Three-body continuum spatial correlations in Borromean halo nuclei

Danilin, B. V.; Rogde, T.; Vaagen, J. S.; Thompson, I. J.; Zhukov, M. V.

doi:10.1103/physrevc.69.024609

Cited by 26 publications

(25 citation statements)

References 26 publications

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“…We also note that, all the interaction effects, such as higher partial waves in the interaction and/or Pauli blocking effect are, to some extent, included in the model, as long as the experimental two-and three-body energies are supplied. In this perspective, it is of interest to extend the three-body continuum calculation of C nn , done in [17] for 6 He, to analyze the actual data.…”

mentioning

confidence: 99%

Neutron-neutron correlation in the halo dissociation of light exotic nuclei

2005

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We present model results for the two-halo-neutron correlation functions, C nn , for the dissociation process of light exotic nuclei modelled as two neutrons and a core. A minimum is predicted for C nn as a function of the relative momentum of the two neutrons, p nn , due to the coherence of the neutrons in the halo and final state interaction. Studying the systems 14 Be, 11 Li,and 6 He within this model, we show that the numerical asymptotic limit, C nn → 1, occurs only for p nn > ∼ 400 MeV/c, while such limit is reached for much lower values of p nn in an independent particle model as the one used in the analysis of recent experimental data. Our model is consistent with data once the experimental correlation function is appropriately normalized. The discovery of radioactive exotic weakly bound nuclei, rich in neutrons or protons, beyond the drip line have brought a lot of interest in the nuclear structure and reactions of these unstable nuclei. The traditional nuclear models are unable to describe the long-range correlations between the nucleons of the halo. The large size of the halo has stimulated several experimental and theoretical studies devoted to clarify the new aspects of the structure, stability, and reaction of these nuclei, including astrophysical applications (see, for example, [1][2][3]).The effect of the large spatial extension of the neutron halo, was probed in a recent fusion experiment of 6 He with 238 U target [4]. It was observed a large reaction cross section due to a direct 2n (n represents a neutron) transfer rather than an enhancement of the complete fusion cross section. In view of the large size of the halo (r rms nn = 5.9 ± 1.2 fm [5], r rms nn is the nn root-mean-square radius) which is comparable to the size of 238 U itself, it is most likely that a correlated neutron-neutron (nn) is transferred to 238 U while the 4 He is still far from the fusion barrier, favoring the 2n transfer process.A novel view of the complete fusion reaction for large halo nuclei also emerges [6]: It is most probable that the core approaches the fusion barrier of an excited target nucleus that has already absorbed the halo. This interpretation is in line with the concept of an absorptive many-body potential written in the relative coordinates of the core, two neutrons, and the target [7].The need for a deeper insight into the key aspects of the structure and dynamics of the halo in Borromean three-body systems (where all the subsystems are unbound), like 6 He is evident. In this respect, using intensity interferometry applied with a new iterative technique, Marqués et al. [5,8] recently probed the spatial configuration of two-neutron halo systems and estimated the mean-square nn distances as well, considering the dissociation of 6 He, 11 Li, and 14 Be in the field of a heavy nucleus target. The spatial configuration of 11 Li was also studied by Petrascu et al. [9,10]. The nn correlation function, C nn , is extracted as a function of the relative momentum between the neutrons, p nn . As the absolute normaliza...

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confidence: 99%

Neutron-neutron correlation in the halo dissociation of light exotic nuclei

2005

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“…[2] and [3] we summarized the Jacobi spatial x, y and relative momentum k x , k y coordinates necessary to describe the bound and scattering states of three-body systems consisting of a spinless core and two halo nucleons. We henceforth use the same notations for our three-body wave functions and all variables.…”

Section: Energy Correlations In Transitions To Three-body Continuummentioning

confidence: 99%

“…The earliest articles [1] examined simple transition responses, summed over all final states. More recently we have studied general features of the spatial two-dimensional densities [2] and intrinsic energy correlations in 3 → 3 scattering [3], again exemplified by the continuum of 6 He. Three-body core+n + n dynamics and the Schrödinger threebody equation, solved within the method of hyperspherical harmonics (HH) (see Refs.…”

Section: Introductionmentioning

confidence: 99%

“…Three-body core+n + n dynamics and the Schrödinger threebody equation, solved within the method of hyperspherical harmonics (HH) (see Refs. [1][2][3][4][5]), were used consistently for both bound and continuum states. For 6 He a 'realistic' αn interaction [1,4] with purely repulsive s-wave component and the GPT nn interaction [6] were used.…”

Section: Introductionmentioning

confidence: 99%

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Three-body continuum energy correlations in Borromean halo nuclei. III. Short-range external fields

et al. 2007

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Energy correlations in transitions from the bound state to the three-body continuum of Borromean halo nuclei are considered. A core+n + n three-body cluster model which reproduces the experimentally known properties of 6 He and 11 Li has been used to study the low-lying resonances and soft modes. An analysis of the correlated responses in 6 He shows that in the case of the narrow three-body 2 + 1 resonance the transition energy correlations are the same as in the intrinsic correlated structure in 3 → 3 scattering. They differ significantly for wide 2 + 2 , 1 + 1 resonances, and also for the soft dipole and monopole modes, where, due to the transition operators, the intertwining of the ground state and the three-body continuum plays a significant role.

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“…[40,41]. The substantial challenge of computing other observables than energy is also being addressed, with inspirations drawn from few-body studies using hyperharmonics [44,45]. …”

Section: Conclusion and Future Perspectivesmentioning

confidence: 99%

Effective interaction techniques for the Gamow shell model

2005

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We apply a contour deformation technique in momentum space to the newly developed Gamow shell model, using the drip-line nuclei 5 He, 6 He, and 7 He as test cases. A major problem in Gamow shell-model studies of nuclear many-body systems is the increasing number of many-body configurations due to the large number of resonant and complex-continuum single-particle orbits necessary to reproduce multiparticle bound and resonant states. We address this problem using two different effective operator approaches generalized to the complex momentum plane. These are the Lee-Suzuki similarity transformation method for complex interactions and the multireference perturbation theory method. We show that a combination of these two approaches results in a drastic truncation of the number of relevant configurations compared with direct diagonalization. This offers interesting perspectives for studies of weakly bound systems.

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Three-body continuum spatial correlations in Borromean halo nuclei

Cited by 26 publications

References 26 publications

Neutron-neutron correlation in the halo dissociation of light exotic nuclei

Neutron-neutron correlation in the halo dissociation of light exotic nuclei

Three-body continuum energy correlations in Borromean halo nuclei. III. Short-range external fields

Effective interaction techniques for the Gamow shell model

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