Application of an extended random-phase approximation to giant resonances in light-, medium-, and heavy-mass nuclei

Tselyaev, V.; Lyutorovich, N.; Speth, J.; Krewald, S.; Reinhard, P.‐G.

doi:10.1103/physrevc.94.034306

Cited by 46 publications

(55 citation statements)

References 48 publications

(149 reference statements)

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“…Figure 6 shows partial photoneutron cross sections obtained in the new measurement in comparison with the TALYS [14] calculation of the giant-dipole resonance (GDR) and quasi-deuteron component [15,16]. The GDR cross section was obtained within the Hartree-Fock-Bogolyubov plus quasiparticle random phase approximation approach on the basis of the D1M Gogny interaction both for the E1 [17] and M1 [18] components. See Ref.…”

Section: Bi(xn) Datamentioning

confidence: 99%

Photoneutron Reaction Data for Nuclear Physics and Astrophysics

Utsunomiya¹,

Renstrøm²,

Tveten³

et al. 2018

EPJ Web Conf.

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Abstract. We discuss the role of photoneutron reaction data in nuclear physics and astrophysics in conjunction with the Coordinated Research Project of the International Atomic Energy Agency with the code F41032 (IAEA-CRP F41032). PHOENIX Collaboration for the IAEA-CRP F41032The In this collaboration, we are measuring (,xn) cross sections with x=1-4 for the first compilation (photonuclear data) and (,1n) cross sections near oneneutron threshold for the second compilation (photon strength functions). A list of nuclei to be measured in the PHOENIX Collaboration is given in Table 1. We provide (,xn) cross section data to resolve the long-standing discrepancy between the Livermore and Saclay data of partial photoneutron cross sections. In many cases, Saclay provided larger cross sections for (,1n) reactions than Livermore and vice versa for (,2n) reactions [2]. The ratio of the Saclay data to the Livermore data of integrated total cross sections, Rint  S int / L int , varies from 0.65 to 1.35 over 19 nuclei from 51 V to 238 U. As shown in Fig. 1, the ratio for

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Section: Bi(xn) Datamentioning

confidence: 99%

Photoneutron Reaction Data for Nuclear Physics and Astrophysics

Utsunomiya¹,

Renstrøm²,

Tveten³

et al. 2018

EPJ Web Conf.

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“…(26), for an accurate solution beyond the static approximation to the interaction kernel the knowledge about the two-fermion propagators or response functions in the particle-hole and particle-particle channels are needed, as follows from Eqs. (26,28,33,47). As we discuss in the next section following Refs.…”

Section: Equation Of Motion For One-fermion Propagatormentioning

confidence: 99%

Toward an accurate strongly coupled many-body theory within the equation-of-motion framework

Литвинова

Schuck

2019

Phys. Rev. C

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Non-perturbative aspects of the quantum many-body problem are revised, discussed and advanced in the equation of motion framework. We compare the approach to the two-fermion response function truncated on the two-body level by the cluster expansion of the dynamical interaction kernel to the approach known as time blocking approximation. Such a comparison leads to an extended many-body theory with non-perturbative treatment of high-order configurations. The present implementation of the advanced theory introduces a new class of solutions for the response functions, which include explicitly beyond-mean-field correlations between up to six fermions. The novel approach, which includes configurations with two quasiparticles coupled to two phonons (2q⊗2phonon), is discussed in detail for the particle-hole nuclear response and applied to medium-mass nuclei. The proposed developments are implemented numerically on the basis of the relativistic effective mesonnucleon Lagrangian and compared to the models confined by two-fermion and four-fermion configurations, which are considered as the state-of-the-art for the response theory in nuclear structure calculations. The results obtained for the dipole response of 42,48 Ca and 68 Ni nuclei in comparison to available experimental data show that the higher configurations are necessary for a successful description of both gross and fine details of the spectra in both high-energy and low-energy sectors.

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“…Details are described in [12,26]. The basic calculated quantity is the response R(ω) which is a solution of the Bethe-Salpeter equation.…”

Section: Details Of Calculations a Basic Equationsmentioning

confidence: 99%

“…(8) and the induced interactionW (ω) in Eqs. (12,13). Knowledge of the response function allows us to calculate the distribution of the nuclear transition strength S(E) caused by an external field which is represented by a single-particle operator Q.…”

Section: Details Of Calculations a Basic Equationsmentioning

confidence: 99%

“…This does not break self-consistency because the terms are not active in the ground state of the double-magic nuclei. The new treatment of the single-particle continuum [12] is used both in the RPA and TBA calculations. There, the RPA and the TBA equations are solved in a discrete basis that simplifies calculations of matrix elements of the residual interaction.…”

Section: B Details Of the Numerical Treatmentmentioning

confidence: 99%

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Optimizing phonon space in the phonon-coupling model

et al. 2017

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We present a new scheme to select the most relevant phonons in the phonon-coupling model, named here time-blocking approximation (TBA). The new criterion, based on the phonon-nucleon coupling strengths rather than on B(EL) values, is more selective and thus produces much smaller phonon spaces in TBA. This is beneficial in two respects: first, it curbs down the computational cost, and second, it reduces the danger of double counting in the expansion basis of TBA. We use here TBA in a form where the coupling strength is regularized to keep the given Hartree-Fock ground state stable. The scheme is implemented in an RPA and TBA code based on the Skyrme energy functional. We first explore carefully the cutoff dependence with the new criterion and can work out a natural (optimal) cutoff parameter. Then we use the freshly developed and tested scheme to a survey of giant resonances and low-lying collective states in six doubly magic nuclei looking also on the dependence of the results when varying the Skyrme parametrization.

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Application of an extended random-phase approximation to giant resonances in light-, medium-, and heavy-mass nuclei

Cited by 46 publications

References 48 publications

Photoneutron Reaction Data for Nuclear Physics and Astrophysics

Photoneutron Reaction Data for Nuclear Physics and Astrophysics

Toward an accurate strongly coupled many-body theory within the equation-of-motion framework

Optimizing phonon space in the phonon-coupling model

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