133,953 research outputs found

    Residue symbols and Jantzen-Seitz partitions

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    Jantzen-Seitz partitions are those pp-regular partitions of~nn which label pp-modular irreducible representations of the symmetric group SnS_n which remain irreducible when restricted to Sn−1S_{n-1}; they have recently also been found to be important for certain exactly solvable models in statistical mechanics. In this article we study their combinatorial properties via a detailed analysis of their residue symbols; in particular the pp-cores of Jantzen-Seitz partitions are determined

    The hadron-quark transition with a lattice of nonlocal confining solitons

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    We use a lattice of nonlocal confining solitons to describe nuclear matter in the Wigner-Seitz approximation. The average density is varied by changing the size of the Wigner-Seitz cell. At sufficiently large density quark energy bands develop. The intersection of the filled valence band with the next empty band at a few times standard nuclear density signals a transition from a color insulator to a color conductor and is identified with the critical density for quark deconfinement.Comment: 12 pages Latex with one PS figur

    Equation of state in the inner crust of neutron stars: discusion of the unbound neutron states

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    In this paper, we calculate the stable Wigner-Seitz (W-S) cells in the inner crust of neutron stars and we discuss the nuclear shell effects. A distinction is done between the shell effects due to the bound states and those induced by the unbound states, which are shown to be spurious. We then estimate the effects of the spurious shells on the total energy and decompose it into a smooth and a residual part. We propose a correction to the Hartree-Fock binding energy in Wigner-Seitz cell (HF-WS).Comment: conference EXOCT07, Catania, 11-15 June, 200

    Exact energy of the spin-polarized two-dimensional electron gas at high density

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    We derive the exact expansion, to O(rs)O(r_s), of the energy of the high-density spin-polarized two-dimensional uniform electron gas, where rsr_s is the Seitz radius.Comment: 7 pages, 1 figure and 1 table, submitted to Phys. Rev.

    The role of the boundary conditions in the Wigner-Seitz approximation applied to the neutron star inner crust

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    The influence of the boundary conditions used in the Wigner-Seitz approximation applied to the neutron star inner crust is examined. The generalized energy functional method which includes neutron and proton pairing correlations is used. Predictions of two versions of the boundary conditions are compared with each other. The uncertainties in the equilibrium configuration (Z,R_c) of the crust, where Z is the proton charge and R_c the radius of the Wigner-Seitz cell, correspond to variation of Z by 2 -- 6 units and of R_c, by 1 -- 2 fm. The effect of the boundary conditions is enhanced at increasing density. These uncertainties are smaller than the variation of Z and R_c coming from the inclusion of pairing. The value of the pairing gap itself, especially at high density, can depend on the boundary condition used.Comment: LaTeX, 11 pages, 3 figures, to be published in Phys. Lett.

    Collective excitations in the inner crust of neutron stars : supergiant resonances

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    We investigate the nuclear collective excitations of Wigner-Seitz cells containing nuclear clusters immersed in a gas of neutrons. This baryonic non-uniform system is specific to the structure of inner crust matter of neutron stars. The collective excitations are studied in the framework of a spherical Hartree-Fock-Bogoliubov + Quasiparticle Random Phase Approximation, formulated in coordinate representation. The calculations are done for two representative Wigner-Seitz cells with baryonic density equal to 0.02 fm−3^{-3} and 0.08 fm−3^{-3}. It is shown that the excitations with low multipolarities are concentrated almost entirely in one strongly collective mode which exhausts a very large fraction of the energy-weighted sum rule. Since these collective modes are located at very low energies compared to the giant resonances in standard nuclei, they may affect significantly the specific heat of baryonic inner crust matter of neutron stars.Comment: 6 pages, 4 figure
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