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Nucleosynthesis Big Bang Nucleosynthesis light elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen burning, triple-α process

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Page 1: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

NucleosynthesisBig Bang Nucleosynthesis light elements, deuterium bottleneck

Nuclear Reactions in Stars hydrogen burning, triple-α process

Page 2: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

BBN板書

Page 3: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Nuclear binding energymi = Zmp + N mn -EB/c2

Page 4: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Stellar synthesis: pp-chain

Page 5: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Solar neutrinoppII

ppIII

e+7Be → 7Li + ν (electron capture) 8B → 8Be + e+ +ν

Page 6: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

CNO cycle

Page 7: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen
Page 8: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Triple-α process4He + 4He ⇄ 8Be

8Be + 4He → 12C + γ 8Be は不安定で、10-16 秒で崩壊する。その間に都合のよいエネルギーの4Heをぶつけなくてはならない(3体反応)。初期宇宙ではこの過程に至らない

Page 9: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

In the beginning...

H, He, DM,γ

Page 10: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Galaxy formation✦ Formation of nonlinear “halos”

✦ Formation and evolution of a hot gas

✦ Cooling and condensation

✦ Star formation

✦ Formation of blackholes

Page 11: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Hierarchical galaxy formation

Page 12: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Evolution of a halo gasStar are formed in a cold, dense, molecular gas.

Gravity alone does not make it. Gravitational collapse compresses and heats the gas.

A mechanism to cool a gas cloud is needed.

Radiative cooling removes the excess energy

(i.e., lowers the gas pressure) and makes it possible

for the gas to cool and condense.

Radiative cooling operates only if there are coolants.

Page 13: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Radiative cooling

金属量HHe+

Page 14: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Collisional excitationMost important : Hydrogen Lyman-a line

H(n=1) + e → H(n=2) + eH(n=2) → H(n=1) + g

Excitation to a higher level+ spontaneous emission

Page 15: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Recombinationp + e → H + gHe+ + e → He + gHe++ + e → He+ + gand similar processes for metal ions

Each process emits photon(s) with energy of ionization potential,i.e. 13.6eV for hydrogen

Page 16: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

BremsstrahlungIon (H+, He+, He++) + e → ion + e

g

Page 17: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Contribution of metals

Page 18: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Bottom-up scenario

Hierarchical mergers and

gas cooling, condensation

tcool < tdyn

Page 19: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Star-formation in a galaxy

Turbulence

Cosmic rays

Supernovae

Stellar windsRadiation

Page 20: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

OrionVisible IR

Giant Molecular Cloud

Page 21: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Schmidt law in MWSFR estimated from FIR

Misiriotis et al. 2006

Page 22: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Kennicutt-Schmidt law

normal disk

star-burst

centers

ΣSFR (Msun/yr/pc2) = Coeff. xΣgas 1.4 (Msun/pc2)

Page 23: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Scalo IMF

Page 24: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Core mass functionPipe nebula

Alves, Lombaridi, Lada 2007

Page 25: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Core mass function

テキスト

Andre et al. 2007

Page 26: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Turbulent ISMHigh-density clouds in a supersonic, compressible turbulence.

Page 27: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

The role of blackholes

Page 28: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Jets from the center

Page 29: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Radio lobes around a BHM87

Energy input from the central blackhole.

Initially as a dipolar relativistic jets

Cocoons and bubbles are formed

Page 30: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

BH in Milky Way!

Page 31: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen
Page 32: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen
Page 33: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

HST monitoring

Page 34: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

The Magorrian relation

Page 35: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

M-σ relation at small M

Barth, Greene, Ho 2005

Page 36: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

How can a BH influence the host galaxy ?

The Schwarzschild radius for a BH with M is r = 2GM / c2

r ~ 3 km for 1 Msunr << 1 pc even for 108 Msun

The radius of gravitational influence isr BH = GM/σ2 = 10.8 pc (M/108) (σ/200 km/sec)-2

Page 37: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Quasar SDSS J1148+5251VLACO(3-2)@z=6.42 (870 Myr)

MBH ~ 3x109 Msun

FIR luminosity 1.3x1013 Lsun

Page 38: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

The Eddington rateThe Eddington luminosity

The radiative efficiency

Salpeter time: M/Mdot ~ 4 x 107 year      f for ε = 0.1.

L = ε M c2

Page 39: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

宇宙初期のSMBH宇宙年齢7億7千万年の頃に存在した、太陽の20億倍のブラックホール

VLT FORS + Gemini NIRS

Page 40: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

Quiz 4: 時間リミットz=7にあるSMBHの何が問題なのか

計算して理解しよう。初期宇宙ではブラックホールは全てEddington限界で成長するという(やや無理な)仮定をたてる。radiative efficiency εr = 0.1 として、Salpeter time はtBH = 4 x 107 年。この時間でBHは質量をもとの e 倍にすることができる。始めの種として、大質量星の重力崩壊によりできるBHを考え、その質量を10 Msunとする。10 Msun のBHが降着により 3x109 Msun になるには(つまり3x108倍質量を増やすには)何年必要か。

Page 41: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

SMBH formation @ z>6Li et al. 2007Merging and gas accretion ontoPopIII remnants

Almost alwaysat Eddington rateat z~6, to become 109Msun

Page 42: Big Bang Nucleosynthesis light elements, deuterium ...member.ipmu.jp/naoki.yoshida/Lectures/ModernCosmology4.pdflight elements, deuterium bottleneck Nuclear Reactions in Stars hydrogen

BH feedback model