Test of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>J</mml:mi></mml:mrow></mml:math>-matrix inverse scattering potentials on electromagnetic reactions of few-nucleon systems

Barnea, Nir; Leidemann, Winfried; Orlandini, Giuseppina

doi:10.1103/physrevc.74.034003

Cited by 19 publications

(10 citation statements)

References 53 publications

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“…In Fig. 3 we show the convergence of L d ( 3 P 1 ) with respect to R max taking, as for other previous LIT calculation of σ d γ [11,15], σ I = 10 MeV. One sees that R max =10 fm is not sufficient, while R max =15 fm leads already to a rather good approximation of the final result.…”

Section: Resultsmentioning

confidence: 54%

“…2 via the LIT method, we first want to make another consideration. The smallest cross section width which has been resolved in previous LIT calculation is about 10 MeV (total photoabsorption cross sections of 6 He [6] and 2 H [11,15]). Thus, in order to better understand what was achieved in such calculations, let us first consider the deuteron case with the unmodified AV18 potential.…”

Section: Resultsmentioning

confidence: 99%

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Calculation of a narrow resonance with the LIT method

Leidemann

2008

Few-Body Syst

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The possibility to resolve narrow structures in reaction cross sections in calculations with the Lorentz integral transform (LIT) method is studied. To this end we consider a fictitious twonucleon problem with a low-lying and narrow resonance in the 3 P 1 nucleon-nucleon partial wave and calculate the corresponding "deuteron photoabsorption cross section". In the LIT method the use of continuum wave functions is avoided and one works instead with a localized functionΨ. In this case study it is investigated how far into the asymptotic regionΨ has to be determined in order to obtain a precise resolution of the artificially introduced E1 resonance. Comparing with the results of a conventional calculation with explicit neutron-proton continuum wave functions it is shown that the LIT approach leads to an excellent reproduction of the cross section in the resonance region and of further finer cross section details at higher energies. To this end, however, forΨ one has to take into account two-nucleon distances up to at least 30 fm.

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Section: Resultsmentioning

confidence: 54%

Section: Resultsmentioning

confidence: 99%

Calculation of a narrow resonance with the LIT method

Leidemann

2008

Few-Body Syst

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“…As a benchmark study, we calculate the ground state wave function for 4 He from SA-NCSM compared to hyperspherical harmonics (HH), which is an exact method. The HH truncates its model space in terms of K max , the hyperspherical momentum, and is generally limited to smaller systems due to the use of Jacobi coordinates [16,21]. Figure 1 shows comparisons between the ground state properties of 4 He, specifically its energy and rms radius, as calculated by HH, conventional NCSM or equivalently, the complete-space SA-NCSM, and SA-NCSM with SU(3) selection as described in Ref.…”

Section: Benchmark Results For 4 Hementioning

confidence: 99%

Electromagnetic excitations and responses in nuclei from first principles

Baker

Launey

Dinur

et al. 2018

AIP Conference Proceedings

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We discuss the role of clustering on monopole, dipole, and quadrupole excitations in nuclei in the framework of the ab initio symmetry-adapted no-core shell model (SA-NCSM). The SA-NCSM starts from nucleon-nucleon potentials and, by exploring symmetries known to dominate the nuclear dynamics, can reach nuclei up through the calcium region by accommodating ultra-large model spaces critical to descriptions of clustering and collectivity. The results are based on calculations of electromagnetic sum rules and discretized responses using the Lanczos algorithm, that can be used to determine response functions, and for 4 He are benchmarked against exact solutions of the hyperspherical harmonics method. In particular, we focus on He, Be, and O isotopes, including giant resonances and monopole sum rules.

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“…Refs. [26,39]). The HH approach is equivalent to the NCSM, but makes use of HH functions instead of HO eigenstates.…”

Section: A Correlation Energiesmentioning

confidence: 99%

Long range tensor correlations in charge and parity projected fermionic molecular dynamics

2008

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Within the framework of Fermionic Molecular Dynamics a method is developed to better account for long range tensor correlations in nuclei when working with a single Slater determinant. Singleparticle states with mixed isospin and broken parity build up an intrinsic Slater determinant which is then charge and parity projected. By minimizing the energy of this many-body state with respect to the parameters of the single-particle states and projecting afterwards on angular momentum ground state energies are obtained that are systematically lower than corresponding Hartree-Fock results. The realistic Argonne V18 potential is used and short range correlations are treated with the Unitary Correlation Operator Method. Comparison with exact few-body calculations shows that in 4 He about one fifth of the correlation energy due to long-range correlations are accounted for. These correlations which extend over the whole nucleus are visualized with the isospin and spin-isospin density of the intrinsic state. The divergence of the spin-isospin density, the source for pion fields, turns out to be of dipole nature.

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Test ofJ-matrix inverse scattering potentials on electromagnetic reactions of few-nucleon systems

Cited by 19 publications

References 53 publications

Calculation of a narrow resonance with the LIT method

Calculation of a narrow resonance with the LIT method

Electromagnetic excitations and responses in nuclei from first principles

Long range tensor correlations in charge and parity projected fermionic molecular dynamics

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