Binding Mechanism of a Neutron-Rich Nucleus <sup>6</sup>He and Its Excited States

Aoyama, Shigeyoshi; Mukai, Shigeo; Katō, Kiyoshi; Ikeda, Kiyomi

doi:10.1143/ptp.93.99

Cited by 78 publications

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“…If the calculation is done in the Vtype coordinates, (which is not correct as mentioned in Sec. II C), the ground state energy of 6 He would go down to −0.749 MeV; the result is again consistent with the values obtained by a Lagrange-mesh calculation [24] and a hybrid T+V model calculation [14]. The corresponding energy for the 6 Li ground state would be −4.68 MeV, instead of −3.91 MeV calculated correctly in the Y-type coordinates.…”

Section: A Spectroscopic Propertiessupporting

confidence: 85%

Momentum distribution and correlation of two-nucleon relative motion inHe6andLi6

Horiuchi

Suzuki

2007

Phys. Rev. C

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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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Section: A Spectroscopic Propertiessupporting

confidence: 85%

Momentum distribution and correlation of two-nucleon relative motion inHe6andLi6

Horiuchi

Suzuki

2007

Phys. Rev. C

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“…While most theoretical studies have been focused on dipole strength [45,55,56], our includes many more multipolarities. In order to compare our approach with others, we have also performed a set of calculations for dipole response from ground state to all components of 1 − state.…”

Section: Dipole Strength Distributionmentioning

confidence: 99%

Electric multipole response of the halo nucleus 6He

et al. 2016

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The role of different continuum components in the weakly-bound nucleus 6 He is studied by coupling unbound spd-waves of 5 He by means of simple pairing contact-delta interaction. The results of our previous investigations in a model space containing only p-waves, showed the collective nature of the ground state and allowed the calculation of the electric quadrupole transitions. We extend this simple model by including also sd-continuum neutron states and we investigate the electric monopole, dipole and octupole response of the system for transitions to the continuum, discussing the contribution of different configurations.

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“…The CS method has been successfully applied in quantum chemistry to solve many-body problems with an extremely high accuracy [14,15,[21][22][23] and also in nuclear physics and in calculations of resonance parameters [24,25] and cluster systems [16,[26][27][28]. In the nuclear three-body calculations, mainly Jacobi coordinates have been employed.…”

Section: Introductionmentioning

confidence: 99%

Nuclear three-body problem in the complex energy plane: Complex-scaling Slater method

et al. 2014

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Background:The physics of open quantum systems is an interdisciplinary area of research. The nuclear "openness" manifests itself through the presence of the many-body continuum representing various decay, scattering, and reaction channels. As the radioactive nuclear beam experimentation extends the known nuclear landscape toward the particle drip lines, the coupling to the continuum space becomes exceedingly more important. Of particular interest are weakly bound and unbound nuclear states appearing around particle thresholds. Theories of such nuclei must take into account their open quantum nature. Purpose:To describe open quantum systems, we introduce a complex-scaling (CS) approach in the Slater basis. We benchmark it with the complex-energy Gamow shell model (GSM) by studying energies and wave functions of the bound and unbound states of the two-neutron halo nucleus 6 He viewed as an α + n + n cluster system. Methods: Both CS and GSM approaches are applied to a translationally invariant Hamiltonian with the two-body interaction approximated by the finite-range central Minnesota force. In the CS approach, we use the Slater basis, which exhibits the correct asymptotic behavior at large distances. To extract particle densities from the back-rotated CS solutions, we apply the Tikhonov regularization procedure, which minimizes the ultraviolet numerical noise. Results: We show that the CS-Slater method is both accurate and efficient. Its equivalence to the GSM approach has been demonstrated numerically for both energies and wave functions of 6 He. One important technical aspect of our calculation was to fully retrieve the correct asymptotic behavior of a resonance state from the complex-scaled (square-integrable) wave function. While standard applications of the inverse complex transformation to the complex-rotated solution provide unstable results, the stabilization method fully reproduces the GSM benchmark. We also propose a method to determine the smoothing parameter of the Tikhonov regularization. Conclusions:The combined suite of CS-Slater and GSM techniques has many attractive features when applied to nuclear problems involving weakly bound and unbound states. While both methods can describe energies, total widths, and wave functions of nuclear states, the CS-Slater method-if it can be applied-can provide additional information about partial energy widths associated with individual thresholds.

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Binding Mechanism of a Neutron-Rich Nucleus ⁶He and Its Excited States

Cited by 78 publications

References 0 publications

Momentum distribution and correlation of two-nucleon relative motion inHe6andLi6

Momentum distribution and correlation of two-nucleon relative motion inHe6andLi6

Electric multipole response of the halo nucleus 6He

Nuclear three-body problem in the complex energy plane: Complex-scaling Slater method

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Binding Mechanism of a Neutron-Rich Nucleus 6He and Its Excited States

Cited by 78 publications

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Momentum distribution and correlation of two-nucleon relative motion inHe6andLi6

Momentum distribution and correlation of two-nucleon relative motion inHe6andLi6

Electric multipole response of the halo nucleus 6He

Nuclear three-body problem in the complex energy plane: Complex-scaling Slater method

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Binding Mechanism of a Neutron-Rich Nucleus ⁶He and Its Excited States