Halo structure and soft dipole mode of the 6He nucleus in the α + n + n cluster model

The momentum distribution of relative motion between two nucleons gives information on the correlation in nuclei. The momentum distribution is calculated for both 6 He and 6 Li which are described in a three-body model of α+N +N . The ground state solution for the three-body Hamiltonian is obtained accurately using correlated basis functions. The momentum distribution depends on the potential model for the N -N interaction. With use of a realistic potential, the 6 He momentum distribution exhibits a dip around 2 fm −1 characteristic of S-wave motion. In contrast to this, the 6 Li momentum distribution is very similar to that of the deuteron; no dip appears because it is filled with the D-wave component arising from the tensor force.

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“…One introduces a set of important partial waves (ℓ 1 ℓ 2 ) to obtain a converged solution [5,20]. See also Ref.…”

Section: B Variational Solution With Correlated Gaussiansmentioning

confidence: 99%

“…We refer to Refs. [5,6] as the most relevant calculations which include the tensor force. However, none of the literatures including them has considered the momentum distribution between the valence nucleons.…”

Section: Introductionmentioning

confidence: 99%

Momentum distribution and correlation of two-nucleon relative motion inHe6andLi6

Horiuchi

Suzuki

2007

Phys. Rev. C

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“…There are many nuclei that can be described by three-cluster models. For example, low-lying states of 6 He and 6 Li are explained by N + N + 4 He three-body models [1][2][3][4][5][6], where N stands for a nucleon. The comparison of the two nuclei is important to see the difference between dineutron and proton-neutron correlations.…”

mentioning

confidence: 99%

Effects of four-body breakup on6Li elastic scattering near the Coulomb barrier

et al. 2012

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We investigate projectile breakup effects on 6 Li+ 209 Bi elastic scattering near the Coulomb barrier with the four-body version of the continuum-discretized coupled-channels method (four-body CDCC). This is the first application of four-body CDCC to 6 Li elastic scattering. The elastic scattering is well described by the p+n+ 4 He+ 209 Bi four-body model. We propose a reasonable three-body model for describing the four-body scattering, clarifying four-body dynamics of the elastic scattering.PACS numbers: 24.10. Eq, 25.60.Gc, 25.70.De Introduction. Plenty of nuclei are considered to have twocluster or three-cluster configurations as their main components. Three-cluster dynamics is, however, nontrivial compared with two-cluster dynamics. Systematic understanding of three-cluster dynamics is hence important. There are many nuclei that can be described by three-cluster models. For example, low-lying states of 6 He and 6 Li are explained by N + N + 4 He three-body models [1][2][3][4][5][6], where N stands for a nucleon. The comparison of the two nuclei is important to see the difference between dineutron and proton-neutron correlations. Two-neutron halo nuclei such as 11 Li, 14 Be, and 22 C are reasonably described by an n + n + X three-cluster model, where X is a core nucleus. Properties of these threecluster configurations should be confirmed by measuring scattering of the nuclei and analyzing the measured cross sections with accurate reaction theories. The reactions are essentially four-body scattering composed of three constituents of projectile and a target nucleus. Accurate theoretical description of four-body scattering is thus an important subject in nuclear physics.The continuum-discretized coupled-channels method (CDCC) is a fully quantum-mechanical method of describing not only three-body scattering but also four-body scattering [7][8][9]. CDCC has succeeded in reproducing experimental data on both three-and four-body scattering. The theoretical foundation of CDCC is shown with the distorted Faddeev equation [10][11][12]. CDCC for four-body (three-body) scattering is often called four-body (three-body) CDCC; see Refs [13][14][15][16][17][18][19][20][21][22][23][24][25] and references therein for four-body CDCC. So far four-body CDCC was applied to only 6 He scattering.

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“…(13)] uses an effective local momentum approximation (ELMA). This allows us to write the distorted wave function of argument r b as a product of the plane wave of argument R and distorted wave of argument r i .…”

Section: Discussionmentioning

confidence: 99%

“…Clearly, the interaction of valence neutrons is vital for the stability of the two-neutron halo nuclei. They provide interesting examples of the three-body problem in the limit of very weak binding [7], and the three-body methods (within both Faddeev and cluster type approaches) have been extensively applied to study them [3,[8][9][10][11][12][13][14][15][16][17][18][19]. Other approaches like non-relativistic [20] and relativistic [21,22] mean field models and many-body calculations [23] have also been used to investigate the structure of such nuclei.…”

Section: Introductionmentioning

confidence: 99%

Four-body DWBA calculations of the Coulomb breakup of 6He

Chatterjee¹,

Banerjee²,

Shyam³

2001

Nuclear Physics A

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We investigate the Coulomb breakup of the two-neutron halo nucleus 6 He by extending the framework of the finite range post form distorted wave Born approximation theory introduced earlier for the description of the breakup of one-neutron halo nuclei. The model can use the realistic three-body wave function for the 6 He ground state. Calculations have been performed for energy, total and parallel momentum distributions of 4 He fragment. The two-body 4 He-neutron and neutron-neutron correlations have also been calculated. Our results are compared with those of an adiabatic model of the Coulomb breakup reactions. The two theories lead to almost identical results. Comparisons are also made with the available experimental data. It is found that the pure Coulomb breakup can describe the bulk of the data taken at below grazing angles. However, a rigorous description of all the available data requires the consideration of the nuclear breakup effects. PACS numbers: 24.50.+g, 25.60.Gc Key words: Coulomb breakup of 6 He, two-neutron halo nucleus, post form DWBA with finite range effects.

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Halo structure and soft dipole mode of the 6He nucleus in the α + n + n cluster model

Cited by 86 publications

References 32 publications

Momentum distribution and correlation of two-nucleon relative motion inHe6andLi6

Momentum distribution and correlation of two-nucleon relative motion inHe6andLi6

Effects of four-body breakup on6Li elastic scattering near the Coulomb barrier

Four-body DWBA calculations of the Coulomb breakup of 6He

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