Fluctuation properties of the strength function associated with the giant quadrupole resonance in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Pb</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>208</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>

Aiba, Hirokazu; Nishizaki, Shin-ya; Suzuki, T.

doi:10.1103/physrevc.83.024314

Cited by 7 publications

(6 citation statements)

References 21 publications

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“…Recent work by Aiba et al [49], published after submission of our manuscript, circumstantiates our conclusions based on an extraction of the local scaling dimension of fine structure fluctuations in shell-model calculations of the 40 Ca GQR strength function.…”

Section: Acknowledgementssupporting

confidence: 74%

Fine structure of the isoscalar giant quadrupole resonance in 40Ca due to Landau damping?

et al. 2011

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The fragmentation of the Isoscalar Giant Quadrupole Resonance (ISGQR) in 40 Ca has been investigated in high energy-resolution experiments using proton inelastic scattering at E p = 200 MeV. Fine structure is observed in the region of the ISGQR and its characteristic energy scales are extracted from the experimental data by means of a wavelet analysis. The experimental scales are well described by Random Phase Approximation (RPA) and second-RPA calculations with an effective interaction derived from a realistic nucleon-nucleon interaction by the Unitary Correlation Operator Method (UCOM). In these results characteristic scales are already present at the mean-field level pointing to their origination in Landau damping, in contrast to the findings in heavier nuclei and also to SRPA calculations for 40 Ca based on phenomenological effective interactions, where fine structure is explained by the coupling to two-particle two-hole (2p-2h) states.

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Section: Acknowledgementssupporting

confidence: 74%

Fine structure of the isoscalar giant quadrupole resonance in 40Ca due to Landau damping?

et al. 2011

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“…It could be shown that in this case the spreading width dominates over the escape width but the deduced scales depended strongly on the assumptions about the (unknown) number of doorway states. Later, new methods were proposed for the extraction of such scales based an a local scaling dimension approach [17,18,19], an entropy index method [20,21], and the use of wavelet techniques [22,23]. A comprehensive discussion of the advantages and limitations of the various methods concluded that wavelet analysis is most promising [24].…”

Section: Introductionmentioning

confidence: 99%

Gross, intermediate and fine structure of nuclear giant resonances: Evidence for doorway states

et al. 2019

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We review the phenomenon of fine structure of nuclear giant resonances and its relation to different resonance decay mechanisms. Wavelet analysis of the experimental spectra provides quantitative information on the fine structure in terms of characteristic scales. A comparable analysis of resonance strength distributions from microscopic approaches incorporating one or several of the resonance decay mechanisms allows conclusions on the source of the fine structure. For the isoscalar giant quadrupole resonance (ISGQR), spreading through the first step of the doorway mechanism, i.e. coupling between one particle-one hole (1p1h) and two particle-two hole (2p2h) states is identified as the relevant mechanism. In heavy nuclei it is dominated by coupling to low-lying surface vibrations, while in lighter nuclei stochastic coupling becomes increasingly important. The fine structure observed for the isovector giant dipole resonance (IVGDR) arises mainly from the fragmentation of the 1p1h strength (Landau damping), although some indications for the relevance of the spreading width are also found. PACS. 25.40.Ep Inelastic proton scattering -21.10.Re Collective levels -24.30.Cz Giant resonances -21.60.Jz Nuclear Density Functional Theory and extensions

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“…Various measures have been proposed in the past, viz. averaging of spectra at various scales [5], Fourier analysis [20], correlation analysis [21], the entropy index method [22,23], local scaling dimension [24,25], and wavelet analysis [26]. We have chosen wavelet analysis as it offers a quantification of the energy scales of fine structures while resolving the strength of fine structures in both excitation energy and energy scale.…”

Section: Introductionmentioning

confidence: 99%

Origin of fine structure of the giant dipole resonance insd-shell nuclei

et al. 2018

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A set of high resolution zero-degree inelastic proton scattering data on 24 Mg, 28 Si, 32 S, and 40 Ca provides new insight into the long-standing puzzle of the origin of fragmentation of the Giant Dipole Resonance (GDR) in sd-shell nuclei. Understanding is achieved by comparison with Random Phase Approximation (RPA) calculations for deformed nuclei using for the first time a realistic nucleonnucleon interaction derived from the Argonne V18 potential with the unitary correlation operator method and supplemented by a phenomenological three-nucleon contact interaction. A wavelet analysis allows to extract significant scales both in the data and calculations characterizing the fine structure of the GDR. The fair agreement for scales in the range of a few hundred keV supports the surmise that the fine structure arises from ground-state deformation driven by α clustering.

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Fluctuation properties of the strength function associated with the giant quadrupole resonance inPb208

Cited by 7 publications

References 21 publications

Fine structure of the isoscalar giant quadrupole resonance in 40Ca due to Landau damping?

Fine structure of the isoscalar giant quadrupole resonance in 40Ca due to Landau damping?

Gross, intermediate and fine structure of nuclear giant resonances: Evidence for doorway states

Origin of fine structure of the giant dipole resonance insd-shell nuclei

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