Calculation of  11 Li in the framework of a three-body model with simple central potentials

Zhukov, M.V.; Danilin, B. V.; Fedorov, D. V.; Vaagen, J. S.; Gareev, F.A.; Bang, J.

doi:10.1016/0370-2693(91)90006-c

Cited by 58 publications

(35 citation statements)

References 8 publications

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“…(1) to (4) are then valid in this region after substitution on them of eq. (8). Processes involving excitations and one nucleon knockout from the core may take place at higher energies, and will not be discussed here.…”

Section: Kinematics and General Considerationsmentioning

confidence: 99%

Electron scattering on two-neutron halo nuclei: The case of 6He

Garrido¹,

Guerra²

1999

Nuclear Physics A

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The formalism to describe electron scattering reactions on two-neutron halo nuclei is developed. The halo nucleus is described as a three-body system (core+n+n), and the wave function is obtained by solving the Faddeev equations in coordinate space. We discuss elastic and quasielastic scattering using the impulse approximation to describe the reaction mechanism. We apply the method to investigate the case of electron scattering on 6 He. Spectral functions, response functions, and differential cross sections are calculated for both neutron knockout and α knockout by the electron.PACS numbers: 25.30. Fj, 25.70.Bc, 21.45.+v

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Section: Kinematics and General Considerationsmentioning

confidence: 99%

Electron scattering on two-neutron halo nuclei: The case of 6He

Garrido¹,

Guerra²

1999

Nuclear Physics A

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“…In nuclear physics, they yield outstanding results in spectroscopy [16]. In atomic physics, they well describe the binding energy and inclusive momentum distributions [17,18]. In molecular physics, they have been used to investigate the intramolecular and intermolecular interactions and atomic pair correlation functions [18,19].…”

Section: Introductionmentioning

confidence: 99%

Approximate Solutions of Schrödinger Equation under Manning-Rosen Potential in Arbitrary Dimension via SUSYQM

Hassanabadi

Zarrinkamar

et al. 2012

Acta Phys. Pol. A

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The Schrödinger equation under the ManningRosen potential is solved in arbitrary dimension via the quantum mechanical idea of supersymmetry. The Pekeris approximation is used to overcome the inconsistency of the potential with the centrifugal term. Comments on the energy eigenvalue behavior versus dimension are included. The inter-dimensional degeneracy for various orbital quantum number l and dimensions D are studied. The expectation values of some physical parameters are reported via the FeynmanHellmann theorem.

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“…According to Ref. [33], the weight of the dominant K = 0, l x = l y = 0 wave function component is 95.3%, and the contribution of this component together with the next K = 2, l x = l y = 0 component is 98.4%. The dominant components of the 11 Li ground state wave function in the oscillator representation, κ, K = 0, l x = 0, l y = 0 : 00 | Ψ and κ, K = 2, l x = 0, l y = 0 : 00 | Ψ , are shown in Fig.…”

Section: Application Tomentioning

confidence: 99%

“…Table 1 The 11 Li two-neutron separation energy E(2n) and rms matter radius r 2 1/2 obtained in the calculations with ω = 6.5 MeV together with the results of theoretical studies of Ref. [33] and experimental data. If ω differs much from the best convergence value, we have the conventional variational-type monotonic convergence of the J-matrix ground state energy and rms radius (Fig.…”

Section: Application Tomentioning

confidence: 99%

Loosely bound three-body nuclear systems in the J-matrix approach

Lurie¹,

Shirokov²

2004

Annals of Physics

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We discuss the extension of the oscillator-basis J-matrix formalism on the case of true A-body scattering. The formalism is applied to loosely-bound 11 Li and 6 He nuclei within three-body cluster models 9 Li + n + n and α + n + n. The J-matrix formalism is used not only for the calculation of the three-body continuum spectrum wave functions but also for the calculation of the S-matrix poles associated with the 11 Li and 6 He ground states to improve the description of the binding energies and ground state properties. The effect of the phase equivalent transformation of the n−α interaction on the properties of the 6 He nucleus is examined.

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Calculation of 11 Li in the framework of a three-body model with simple central potentials

Cited by 58 publications

References 8 publications

Electron scattering on two-neutron halo nuclei: The case of 6He

Electron scattering on two-neutron halo nuclei: The case of 6He

Approximate Solutions of Schrödinger Equation under Manning-Rosen Potential in Arbitrary Dimension via SUSYQM

Loosely bound three-body nuclear systems in the J-matrix approach

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