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Magnetic susceptibility in neutron stars with hadron-quark transition

Magnetic susceptibility in neutron stars with hadron-quark transition. W.Z.Jiang （ Shanghai Institute of Applied Physics) N.Van Giai (Institut de Physique Nucleaire, Orsay, France). Motivation de Hass-van Alphen (HVA) Oscillations Composition in neutron stars & Nuclear EOS

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Magnetic susceptibility in neutron stars with hadron-quark transition

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  1. Magnetic susceptibility in neutron stars with hadron-quark transition W.Z.Jiang （Shanghai Institute of Applied Physics) N.Van Giai (Institut de Physique Nucleaire, Orsay, France)

  2. Motivation de Hass-van Alphen (HVA) Oscillations Composition in neutron stars & Nuclear EOS HVA Oscill. & Hadron-quark transition Brief summary

  3. Motivation • Strong magnetic field in neutron stars (NS) >1012G • Landau diamagnetism and HVA oscillation • Uncertainty of Nuclear EOS and NS properties Another way • Signal of Hadron-quark phase transition

  4. Magneton and susceptibility Hamitonian With M the magneton obtained from the spin and orbital motion Susceptibility Bohr Magneton

  5. Paramagnetism from spin Special case Landau level, orbital motion

  6. General case • Consider paramagnetic and diamagnetic energy • Schrodinger equation • Dirac equation

  7. HVA oscillation At strong field T=0，it has

  8. Composition in neutron stars • Neutron, Proton, Electron, neutrino equilibrium and charge neutral conditions:

  9. Nuclear EOS

  10. Susceptibility of neutron star

  11. HVA Oscillation

  12. 中子星强磁场中的HVA振荡和相变 Yd 0.1, Yu 0.07

  13. A Brief Summary • Amplitude drops and Frequency increases with the drop of B • Susceptibility Hadron-quark transition HVA Amplitude, Frequency, Wave shape • HVA oscillation modifies the field by about 6% to appear in IJMPA 21(2006)2201 • Outlook: Fermi Surface rearrangement to HVA oscillation

  14. 山川異域風月同天 寄諸佛子 共結來緣 May of 763 (A.D.) Nirvara bana (nie pan) 奈良唐招提寺

  15. Thank you！

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