Relativistic extended chiral mean field model for finite nuclei

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Presentation transcript:

Relativistic extended chiral mean field model for finite nuclei Hiroshi Toki (RCNP/Osaka) Yoko Ogawa (RCNP/Osaka) Takayuki Myo (Osaka Inst. of Tech.) Kiyomi Ikeda (RIKEN) 2018/11/30 toki@riken

Variational calculation of light nuclei with NN interaction VMC+GFMC VNNN Fujita-Miyazawa C. Pieper and R. B. Wiringa, Annu. Rev. Nucl. Part. Sci.51(2001) Relativistic Pion is a key element 2018/11/30 toki@riken

General feature of nucleon-nucleon interaction Nucleus using NN interaction Strong tensor interaction (pion: chiral symmetry) Strong short range repulsion (quark: confinement) Deuteron wave function V 1fm r Strong short range repulsion (Quark structure) s d -50 (MeV) Strong tensor interaction (Pion exchange) 2018/11/30 toki@riken Central dip and D-wave component

Tensor optimized shell model Myo Ikeda Toki Tensor correlation TOSM Short-range correlation UCOM 2018/11/30 toki@riken

V coordinate vs. T coordinate TOSM+UCOM with AV8’ (Myo Toki Ikeda) Kamada et al. PRC(2002) T Few body Framework Hiyama Suzuki VLS More Tensor!! E VC VT 2018/11/30 toki@riken V coordinate vs. T coordinate

Picture of nucleus proton Snapshot neutron pionic pair 2018/11/30 toki@riken

Nucleon is made of quarks QCD -- Confinement + Chiral Symmetry NJL(Nambu-Jona-Lasinio) Quarks massive + Pion (NG boson) Hadronization (Eguchi-Sugawara:1976) Chiral sigma model (Toki-Weise:2008) Want to make nucleus with chiral symmetry 2018/11/30 toki@riken

Relativistic chiral mean field model jj Relativistic chiral mean field model LS Ogawa Toki Relativistic mean field model with pion Toki, Sugimoto, Ikeda, PTP(2002) Relativistic charge and parity projected chiral mean field model Ogawa, Toki,.., PRC(2004),PRC(2006) Spin-orbit splitting and jj-closed shell nuclei Only surface effect of pion 2018/11/30 toki@riken

Pion has volume effect (Pion is important in nuclear matter) p-h L Kaiser, Fritsch, Weise, NPA697(2002) G. Brown, Book qmax~2kF~3fm-1 (Akaishi) Tensor force is important!! qmax R ~ Lmax 2018/11/30 toki@riken

Relativistic extended chiral mean field model Ogawa,Toki (2008) Linear Sigma Model Lagrangian Sigma condensation (NJL mechanism) produces finite masses. 2018/11/30 toki@riken Weinberg transformation

Hadrons get mass Non-linear sigma model Two free parameters: Sigma meson mass Omega-nucleon coupling 2018/11/30 toki@riken

Relativistic extended chiral mean field model Nucleon + sigma and omega Sigma+omega model with one pion exchange p h p’ h’ qmax R ~ Lmax Pionic quantum number 6 for 4He 2018/11/30 toki@riken

Self-consistent variational calculation Mean field equation Nucleon 2p-2h states Oset-Toki-Weise formulation, Phys.Rep.(1984) 2018/11/30 toki@riken

RECMF model results bmax~0.7fm Jmax~6 bs=1.4fm 2018/11/30 toki@riken

RECMF model results (2) 2018/11/30 toki@riken

RECMF model results (3) M is reduced by 10~15% Chiral symmetry is partially recovered! 2018/11/30 toki@riken

Conclusion We construct Relativistic Extended Chiral Mean Field model for finite nuclei We have calculated 4He in RECMF and found quantitatively satisfactory results We can move to medium heavy nuclei 2018/11/30 toki@riken