1,307 research outputs found

    Proton Decay from Excited States in Spherical Nuclei

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    Based on a single particle model which describes the time evolution of the wave function during tunneling across a one dimensional potential barrier we study the proton decay of 208^{208}Pb from excited states with non-vanishing angular momentum ℓ\ell. Several quantities of interest in this process like the decay rate λ\lambda, the period of oscillation ToscT_{osc}, the transient time ttrt_{tr}, the tunneling time ttunt_{tun} and the average value of the proton packet position rav r_{av} are computed and compared with the WKB results.Comment: 12 pages, 4 figure

    Shake-Modified Resonant Autoionization In Magnesium

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    Anomalous features in the resonantly excited 2p autoionization spectrum of Mg are attributed to overlapping shake transitions of the excited bound (spectator) electron. Universal features of the shake spectrum are displayed and related to the post-collision interaction

    Quantum Chaos and Regularity in Ultracold Fermi Gases

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    Quantum fluctuation of the energy is studied for an ultracold gas of interacting fermions trapped in a three-dimensional potential. Periodic-orbit theory is explored, and energy fluctuations are studied versus particle number for generic regular and chaotic systems, as well for a system defined by a harmonic confinement potential. Temperature effects on the energy fluctuations are investigated.Comment: 4 pages, 5 figure

    The ab initio no-core shell model

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    This contribution reviews a number of applications of the ab initio no-core shell model (NCSM) within nuclear physics and beyond. We will highlight a nuclear-structure study of the A = 12 isobar using a chiral NN + 3NF interaction. In the spirit of this workshop we will also mention the new development of the NCSM formalism to describe open channels and to approach the problem of nuclear reactions. Finally, we will illustrate the universality of the many-body problem by presenting the recent adaptation of the NCSM effective-interaction approach to study the many-boson problem in an external trapping potential with short-range interactions.Comment: 4 pages. Article based on the presentation by C. Forssen at the Fifth Workshop on Critical Stability, Erice, Sicily. Published in Few-Body System

    Tests and applications of self-consistent cranking in the interacting boson model

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    The self-consistent cranking method is tested by comparing the cranking calculations in the interacting boson model with the exact results obtained from the SU(3) and O(6) dynamical symmetries and from numerical diagonalization. The method is used to study the spin dependence of shape variables in the sdsd and sdgsdg boson models. When realistic sets of parameters are used, both models lead to similar results: axial shape is retained with increasing cranking frequency while fluctuations in the shape variable γ\gamma are slightly reduced.Comment: 9 pages, 3 ps figures, Revte

    FISSION DYNAMICS WITH MICROSCOPIC LEVEL DENSITIES

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    We present a consistent framework for treating the energy and angularmomentum dependence of the shape evolution in the nuclear fission. It combines microscopically calculated level densities with the Metropolis-walk method, has no new parameters, and can elucidate the energy-dependent influence of pairing and shell effects on the dynamics of warm nuclei

    Energy averages and fluctuations in the decay out of superdeformed bands

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    We derive analytic formulae for the energy average (including the energy average of the fluctuation contribution) and variance of the intraband decay intensity of a superdeformed band. Our results may be expressed in terms of three dimensionless variables: Γ↓/ΓS\Gamma^{\downarrow}/\Gamma_S, ΓN/d\Gamma_N/d, and ΓN/(ΓS+Γ↓)\Gamma_N/(\Gamma_S+\Gamma^{\downarrow}). Here Γ↓\Gamma^{\downarrow} is the spreading width for the mixing of a superdeformed (SD) state ∣0>|0> with the normally deformed (ND) states ∣Q>|Q> whose spin is the same as ∣0>|0>'s. The ∣Q>|Q> have mean level spacing dd and mean electromagnetic decay width ΓN\Gamma_N whilst ∣0>|0> has electromagnetic decay width ΓS\Gamma_S. The average decay intensity may be expressed solely in terms of the variables Γ↓/ΓS\Gamma^{\downarrow}/\Gamma_S and ΓN/d\Gamma_N/d or, analogously to statistical nuclear reaction theory, in terms of the transmission coefficients T0(E)T_0(E) and TNT_N describing transmission from the ∣Q>|Q> to the SD band via ∣0∠|0\angle and to lower ND states. The variance of the decay intensity, in analogy with Ericson's theory of cross section fluctuations depends on an additional variable, the correlation length \Gamma_N/(\Gamma_S+\Gamma^{\downarrow})=\frac{d}{2\pi}T_N/(\Gamma_S+\Gamma^{\d ownarrow}). This suggests that analysis of an experimentally obtained variance could yield the mean level spacing dd as does analysis of the cross section autocorrelation function in compound nuclear reactions. We compare our results with those of Gu and Weidenm\"uller.Comment: revtex4, 14 pages, 4 figures, to appear in Physical Review
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