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Apr 10, 2024 152 likes •309 views

Explaining Diverse Rotation Curves of Spiral Galaxies with Self-Interacting Dark Matter (SIDM) Tao Ren (UC Riverside) @ DPF 2017 with Hai-Bo Yu (UCR), Anna Kwa, Manoj Kaplinghat (UCI) Data Source: SPARC Diversity in Rotation Curves 1606.09251

SLIDE 1

Explaining Diverse Rotation Curves of Spiral Galaxies with Self-Interacting Dark Matter (SIDM)

Tao Ren (UC Riverside) @ DPF 2017

with Hai-Bo Yu (UCR), Anna Kwa, Manoj Kaplinghat (UCI)

SLIDE 2

2 4 6 8 10 12 10 20 30 40 50 60

Radius [kpc] Vcirc [km/s]

Vf ~ 55.9-62.2 km/s UGCA442 UGC08550 UGC07690 DDO170

5 10 15 20 40 60 80 100

Radius [kpc] Vcirc [km/s]

Vf ~ 79.5-87.6 km/s UGC05721 UGC08286 UGC06399 F583-1

5 10 15 20 20 40 60 80 100 120 140

Radius [kpc] Vcirc [km/s]

Vf ~ 134.-144. km/s NGC2403 F571-8 NGC3972 NGC3917

10 20 30 40 50 60 70 50 100 150 200 250 300

Radius [kpc] Vcirc [km/s]

Vf ~ 211.-247. km/s UGC06786 IC4202 UGC09133 NGC6195

Diversity in Rotation Curves

Data Source: SPARC 1606.09251

SLIDE 3

Headache for Cold Dark Matter (CDM)

50 100 200 20 50 100 200

Vf [km/s] Vcirc(2 kpc) [km/s]

c200 = (100.905+δ⇤0.11)( M200 1012 ∗ h1M )0.101

DM + Baryon

Halo Mass (M200) & Concentration (c200)

A. A. Dutton et al. (2014)

CDM only

SLIDE 4

Examples for the Trouble

😆 😥

K. A. Oman et al. (2015)

Vcirc [km/s] Radius [kpc]

SLIDE 5

0.01 0.10 1 10 100 104 106 108 1010 1012 ρ( ) /

NFW SIDM Radius [kpc] 𝜍(r) [M⦿/kpc3]

SIDM & CDM Density Profile

How SIDM works: Self-Interaction + Baryon Effect + M200-c200 Relation

CDM : 1504.01437

∼ exp[−ΦDM(~ r)/2

∼ exp[−(ΦDM(~ r) + ΦB(~ r))/2

PDF

SLIDE 6

2 4 6 8 10 12 10 20 30 40 50 60

Radius [kpc] Vcirc [km/s]

Vf ~ 55.9-62.2 km/s UGCA442 UGC08550 UGC07690 DDO170

5 10 15 20 40 60 80 100

Radius [kpc] Vcirc [km/s]

Vf ~ 79.5-87.6 km/s UGC05721 UGC08286 UGC06399 F583-1

5 10 15 20 20 40 60 80 100 120 140

Radius [kpc] Vcirc [km/s]

Vf ~ 134.-144. km/s NGC2403 F571-8 NGC3972 NGC3917

10 20 30 40 50 60 70 50 100 150 200 250 300

Radius [kpc] Vcirc [km/s]

Vf ~ 211.-247. km/s UGC06786 IC4202 UGC09133 NGC6195

SIDM Fitting Examples

Kamada, Kaplinghat, Pace, Yu, (2016)

SLIDE 7

😥

Radius [kpc] SIDM: the “Aspirin” for “Headache”

😄

IC2574, δ:-2.5 2 4 6 8 10 12 20 40 60 80

F583-1, δ:0. 5 10 15 20 40 60 80 100

Vcirc [km/s] SIDM

SLIDE 8

Fitting to 120 Galaxies

SIDM (120/120) CDM (113/120)

2 4 6 8 10 20 40 60 80 100

χ2/d.o.f Number of galaxies

SLIDE 9

Radial Acceleration Relation

From Diversity to Uniformity

McGaugh, Lelli, Schombert, Pawlowski (2017)

12 -11 -10
9
8
12
11
10
9
8

log(gbaryon) [m/s2] log(gtot) [m/s2]

0.6 -0.4 -0.2

0.0 0.2 0.4 0.6 100 200 300 400

Residuals (dex) Number of Points

g†=1.2×10-10 m/s2 σ=0.106 dex

gobs = gbar 1 − e−√

gbar/g†

SLIDE 10

Summary

Diversity in rotation curves of spirals Trouble of CDM How SIDM works : Self-Interaction+Baryon effect+M200-c200 Fitting results for 120 galaxies Radial acceleration relation

SLIDE 11

Back Up Slides & Supporting Information

SLIDE 12

Self-interaction & Velocity Dispersion

SLIDE 13

Velocity Dependent Cross Section

Kaplinghat, Tulin, Yu (2015)

SLIDE 14

SIDM Model Example & Parameter Measurement

SLIDE 15

20 50 100 200 10 20 50 100 200

Vmax [km/s] Vflat [km/s]

20 40 60 80 100 20 40 60 80 100 Vmax [km/s] Vflat [km/s]

Possible Too-Big-To-Fail Problem in SIDM