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Hidden Local Symmetry and Correlations of Nucleons in Nuclear Matter


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Title: Hidden Local Symmetry and Correlations of Nucleons in Nuclear Matter

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.)

  • 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

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 goalHigh T/? Physics,
  • Medium effects?

Many-body Physics?
EOS and pairing correlationa 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!

2a, Screening effects on 1S0 correlation
J.-S Chen, P.-F Zhuang and J.-R Li,
Nucl-th/0309033, Phys. Lett.B 585, 85 (2004),
Crucial interaction potential medium 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
Superfluidity in nuclear mattera longstanding
  • 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
  • standard but non-relativistic,
  • J. Decharge and D. Gogny, Phys. Rev. C 21, 1568
  • Relativistic continuous field theory,
  • H. Kucharek and P. Ring, Z. Phys. A 339, 23
  • Attention
  • A,Quite unacceptable numerical results of
    superfluidity with frozen meson propagators.
  • B,Screening effects widely discussed within the
    frame of nonrelativistic frame!

(No Transcript)
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.
  • The unrealistic and very uncomfortable non-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!

Framework relativistic nuclear field theory
(QHD), a good 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.

  • 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
    theorems 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)

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

Effective potential, EOSmean field theory
EOS for charged nuclear matter in Heavy Ion
Coulomb Compression Modulus The fraction ratio
For charge neutralized
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Solid limit for photon parameter mass
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.

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
  • Not important for bulk EOS property, but
    important for transport coefficients and affects
    the relevant flows!

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

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

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

3.Conclusions and Prospects
  • 1.Superfluidity with screening effects
  • Improving the description for the nuclear matter
  • Significantly at ?0?
  • polarizationfluctuation effects suppress the
    pairing gaps by a fact of 34
  • A. Schwenk, B. Friman and G.E. Brown with other
  • 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
  • 3. liquid-gas phase transition and different gaps
    can be seen as the fingerprint of the
    spontaneously U(1) gauge symmetry within the

Highlightsmany-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 systemquantum 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
  • (multi-components system)?

  • Comments welcome to
  • Chenjs_at_iopp.ccnu.edu.cn

Thank You!
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