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Nuclear Theory·nucl-th

Monday·May 8, 2017

4 papers—2 primary·2 cross-listed

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  1. 01

    Coherent quadrupole-octupole states from a SUSY-QM Hamiltonian hierarchy and shape invariance

    N. Minkov · S. Drenska · P. Yotov

    We show that the potential in the radial equation in the model of coherent quadrupole-octupole motion (CQOM) in nuclei generates a sequence of superpotentials and subsequent series of effective potentials which satisfy the shape-invariance condition and correspond to a SUSY-QM hierarchy of Hamiltonians. On this basis we suggest that the original CQOM level scheme possesses a generic supersymmetric structure of the spectrum inherent for the coherent quadrupole-octupole mode. We outline the mechanism in which the real quadrupole-octupole spectra in even-even and odd-even nuclei deviate from the genuine symmetry. By using it we illustrate the possibilities to identify the signs of supersymmetry in the alternating-parity spectra of even-even nuclei and the quasi-parity-doublet levels of odd-mass nuclei described within the CQOM model approach.

    nucl-thquant-phNuclear Theory, vol. 33, (Heron Press, So…·0 citations
  2. 02

    Warm unstable asymmetric nuclear matter: critical properties and the density dependence of the symmetry energy

    N. Alam🇮🇳 · H. Pais🇵🇹 · C. Providência🇵🇹 · B. K. Agrawal🇮🇳

    The spinodal instabilities in hot asymmetric nuclear matter and some important critical parameters derived thereof are studied using six different families of relativistic mean-field (RMF) models. The slopes of the symmetry energy coefficient vary over a wide range within each family. The critical densities and proton fractions are more sensitive to the symmetry energy slope parameter at temperatures much below its critical value (14-16 MeV). The spread in the critical proton fraction at a given symmetry energy slope parameter is noticeably larger near , indicating that the warm equation of state of asymmetric nuclear matter at sub-saturation densities is not sufficiently constrained. The distillation effects are sensitive to the density dependence of the symmetry energy at low temperatures which tend to wash out with increasing temperature.

    nucl-thastro-ph.HEastro-ph.SRPRC(2017)·19 citations

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first authorsco-authorsvia INSPIRE