1 / 27

Hidden Local Symmetry and Correlations of Nucleons in Nuclear Matter

Ji-sheng Chen Phys. Dep. & Institue Of Particle Phys. , CCNU, Wuhan 430079 With P.-F Zhuang (Tsinghua Univ.) , J.-R Li(CCNU) and M. Jin (Tsinghua Univ.). Hidden Local Symmetry and Correlations of Nucleons in Nuclear Matter. Contents. Motivation Correlations:

nura
Download Presentation

Hidden Local Symmetry and Correlations of Nucleons in Nuclear Matter

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Ji-sheng Chen Phys. Dep. & Institue Of Particle Phys. , CCNU, Wuhan 430079 With P.-F Zhuang (Tsinghua Univ.) , J.-R Li(CCNU) and M. Jin (Tsinghua Univ.) Hidden Local Symmetry and Correlations of Nucleons in Nuclear Matter

  2. Contents • Motivation • Correlations: a. Superfluidity with screening effects b. Novel EM interactions on the correlations of nucleons in nuclear matter with Proca Lagrangrian 3. Conclusions and prospects

  3. 1. Motivation • Phase transtion • ~ changes of symmetry is the central topic of physics (nuclear physics, condensed physics, high energy etc.) • “Vacuum ” physics attracts much attention. • Heavy ion collisions’ goal:High T/ρ Physics, • Medium effects? Many-body Physics?

  4. EOS and pairing correlation:a hot topic in temporary physics • Full description of Nuclear Matter Phase diagram • Astrophysics • Heavy ion collisions Widely discussed in the literature and attract much attention. Conclusion can not be made up to now!

  5. 2a, Screening effects on 1S0 correlation J.-S Chen, P.-F Zhuang and J.-R Li, Nucl-th/0309033, Phys. Lett.B585, 85 (2004), Crucial: interactionpotentialmedium dependent induced by polarization Inspired by Phys.Lett. B445 (1999) 254, with the proposal by R. Rapp et al., “in-medium bonn potential…”, Phys.Rev.Lett. 82 (1999) 1827. Polarization effects are discussed within the original version of quantum hadrodynamics(QHD).

  6. Superfluidity in nuclear matter:a longstanding issue • Bohr, B.R. Mottelson, and D. Pines, Phys. Rev. 110, 936 (1958) to interpret some puzzles in nuclear theory. Qualitatively or quantitatively, not unique yet! Various approaches tried and gave quite different results • “standard” but non-relativistic, J. Decharge and D. Gogny, Phys. Rev. C 21, 1568 (1980). • Relativistic continuous field theory, H. Kucharek and P. Ring, Z. Phys. A 339, 23 (1991). Attention: • A,Quite unacceptable numerical results of superfluidity with frozen meson propagators. • B,Screening effects widely discussed within the frame of nonrelativistic frame!

  7. 2b,Broken U(1) EM symmetry related with LG phase transition and breached pairing(NN, NP) strengthsnucl-th/0402022,J.-S Chen, J.-R Li and M. Jin,An improved version will be accessible soon.

  8. Motivation • The unrealistic and very uncomfortablenon-zero gaps at zero baryon density with QHD existed in the literature • Anderson-Higgs mechanism and electric-weak theory, super-symmetry theory • The quite different negative scattering lengths of nucleons!

  9. Framework: relativistic nuclear field theory (QHD), agood one to discuss symmetry physics • QHD hidden Chiral symmetry (QCD characteristic? the parametric description of residual strong interaction between nucleons): G.-E Brown et al., NPA596(1996) 503; G. Gelmini et al., PLB 357 (1995) 431. • How about “weak” EM symmetry? Important non-saturating coulomb interaction role on the EOS? Multi-canonical formalism Phys.Rev.Lett. 91 (2003) 202701, argued the theoretical background needs to be explored.

  10. Why? • Not-empty of realistic ground state with mean field theory approach! Nonzero electric charge of protons and charged clusters • Infrared singularity of photon propagator even with Fock exchange term ~point-like interaction model(s) ; Furry theorem’s limit: direct Hartree contribution can not be included, theoretically! • Empirically, quite different negative scattering lengths with Charge Breaking Symmetry (CSB) between various nucleons (Phys.Rev. C69 (2004) 054317)

  11. How?Constructed a Proca-like model • Lagrangian (not Maxwell EM formalism?) with a parametric photon mass

  12. Effective potential, EOS:mean field theory approximation

  13. EOS for charged nuclear matter in Heavy Ion Collision

  14. Coulomb Compression Modulus & The fraction ratio

  15. For charge neutralized

  16. Solid limit for photon parameter mass

  17. Physical understanding for “photon mass”? • Just for the parametric description of EM interaction? EM interaction is mixed with other residual strong ones. • Deep reasoning: responsible for the nucleon structure. EM field is mixed with gluon etc. and obtains virtual mass? • Infrared singularity~ gluon condensation, confinement. In deed, how to “appropriately” dispose proton is a puzzle to some extent even in standard model.

  18. Powerful if done like so • EM breaking (U(1) electric charge symmetry Breaking CSB) ~ SU(2) isospin breaking. They should be taken into account simultaneously. • There is some kind competition between them for phase space distribution function deformation- (corresponding to supercharge)! The former dominates over the latter! • “Weak” interaction is “strong” in many-body environment. • Not important for bulk EOS property, but important for transport coefficients and affects the relevant flows!

  19. Relevant topics • Strongly coupling electrons correlations. Not Trivial screening effects! • QGP, How to solve the Puzzle? hep-ph/0307267: Edward V. Shuryak, Ismail Zahed, Rethinking the Properties of the Quark-Gluon Plasma at $T\sim T_c$? (quasiparticles into pair “mesons” or color electric clusters: attractive Color Coulomb Yukawa force); hep-th/0310031: Edward V. Shuryak, Ismail Zahed Spin-Spin and Spin-Orbit Interactions in Strongly Coupled Gauge Theories … G.E. Brown et al.’s Non-perturbative characteristic as well as many-body physics

  20. Compact star as Type-I superconductor, PRL 92, 151102 (2004). • Rule completely the magnetic field out of the star! • Locally electric charged stars? Vortex phenomena? • (Hottest topic in astroparticle physics and condensed matter physics)

  21. J. Ekman et al., “The hitherto overlooked electromagnetic spin-orbit term is shown to play a major role ” Phys. Rev. Lett. 92, 132502 (2004) (experimentally) (Very difficult to analyze with nonrelativistic nuclear theory.) Lasting and interesting • 1S0 Proton and Neutron Superfluidity in beta-stable Neutron Star MatterW. Zuo et al., nucl-th/0403026, “The three-body force has only a small effect on the neutron 1S0 pairing gap, but it suppresses strongly the proton1S0 superfluidity in $\beta$-stable neutron star matter”. The CSB effects.

  22. 3.Conclusions and Prospects 1.Superfluidity with screening effects Improving the description for the nuclear matter property Significantly at ρ=0? “polarization~fluctuation effects suppress the pairing gaps by a fact of 3~4 ” : A. Schwenk, B. Friman and G.E. Brown with other approaches PRL92,082501(2004), NPA 713, 191(2003),703, 745 (2003) etc. 2. Proca-like QHD Apply into finite nuclei structure or neutron star structure esp. the mirror-nuclei would give many interesting results (tensor or spin-orbit force). 3. liquid-gas phase transition and different gaps can be seen as the fingerprint of the spontaneously U(1) gauge symmetry within the framework?

  23. Highlights:many-body physics a, CSB should be taken into account properly (models or approaches) within the frame of continuous field theory b,fluctuations and correlations: weak interactions may lead to richful phase structure for hot and dense system~quantum Hall effects, Landau levels... c, For QGP, if really produced as argued, how about the “phase structure” in this special phase near the critical temperature regime. Viscosity coefficients? (multi-components system)?

  24. Comments welcome to Chenjs@iopp.ccnu.edu.cn

  25. Thank You!

More Related