value for both the Bianchini fitting function (with a B subscript) and our model prediction. (1) Baumgardt et al. (2023); (2) Watkins et al. (2022).

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