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Nuclear Theory·nucl-th

Friday·June 2, 2017

4 papers—2 primary·2 cross-listed

All4Primary2Cross-lists2
  1. 01

    The pseudo-Semimicroscopic Algebraic Cluster Model model: Heavy nuclei

    Huitzilin Yépez-Martínez · Peter O. Hess

    The Semimicroscopic Algebraic Cluster Model (SACM) is extended to heavy nuclei, making use of the pseudo-SU(3) model. As a first step, the concept of forbiddenness will be resumed. One consequence of the forbiddenness is that the ground state of a nucleus can in general be described by two internally excited clusters. After that, the pseudo- SACM is formulated. The basis of pseudo-SACM is constructed, defin- ing each cluster within the united nucleus with the same oscillator fre- quency and deformation of the harmonic oscillator as a mean field and dividing the nucleons in those within the unique and normal orbitals, consistently for both clusters and the united nucleus. As test cases, this model is applied to 236U 210Pb+26Ne and 224Ra $\rightarrow} 210Pb+14C. Some spectroscopic factors will be calculated as predictions.

    nucl-th0 citations
  2. 02

    Toward a systematic strategy for defining power counting in the construction of the energy density functional theory

    C.-J. Yang🇫🇷 · M. Grasso🇫🇷 · D. Lacroix🇫🇷

    We propose a new scheme for constructing an effective-field-theory-based interaction to be used in the energy-density-functional (EDF) theory with specific assumptions for defining a power counting. This procedure is developed through the evaluation of the equation of state (EOS) of symmetric and pure neutron matter going beyond the mean-field scheme and using a functional defined up to next-to-leading order (NLO), that we will call NLO EDF. A Skyrme-like interaction is constructed based on the condition of renormalizibility and on a power counting on , where is the Fermi momentum and is the breakdown scale of our expansion. To absorb the divergences present in beyond mean-field diagrams, counter interactions are introduced for the NLO EDF and determined through renormalization conditions. In particular, three scenarios are explored and all of them lead to satisfactory results. These counter interactions contain also parameters which do not contribute to the EOS of matter and may eventually be determined through future adjustments to properties of some selected finite nuclei. Our work serves as a simple starting point for constructing a well-defined power counting within the EDF framework.

    nucl-thPRC(2017)·15 citations
  3. 03

    Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices, and particle-partition entanglement

    Lukas Rammelmüller🇺🇸 · William J. Porter🇺🇸 · Jens Braun🇩🇪 · Joaquín Drut🇺🇸

    We study the evolution from few- to many-body physics of fermionic systems in one spatial dimension with attractive pairwise interactions. We determine the detailed form of the momentum distribution, the structure of the one-body density matrix, and the pairing properties encoded in the two-body density matrix. From the low- and high-momentum scaling behavior of the single-particle momentum distribution we estimate the speed of sound and Tan's contact, respectively. Both quantities are found to be in agreement with previous calculations. Based on our calculations of the one-body density matrices, we also present results for the particle-partition entanglement entropy, for which we find a logarithmic dependence on the total particle number.

    ↳ cond-mat.quant-gashep-latnucl-thPRA(2017)·25 citations
  4. 04

    High-energy cosmic ray nuclei from tidal disruption events: Origin, survival, and implications

    B. Theodore Zhang🇨🇳 · Kohta Murase🇺🇸 · Foteini Oikonomou🇺🇸 · Zhuo Li🇨🇳

    Tidal disruption events (TDEs) by supermassive or intermediate mass black holes have been suggested as candidate sources of ultrahigh-energy cosmic rays (UHECRs) and high-energy neutrinos. Motivated by the recent measurements from the Pierre Auger Observatory, which indicates a metal-rich cosmic-ray composition at ultrahigh energies, we investigate the fate of UHECR nuclei loaded in TDE jets. First, we consider the production and survival of UHECR nuclei at internal shocks, external forward and reverse shocks, and nonrelativistic winds. Based on the observations of Swift J1644+57, we show that the UHECRs can survive for external reverse and forward shocks, and disk winds. On the other hand, UHECR nuclei are significantly disintegrated in internal shocks, although they could survive for low-luminosity TDE jets. Assuming that UHECR nuclei can survive, we consider implications of different composition models of TDEs. We find that the tidal disruption of main sequence stars or carbon-oxygen white dwarfs does not successfully reproduce UHECR observations, namely the observed composition or spectrum. The observed mean depth of the shower maximum and its deviation could be explained by oxygen-neon-magnesium white dwarfs, but they may be too rare to be the sources of UHECRs.

    ↳ astro-ph.HEastro-ph.SRhep-phnucl-thPRD(2017)·80 citations

Affiliations

first authorsco-authorsvia INSPIRE