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Nuclear Theory·nucl-th

Wednesday·May 20, 2015

8 papers—4 primary·4 cross-listed

All8Primary4Cross-lists4
  1. 05

    Clebcsh-Gordan coefficients in the symmric group

    J.D. Vergados (KAIST University and IBS, Daejeon, Republic of Korea and University of S. Carolina, Columbia, SC, USA)🇰🇷

    The coefficients of fractional parentage (CFP) or Clebcsh-Gordan coefficients of the outer product of representations of the symmetric group are evaluated using an build up algorithm defined in terms of the chain involving the chain and chains. Some applications in mathematical physics are considered by combining them with the Clebcsh-Gordan (C-G) coefficients of the inner product of representations of the symmetric group

    ↳ math-phhep-thmath.MPnucl-th1 citation
  2. 06

    From holography towards real-world nuclear matter

    Si-wen Li🇨🇳 · Andreas Schmitt🇦🇹 · Qun Wang🇨🇳

    Quantum chromodynamics is notoriously difficult to solve at nonzero baryon density, and most models or effective theories of dense quark or nuclear matter are restricted to a particular density regime and/or a particular form of matter. Here we study dense (and mostly cold) matter within the holographic Sakai-Sugimoto model, aiming at a strong-coupling framework in the wide density range between nuclear saturation density and ultra-high quark matter densities. The model contains only three parameters, and we ask whether it fulfills two basic requirements of real-world cold and dense matter, a first-order onset of nuclear matter and a chiral phase transition at high density to quark matter. Such a model would be extremely useful for astrophysical applications because it would provide a single equation of state for all densities relevant in a compact star. Our calculations are based on two approximations for baryonic matter, firstly an instanton gas and secondly a homogeneous ansatz for the non-abelian gauge fields on the flavor branes of the model. While the instanton gas shows chiral restoration at high densities but an unrealistic second-order baryon onset, the homogeneous ansatz behaves exactly the other way around. Our study thus provides all ingredients that are necessary for a more realistic model and allows for systematic improvements of the applied approximations.

    ↳ hep-phhep-thnucl-thPRD(2015)·71 citations
  3. 07

    Latest developments in anisotropic hydrodynamics

    Leonardo Tinti🇵🇱

    We discuss the leading order of anisotropic hydrodynamics expansion. It has already been shown that in the (0+1) and (1+1)-dimensional cases it is consistent with the second order viscous hydrodynamics, and it provides a striking agreement with the exact solutions of the Boltzmann equation. Quite recently, a new set of equations has been proposed for the leading order of anisotropic hydrodynamics, which is consistent with the second order viscous hydrodynamics in the most general (3+1)-dimensional case, and does not require a next-to-leading treatment for describing pressure anisotropies in the transverse plane.

    ↳ hep-phnucl-thActa Phys.Polon.Supp.(2015)·0 citations
  4. 08

    Viscosities of Gluon Dominated QGP Model within Relativistic Non-Abelian Hydrodynamics

    T.P. Djun🇮🇩 · B. Soegijono🇮🇩 · T. Mart🇮🇩 · L.T. Handoko🇮🇩

    Based on the first principle calculation, a Lagrangian for the system describing quarks, gluons, and their interactions, is constructed. Ascribed to the existence of dissipative behavior as a consequence of strong interaction within quark-gluon plasma (QGP) matter, auxiliary terms describing viscosities are constituted into the Lagrangian. Through a "kind" of phase transition, gluon field is redefined as a scalar field with four-vector velocity inherently attached. Then, the Lagrangian is elaborated further to produce the energy-momentum tensor of dissipative fluid-like system and the equation of motion (EOM). By imposing the law of energy and momentum conservation, the values of shear and bulk viscosities are analytically calculated. Our result shows that, at the energy level close to hadronization, the bulk viscosity is bigger than shear viscosity. By making use of the conjectured values and , the ratio of bulk to shear viscosity is found to be .

    ↳ hep-phhep-exnucl-thInt.J.Mod.Phys.A(2015)·1 citation

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first authorsco-authorsvia INSPIRE