18-19 Settembre 2006 Dottorato in Astronomia Università di Bologna
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Transcript of 18-19 Settembre 2006 Dottorato in Astronomia Università di Bologna
Hydrostatic equilibriumMass
continuity
Energy transport
Energy conservation
Chemical evolution
Stellar models: basic ingredients
An example: the pp chain
p+p D+e+
+ D+p 3He+
3He+4He 7Be+3He+3He 4He+2p
7Be+e- 7Li+7Li+p 4He+4He
7Be+p 8B+8B 8Be+e+
+8Be 4He+4He
14N(p,)15O@LUNA
0E+00
2E+00
4E+00
6E+00
8E+00
1E+01
0 50 100 150 200 250 300 350 400
E (keV)
S-f
acto
r (k
eVb)
solid target tot
gas-target
MS
RG
B-A
GB
NO
VA
E
Depth of the convective envelopeas a function of time
Base of the convective envelope
H-burning shell
1M
Z=0.02
Salted envelope
C-red
N-blue
O-black
Initial abundance
1 M 3 M 5M
4He 0.280 0.301 0.295 0.2943He 3.54E-5 1.44E-3 1.70E-4 9.35E-512C 3.36E-3 2.93E-3 2.09E-3 2.11E-313C 4.04E-5 1.03E-4 1.03E-4 1.06E-414N 9.91E-4 1.42E-3 2.70E-3 2.78E-315N 3.90e-6 2.91e-6 1.86E-6 1.84e-616O 9.22E-3 9.22E-3 8.86E-3 8.75E-317O 3.73E-6 3.79E-6 3.86E-5 2.08E-518O 2.08E-5 2.00E-5 1.50E-5 1.51E-519F 4.90E-7 4.98E-7 4.72E-7 4.56E-7
He ignition in degenerate core
The high densitydeveloped near the center induces the production of thermalneutrinos by plasma Oscillations and themaximumtemperature move off center
Convective envelope
4He,14N
12C,16O
H5 M
Z=0.02 Y=0.28
Early-AGB: the second dredge up
Initial abundance
after
I du
after
II du
4He 0.280 0.294 0.328
3He 3.54E-5 9.35E-5 8.66E-5
12C 3.36E-3 2.11E-3 1.97E-313C 4.04E-5 1.06E-4 1.04E-4
14N 9.91E-4 2.78E-3 3.31E-3
15N 3.90e-6 1.84e-6 1.72E-6
16O 9.22E-3 8.75E-3 8.33E-3
17O 3.73E-6 2.08E-5 2.09E-518O 2.08E-5 1.51E-5 1.41E-5
19F 4.90E-7 4.56E-7 4.31E-7
The onset of the thermal pulses
Convective envelope
H-shell
He-shell CO core
The E-AGB terminates when the H shell re-ignites, while the He shell dies down.
When the mass of the intershell region exceeds a certain critical value, the He shell suffers a thermal instability.
Thermal instability & nuclear runaway
Temperature evolution in the intershell zone
Nuclear energy production in theintershell zone
Third dredge up and 13C pocket
After the thermal pulse the envelope expands and cools down.
The H shell becomes inactive and the convective envelope can penetrate the H/He discontinuity, bringing to the surface the ashes of the He burning: 12C and s-elements.
13C pocket
time
M
TP
TP
p
Third dredge up
1)Few protons diffuse below the base of the convective envelope, where about 20% of the mass is made of carbon.
2)When the H shell re-ignites, a 13C pocket is produced by the 12C+p reaction.
3) During the interpulse, the temperature in the pocket becomes larger than 90x106 K and neutrons are realized by the 13C+reaction.
Neutron sources: 22Ne(,n)25Mg
CNO 14N CNO-burning
14N(18F(18O(22Ne He-burning
T6>300
up to 1011 neutrons/cm3
Covective shell generated by a TP in IMS
PRIMARY
Neutron sources: 13C(,n)16O
Few protons injected into a C-rich zone
12C(p13N(13C
T6>100
106-107 neutrons/cm3
intershell zone during the interpulse in LMS & IMS
PRIMARY
The formation of the 13C pocket
In this model, an exponential decay of the convective velocity has been assumed below the convectively unstable zone.
H black
13C red 12C green
14N blue