Three-body model for 6He

Hebach, H.; Henneberg, P.; Kümmel, H.

doi:10.1016/0370-2693(67)90501-1

Cited by 19 publications

(6 citation statements)

References 8 publications

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“…Thus the problem of finding a proper S-wave n-c~ interaction is still open. Our results confirm the dominant character of P3/2-wave of the n-e force stated in [14], where the P~/2 and $1/ewave interactions were neglected. The finding of Ghovanlou and Lehman [18] that P1/2 wave increases the binding of 6He by 25 ~o, and the major effect of a repulsive separable potential in the $1/2 wave in addition to P3/2 and P~/2-wave is to reduce the binding by more than 50 ~, is in agreement with our results.…”

Section: Ill Negative Parity Spectrum Of 9besupporting

confidence: 90%

Negative parity states and ground state properties of the????n system calculated by different forces

1982

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In recent years predictions on the off-shell behavior of composite particles interactions have been made by some theoretical models. The goal of this paper is to test them by using 9Be nucleus. The bound state problem of 9Be considered as a e-~-n threecluster system is solved in configuration space. Several on-shell equivalent local and nonlocal forces for the e-e and n-e interactions are used for calculation of the low lying negative parity spectrum of 9Be, and also of the charge density, quadrupole moment, and the correlation density of 9Be ground state. The contributions to the calculated quantities of different partial waves of the two-body forces are examined and discussed.

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Section: Ill Negative Parity Spectrum Of 9besupporting

confidence: 90%

Negative parity states and ground state properties of the????n system calculated by different forces

1982

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“…It is similar to calculations in Refs. [48][49][50]. Since it is a momentum-space calculation, it is also easy to use the Halo EFT type three-body force in this model.…”

Section: Different Effective Range Expansion (Ere) Parameters;mentioning

confidence: 99%

Neutron-neutron scattering length from the $^6$He$(p,pα)nn$ reaction

Göbel,

Aumann,

Bertulani

et al. 2021

Preprint

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We propose a novel method to measure the neutron-neutron scattering length using the 6 He(p, pα)nn reaction in inverse kinematics at high energies. The method is based on the final state interaction (FSI) between the neutrons after the sudden knockout of the α particle. We show that the details of the neutron-neutron relative energy distribution allow for a precise extraction of the s-wave scattering length. We present the state-of-the-art in regard to the theory of this distribution. The distribution is calculated in two steps. First, we calculate the ground-state wave function of 6 He as a αnn three-body system. For this purpose we use Halo effective field theory (Halo EFT), which also provides uncertainty estimates for the results. We compare our results at this stage to model calculations done with the computer code FaCE. In a second step we determine the effects of the nn FSI using the nn t-matrix. We compare these FSI results to approximate FSI approaches based on standard FSI enhancement factors. While the final distribution is sensitive to the nn scattering length, it depends only weakly on the effective range. Throughout we emphasize the impact of theoretical uncertainties on the neutron-neutron relative energy distribution, and discuss the extent to which those uncertainties limit the extraction of the neutron-neutron scattering length from the reaction 6 He(p, pα)nn.

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“…In Eq. ( 4) the first two terms and the last term correspond to 18 8 1 part, the third and fourth terms are for 11 P 1 part, and the fifth and sixth terms are for 18 D 1 part, and in the summation over n L:;n=1, 2 the terms corresponding to n = 1 and n = 2 are respectively for the central and · the L-S forces.…”

Section: · (B) Equations For Ground State Of LImentioning

confidence: 99%

Three-Body Wave Function of Li⁶

Matsui

1973

Prog. Theor. Phys.

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1947Low-lying states of Li6 have been investigated by regarding Li 6 as a three-particle system consisting of an a-particle, a proton and ·a. neutron. The Faddeev equation for bound states of this system below the three-particle threshold is solved by the nonlocal separable potential of Yamaguchi type. The binding energy of Li6 is reproduced by the fact that N-N and a-N interactions are assumed to be central, and central plus L-S forces, respectively. The energy of the first-excited state of Li6 is well reproduced by the fact that N-N and a-N interactions are assumed to be central plus tensor, and central plus L-S forces, respectively. The energy of the second-excited state of Li6 is reproduced by the fact that N-N and a-N interactions are central, and central plus L-S forces, respectively. The form factor for the excitation by electron scattering from the ground state to the second-excited state in Li 6 is calculated with our model wave function. The calculated form factor is rather larger at higher momentum transfer and the calculated rms radius of Li6 is rather small, in comparison with experimental data_ at Serials Section, Dixson Library on July 2, 2015 http://ptp.oxfordjournals.org/ Downloaded from D (pt, p2) 'iJI '(pt, p2) = il.aut (pt + p2/S) s ( { Pt + p2/S} · {pt' + p2/S}) X Ut (p/ + p2/S) 'iJI'(pt', p2) dpt'

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Three-body model for 6He

Cited by 19 publications

References 8 publications

Negative parity states and ground state properties of the????n system calculated by different forces

Negative parity states and ground state properties of the????n system calculated by different forces

Neutron-neutron scattering length from the $^6$He$(p,pα)nn$ reaction

Three-Body Wave Function of Li⁶

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Three-body model for 6He

Cited by 19 publications

References 8 publications

Negative parity states and ground state properties of the????n system calculated by different forces

Negative parity states and ground state properties of the????n system calculated by different forces

Neutron-neutron scattering length from the $^6$He$(p,pα)nn$ reaction

Three-Body Wave Function of Li6

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Resources

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Three-Body Wave Function of Li⁶