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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


1
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.)

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 goalHigh T/? Physics,
  • Medium effects?

Many-body Physics?
4
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!

5
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
hadrodynamics(QHD).
6
Superfluidity in nuclear mattera 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
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8
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.
9
Motivation
  • 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!

10
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.

11
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
    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)

12
How?Constructed a Proca-like model
  • Lagrangian (not Maxwell EM formalism?) with a
    parametric photon mass

13
Effective potential, EOSmean field theory
approximation
14
EOS for charged nuclear matter in Heavy Ion
Collision
15
Coulomb Compression Modulus The fraction ratio
16
For charge neutralized
17
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18
Solid limit for photon parameter mass
19
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.

20
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!

21
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

22
  • 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)

23
  • 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 Matter W. 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 proton 1S0 superfluidity in
    \beta-stable neutron star matter. The CSB
    effects.

24
3.Conclusions and Prospects
  • 1.Superfluidity with screening effects
  • Improving the description for the nuclear matter
    property
  • Significantly at ?0?
  • polarizationfluctuation effects suppress the
    pairing gaps by a fact of 34
  • 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?

25
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
    coefficients?
  • (multi-components system)?

26
  • Comments welcome to
  • Chenjs_at_iopp.ccnu.edu.cn

27
Thank You!
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