Excited-State Giant Dipole Resonances in (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi> </mml:mi><mml:mi>γ</mml:mi></mml:math>): A New Probe of Single-Particle Strengths

Dowell, D. H.; Feldman, G.; Snover, K. A.; Sandorfi, A. M.; Collins, M.T.

doi:10.1103/physrevlett.50.1191

Cited by 50 publications

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“…P3' [ 1] ) as well as heavy ion reactions [2] make it important to quantitatively describe the behaviour of nuclear giant resonances when increasing the excitation energy. As a natural extension of the zero excitation energy case one may describe relevant strength functions in the statistical approximation through finite temperature RPA calculations.…”

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confidence: 99%

A sum rule description of giant resonances at finite temperature

1983

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A generalization of the sum rule approach to collective motion at finite temperature is presented. The m 1 and m-1 sum rules for the isovector dipole and the isoscalar monopole electric modes have been evaluated with the modified SkM force for the 2°spb nucleus. The variation of the resulting giant resonance energies with temperature is discussed.Recent experimental developments in the domain of light projectile induced reactions (e.g. P3' [ 1] ) as well as heavy ion reactions [2] make it important to quantitatively describe the behaviour of nuclear giant resonances when increasing the excitation energy. As a natural extension of the zero excitation energy case one may describe relevant strength functions in the statistical approximation through finite temperature RPA calculations. This has been performed for the dipole mode in the schematic force model and recently with more realistic forces but within a non fully selfconsistent approach [3]. The technical difficulties associated with such RPA calculations provide an incentive to develop a tractable yet sufficiently accurate method to grasp the bulk of the phenomenon under study.In the zero temperature case the sum rule approach has been shown to be well suited to that purpose (see e.g. ref.[4] ). Moreover it has appeared that a semiclassical determination of some sum rules, such as the inverse energy weighted sum rule, yielded very good 0.031-9163/83/$ 03.00 © Elsevier Science Publishers B.V. (North-Holland Physics Publishing Division) approximations to quantal (i.e. Hartree-Fock) results [5,6]. The finite temperature generalisation of such an approach implies an extension of some basic results to the non zero excitation energy case. It is the aim of this letter to discuss such a generalisation and to provide some illustrations of the methods in the particular cases of isovector dipole and isoscalar monopole electric modes.For a statistical mixture defined by its density matrixn whose dynamics is governed by a hamiltonian H with eigenvectors In) and eigenvalues En, the kth order moment of the strength function associated to a given operator Q may be defined as mk(a)= ~ I(nlOlP)12Pn(Ep -En) k . (2) n,p¢nFor all moments which can be expressed in the pure 279

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A sum rule description of giant resonances at finite temperature

1983

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“…In the experimental data from Ref. [26], the FWHM of GDR also shows an increasing trend with the increase of the final-state energy. This can be explained by the thermal shape fluctuations model (TSFM).…”

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“…Figure 1(b) shows the comparison of our calculated γ spectra with the experimental data of 27 Al(p, γ) 28 Si from Ref. [26]. Our calculation parameters are as follows: the incident energy (E p ) of the proton is 50 MeV; the impact parameter (b) is 0 fm.…”

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confidence: 99%

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Giant dipole resonance in proton capture reactions using an extended quantum molecular dynamics model

Wang

Zhang

et al. 2017

Phys. Rev. C

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Proton capture reaction is an important process concerning the astrophysical origin of the elements. In present work, we focus on giant dipole resonance (GDR) in proton capture reactions, such as40 Ca, and 67 Co(p, γ) 68 Ni in a framework of an extended quantum molecular dynamics model. The systematic properties of GDR parameters including the peak energy, the strength and full width at half maximum (FWHM) have been studied. The dependence of FWHM on temperature has also been discussed. Some comparisons with experimental data have been presented.

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“…Indeed, recent experimental analyses of gamma ray spectra observed in (heau~4on. .w 7) [36] and in (p, 7) reactions [37] give evidence for the existence of isovector dipole giant resonances built on highly excited compound nuclei. The extraction of resonance parameters from such data is a complicated task, in particular, for the heavy-ion reactions in view of the coupling of the vibration mode with the rotational motion of possible deformed excited states [38].…”

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A density variational approach to nuclear giant resonances at zero and finite temperature

1989

Annals of Physics

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Excited-State Giant Dipole Resonances in (p, γ): A New Probe of Single-Particle Strengths

Cited by 50 publications

References 14 publications

A sum rule description of giant resonances at finite temperature

A sum rule description of giant resonances at finite temperature

Giant dipole resonance in proton capture reactions using an extended quantum molecular dynamics model

A density variational approach to nuclear giant resonances at zero and finite temperature

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