Benchmark Results for Few-Body Hypernuclei

Ruffino, Fabrizio Ferrari; Lonardoni, Diego; Barnea, Nir; Deflorian, Sergio; Leidemann, Winfried; Orlandini, Giuseppina; Pederiva, Francesco

doi:10.1007/s00601-017-1273-7

Cited by 8 publications

(11 citation statements)

References 15 publications

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“…By inspection of Table XII, we can conclude that B = 2.280 MeV, with an accuracy of about 3 keV, obtained with G max = 100, N max = 34, and j max = 14. By inspection of Table XIII The results obtained with our method for the three potential models considered in this work are compared with those present in the literature [18,19,21] in Table XIV, finding a very nice agreement, within the reached accuracy. [18], using G max = 20, jmax = 8 and γ = 4 fm −1 .…”

Section: The 3 λ H Hypernucleussupporting

confidence: 73%

“…The Λ hyperon mass has been chosen depending on the considered potential. We remind that we have used three different potential models: a central spin-independent Gaussian model [18], and two spin-dependent central potentials, labelled MN9 [19] and AU [21] potentials. Therefore, when the 3 Λ H hypernucleus has been studied using the Gaussian potential of Ref.…”

Section: The 3 λ H Hypernucleusmentioning

confidence: 99%

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Non-symmetrized Hyperspherical Harmonics Method for Non-equal Mass Three-Body Systems

Nannini

Marcucci

2018

Front. Phys.

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The non-symmetrized hyperspherical harmonics method for a three-body system, composed by two particles having equal masses, but different from the mass of the third particle, is reviewed and applied to the 3 H, 3 He nuclei and 3 Λ H hyper-nucleus, seen respectively as nnp, ppn and N N Λ three-body systems. The convergence of the method is first tested in order to estimate its accuracy. Then, the difference of binding energy between 3 H and 3 He due to the difference of the proton and the neutron masses is studied using several central spin-independent and spin-dependent potentials. Finally, the 3 Λ H hypernucleus binding energy is calculated using different N N and ΛN potential models. The results have been compared with those present in the literature, finding a very nice agreement.

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Section: The 3 λ H Hypernucleussupporting

confidence: 73%

Section: The 3 λ H Hypernucleusmentioning

confidence: 99%

Non-symmetrized Hyperspherical Harmonics Method for Non-equal Mass Three-Body Systems

Nannini

Marcucci

2018

Front. Phys.

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“…Usually the LECs of the NNN interaction are fixed to reproduce the binding energy of light ( 3 H, 3 He and 4 He) nuclei but also other choices are possible. In the hypernuclear sector the situation is more complicated due to the lack of enough experimental data and to the few existing ab-initio calculations in light hypernuclei [20,45,46,54,55]. In Ref.…”

Section: The Nnλ Interactionmentioning

confidence: 99%

Impact of chiral hyperonic three-body forces on neutron stars

Logoteta¹,

Vidaña²,

Bombaci³

2019

Eur. Phys. J. A

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We study the effect of the nucleon-nucleon-lambda (NNΛ) three-body force on neutron stars. In particular, we consider the NNΛ force recently derived by the Jülich-Bonn-Munich group within the framework of chiral effective field theory at next-to-next-to-leading order. This force, together with realistic nucleon-nucleon, nucleon-nucleon-nucleon and nucleon-hyperon interactions, is used to calculate the equation of state and the structure of neutron stars within the many-body non-relativistic Brueckner-Hartree-Fock approach. Our results show that the inclusion of the NNΛ force leads to an equation of state stiff enough such that the resulting neutron star maximum mass is compatible with the largest currently measured (∼ 2 M ⊙ ) neutron star masses. Using a perturbative many-body approach we calculate also the separation energy of the Λ in some hypernuclei finding that the agreement with the experimental data improves for the heavier ones when the effect of the NNΛ force is taken into account.

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“…In the benchmark calculation of [11] bound baryon systems from three up to five particles are considered, where one of the baryons is the Λ hyperon which has strangeness S = −1. As already mentioned in the introduction the experimental information about the YN interaction is still rather scarce.…”

Section: Strange Baryon Systemsmentioning

confidence: 99%

“…On the other hand, our present aim is not yet a realistic calculation of the binding energy of hypernuclei, but rather a check of the precision of the ab initio method used by us. Therefore in [11] calculations with non-fully realistic interactions models are made. Before coming to some of these results in section 3.2, first, a short description of the ab initio method of our choice is given in the following section.…”

Section: Strange Baryon Systemsmentioning

confidence: 99%

Ab initio calculations for non-strange and strange few-baryon systems

Leidemann

2018

J. Phys.: Conf. Ser.

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Concerning the non-strange particle systems the low-energy excitation spectra of the three-and four-body helium isotopes are studied. Objects of the study are the astrophysical S-factor S 12 of the radiative proton deuteron capture d(p, γ) 3 He and the width of the 4 He isoscalar monopole resonance. Both observables are calculated using the Lorentz integral transform (LIT) method. The LIT equations are solved via expansions of the LIT states on a specifically modified hyperspherical harmonics (HH) basis. It is illustrated that at low energies such a modification allows to work with much higher LIT resolutions than with an unmodified HH basis. It is discussed that this opens up the possibility to determine astrophysical S-factors as well as the width of low-lying resonances with the LIT method. In the sector of strange baryon systems binding energies of the hypernucleus 3 Λ H are calculated using a nonsymmetrized HH basis. The results are compared with those calculated by various other groups with different methods. For all the considered non-strange and strange baryon systems it is shown that high-precision results are obtained.

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Benchmark Results for Few-Body Hypernuclei

Cited by 8 publications

References 15 publications

Non-symmetrized Hyperspherical Harmonics Method for Non-equal Mass Three-Body Systems

Non-symmetrized Hyperspherical Harmonics Method for Non-equal Mass Three-Body Systems

Impact of chiral hyperonic three-body forces on neutron stars

Ab initio calculations for non-strange and strange few-baryon systems

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