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Stellar neutrino emission at finite temperature in relativistic mean field theory

Quarks and Compact Stars 2014, October, 20-22 , 2014 , Beijing, China. Stellar neutrino emission at finite temperature in relativistic mean field theory. Jinniu Hu. School of Physics, Nankai University. Jinniu Hu. 11/20/13. 20/10/2014. 1. Outline. Introduction

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Stellar neutrino emission at finite temperature in relativistic mean field theory

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  1. Quarks and Compact Stars 2014, October, 20-22, 2014, Beijing, China Stellar neutrino emission at finite temperature in relativistic mean field theory Jinniu Hu School of Physics, Nankai University Jinniu Hu 11/20/13 20/10/2014 1

  2. Outline • Introduction • Theoretical framework • Numerical results • Summary and perspective Jinniu Hu 20/10/2014

  3. The origin of neutron star http://www.seasky.org/celestial-objects/stars.html 20/10/2014 Jinniu Hu

  4. Neutron star cooling D.G. Yakovlev, A.D. Kaminker, O.Y. Gnedin, P. Haensel, Phys. Rep. 354(2001)1 Direct Urca process Modified Urca process NN bremsstrahlung process Jinniu Hu 20/10/2014

  5. The research status: from the point of neutron star matter • Fermi gas model： • J.M. Lattimer, C. J. Pethick, M. Prakash, and P. Haensel, • Phys. Rev. Lett. 66(1991)2701 • Relativistic mean field theory (σ,ω,ρ)： • L. B. Leinson, and A. Pérez, Phys. Lett. B 518(2001)15 • L. B. Leinson, Nucl. Phys. A 707(2002)543 • G. Shen, J. Meng and, G. C. Hillhouse G. C. HEP&NP, Supp. 28(2004)99 • W. B. Ding, G. Z. Liu, M. F. Zhu, Z. Yu, and E. G. Zhao, A&A 506 (2009)L13 • Relativistic mean field theory (σ,ω,ρ,δ)： • Y. Xu, G. Z. Liu, C. Z. Liu, C. B. Fan, H. Y. Wang, M. F. Zhu and, E. G. Zhao, • Chin. Phys. Lett. 30(2013)129501 • Brueckner-Hartree-Fock theory： • M. Baldo, G. F. Burgio, H.-J. Schulze, and G. Taranto, Phys. Rev. C 89(2014)048801 20/10/2014 Jinniu Hu

  6. Proton-neutron effective mass splitting in relativistic mean field (RMF) theory • Scalar isovector meson in Hartreeapproximation • Relativistic Hartree-Fock approximation X. Roca-Maza, X. Vinas, M. Centelles, P. Ring, and P. Schuck, Phys. Rev. C 84(2011) 054309 W. L. Long, N. Van Giai, J. Meng, Phys. Lett. B 604(2006) 150 σ,ω,ρ,π σ,ω,ρ,π Jinniu Hu 20/10/2014

  7. Outline • Introduction • Theoretical framework • Numerical results • Summary and perspective Jinniu Hu 20/10/2014

  8. Direct Urca process D.G. Yakovlev, A.D. Kaminker, O.Y. Gnedin, P. Haensel, Phys. Rep. 354(2001)1 • Neutrino emissivity Q(D) • The matrix element of the neutron beta decay GF , C, CV , CM , CAare the coupling constants in weak interaction and Fq is the form factor Jinniu Hu 20/10/2014

  9. Direct Urca process • Fermi–Dirac distribution • The Neutrino emissivity in non-relativistic limit where, and Jinniu Hu 20/10/2014

  10. The neutrino emissivity in other processes • The modified Urca (MU) processes • The NN bremsstrahlung (BNN) processes Jinniu Hu 20/10/2014

  11. RMF theory in finite temperature • Lagrangian • Energy density B. Liu, V. Greco, and V. BaranPhys. Rev. C 65(2002)045201 • Pressure density • Effective nucleon mass in RMF theory • Fermion and antifermion distribution functions 20/10/2014 Jinniu Hu

  12. Outline • Introduction • Theoretical framework • Numerical results • Summary and perspective Jinniu Hu 20/10/2014

  13. The properties of nuclear matter Nuclear matter npe neutron star matter T=0 Yp: proton fraction NLδ : B. Liu, V. Greco, and V. Baran Phys. Rev. C 65(2002)045201 DD-MEδ : X. Roca-Maza, X. Vinas, M. Centelles, P. Ring, and P. Schuck, Phys. Rev. C 84(2011) 054309 20/10/2014 Jinniu Hu

  14. The critical density of Direct Urca process at T=0 20/10/2014 Jinniu Hu

  15. Reduction factors Mij at finite temperature NLδ Jinniu Hu 20/10/2014

  16. Reduction factors Mij at finite temperature DD-MEδ Jinniu Hu 20/10/2014

  17. Proton fractions at npe neutron matter L. W. Chen, F. S. Zhang, Z. H. Lu, W. F. Li, Z. Y. Zhu, and H. R. Ma, Jour. Phys. G 27 (2001)1799 A. Li, X. R. Zhou, G. F. Burgio, and H. –J Schulze, Phys. Rev. C 81(2010)025806 20/10/2014 Jinniu Hu

  18. Reduction factors: NLδ VS DD-Meδ T=0 Jinniu Hu 20/10/2014

  19. Reduction factors: δ meson effect M13 M31 M11 M04 M40 M22 DD-ME2: G. A. Lalazissis, T. Niksi´, D. Vretenar, and P. Ring, Phys. Rev.C 71 (2005)024312 DD-MEδ: X. Roca-Maza, X. Vinas, M. Centelles, P. Ring, and P. Schuck, Phys. Rev. C 84(2011) 054309 20/10/2014 Jinniu Hu

  20. The effective proton and neutron masses: DD-ME2 VS DD-MEδ npe NM Jinniu Hu 20/10/2014

  21. Outline • Introduction • Theoretical framework • Numerical results • Summary and perspective Jinniu Hu 20/10/2014

  22. Summary1. We study the neutrino emissivity at finite temperature in relativistic mean field theory.2. The neutrino emissivity in non-relativistic limit is mainly determined by the nucleon effective masses.3. The neutrino emissivity becomes larger at high temperature and suppressed at large density.4. The isovector meson is very important in neutrino emission, which generates the proton-neutron mass splitting. Perspectives1. The relativistic beta decay matrix elements2. The effective mass splitting from Fock term3. The neutrino emissivity in strangeness freedom …… 20/10/2014 Jinniu Hu

  23. Thank you very much for your attention! Jinniu Hu 20/10/2014

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