1. The Mass and Isotope Distribution of Limiting Temperatures
of Limiting Temperatures for
hot nuclei
Liu Min Ou Li Li Zhu-Xia
China Institute of Atomic Energy
10/28/2019
The Mass and Isotope Distribution of Limiting Temperatures

2. The Mass and Isotope Distribution of Limiting Temperatures
CONTENTS
Limiting Temperature
Results of calculation
 Summary
10/28/2019
The Mass and Isotope Distribution of Limiting Temperatures

3.  Limiting Temperature
Infinite nuclear matter：T > Tc gas
Finite nuclear system：T > Tlim unstable
Coulomb instability Finite size effct
Tlim < Tc
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The Mass and Isotope Distribution of Limiting Temperatures

4. The Mass and Isotope Distribution of Limiting Temperatures
Nuclei along -stability line, equation of state (EOS)
PRC54, 1137(1996) etc.
 Nuclei away -stability line ，isospin dependent term of EOS
Surface tension
Limiting Temperature
Relate to
 Information of nucleon-nucleon interaction
Property of nuclei away -stability line
 Information of surface tension
10/28/2019
The Mass and Isotope Distribution of Limiting Temperatures

5. The Mass and Isotope Distribution of Limiting Temperatures
10/28/2019
The Mass and Isotope Distribution of Limiting Temperatures

6. The Mass and Isotope Distribution of Limiting Temperatures
10/28/2019
The Mass and Isotope Distribution of Limiting Temperatures

7. The Mass and Isotope Distribution of Limiting Temperatures
10/28/2019
The Mass and Isotope Distribution of Limiting Temperatures

8. The Mass and Isotope Distribution of Limiting Temperatures
Comparison of three surface tension
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The Mass and Isotope Distribution of Limiting Temperatures

9. The Mass and Isotope Distribution of Limiting Temperatures
Adopt Skyrme effect interaction
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The Mass and Isotope Distribution of Limiting Temperatures

10. The Mass and Isotope Distribution of Limiting Temperatures
 Results of calculation
Mass distribution of limiting temperatures
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The Mass and Isotope Distribution of Limiting Temperatures

11. The Mass and Isotope Distribution of Limiting Temperatures
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The Mass and Isotope Distribution of Limiting Temperatures

12. The Mass and Isotope Distribution of Limiting Temperatures
The isotope distribution of Tlim for light system is similar to
the yield distribution of multifragmentation in Exp.
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The Mass and Isotope Distribution of Limiting Temperatures

13. The Mass and Isotope Distribution of Limiting Temperatures
Compare the results of SLy7 and SKm*
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The Mass and Isotope Distribution of Limiting Temperatures

14. The Mass and Isotope Distribution of Limiting Temperatures
Isospin dependent surface tension raises the limiting temperatures of nertron- rich isotope
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The Mass and Isotope Distribution of Limiting Temperatures

15. The Mass and Isotope Distribution of Limiting Temperatures
Thermal stability line base on isotope distribution of limiting temperatures
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The Mass and Isotope Distribution of Limiting Temperatures

16. The Mass and Isotope Distribution of Limiting Temperatures
 Summary
Limiting temperatures decrease with the system size, which is independent of the force used.
Limiting temperature is sensitive to the effect N-N interaction and the surface tension. Moreover,symmetry-surface tension term makes limiting temperature curve more close to experimental data.
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The Mass and Isotope Distribution of Limiting Temperatures

17. The Mass and Isotope Distribution of Limiting Temperatures
The isotope distribution of limiting temperatures appears to be a parabolic shape. The centroid of the parabolic curve is not located at the isotope on -stability line(T=0) but incline to the neutron-rich side.
The symmetry-surface tension term raises limiting temperatures of neutron-rich isotopes.
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The Mass and Isotope Distribution of Limiting Temperatures

18. The Mass and Isotope Distribution of Limiting Temperatures
The thermal stability line for hot nuclei is more Neutron-rich compared to -stability line. And when the symmetry-surface tension term is taken into account, the thermal stability line shows a trend to Neutron-rich further more, especially for heavier nuclei.
The thermal stability line for hot nuclei is more Neutron-rich compared to -stability line. And when the symmetry-surface tension term is taken into account, the thermal stability line shows a trend to Neutron-rich further more, especially for heavier nuclei.
10/28/2019
The Mass and Isotope Distribution of Limiting Temperatures

19. The Mass and Isotope Distribution of Limiting Temperatures
[1] Zhu-Xia Li, Min Liu, Phys. Rev.C69, (2004)
[2] Min Liu, Zhu-Xia Li and Ji-Feng Liu, Chin. Phys. Lett. 20, 1706 (2003)
[3] Ou Li， Min Liu， Zhu-Xia Li and Ji-Feng Liu, HEP&NP, 2004, 28(11): (in Chinese)
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The Mass and Isotope Distribution of Limiting Temperatures

20. The Mass and Isotope Distribution of Limiting Temperatures
THE END
THANKS
10/28/2019
The Mass and Isotope Distribution of Limiting Temperatures