Single-particle resonances in a deformed Dirac equation

Li, Z. P.; Meng, J.; Zhang, Y.; Zhou, Shan‐Gui; Savushkin, L. N.

doi:10.1103/physrevc.81.034311

Cited by 45 publications

(40 citation statements)

References 31 publications

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“…Using the multichannel scattering approach, Hamamoto [38] has studied how the single-particle energies change from bound to resonant levels when the depth of the potential is varied. This method has also been applied for the resonances of a Dirac particle in a deformed potential [39]. Hamamoto [40] has performed a systematic research on the resonances of deformed nuclei by the multichannel scattering approach, which includes the evolution of shell structure for exotic nuclei.…”

Section: Introductionmentioning

confidence: 99%

Resonant states of deformed nuclei in the complex scaling method

et al. 2012

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Section: Introductionmentioning

confidence: 99%

Resonant states of deformed nuclei in the complex scaling method

et al. 2012

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“…Compared with Refs. [56,57], where the bound solutions are obtained by solving a set of coupled differential equations and every resonant state is handled solely by the scattering phase shift method or ACCC approach, there is no doubt that the present method is more convenient. The diagonalization of the Hamiltonian matrix in Eq.…”

Section: Formalismmentioning

confidence: 99%

Probing resonances in the Dirac equation with quadrupole-deformed potentials with the complex momentum representation method

et al. 2017

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Resonance plays critical roles in the formation of many physical phenomena, and many techniques have been developed for the exploration of resonance. In a recent letter [Phys. Rev. Lett. 117, 062502 (2016)], we proposed a new method for probing single-particle resonances by solving the Dirac equation in complex momentum representation for spherical nuclei. Here, we extend this method to deformed nuclei with theoretical formalism presented. We elaborate numerical details, and calculate the bound and resonant states in 37 Mg. The results are compared with those from the coordinate representation calculations with a satisfactory agreement. In particular, the present method can expose clearly the resonant states in complex momentum plane and determine precisely the resonance parameters for not only narrow resonances but also broad resonances that were difficult to obtain before.

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“…There have been significant theoretical efforts to study resonant states in exotic nuclei [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Because of the numerical difficulties to solve the coupled-channel Schrödinger equations for deformed potentials, several non-self-consistent techniques have been used to obtain the energies and widths for s.p.…”

Section: Introductionmentioning

confidence: 99%

Analytical continuation from bound to resonant states in the Dirac equation with quadrupole-deformed potentials

Shi-sheng

Signoracci

et al. 2015

Phys. Rev. C

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Background Resonances with pronounced single particle characteristics are crucial for quantitative descriptions of exotic nuclei near and beyond the drip lines, and often impact halo formation and nucleon decay processes. Since the majority of nuclei are deformed, the interplay between deformation and orbtial structure near threshold can lead to improved descriptions of exotic nuclei.Purpose Develop a method to study single particle resonant orbital structure in the Dirac equation with a quadrupoledeformed Woods-Saxon potential. Determine the structure evolution of bound and resonant levels with deformation in this scheme, and examine the impact on halo formation in loosely bound systems, with a focus on the recent halo candidate nucleus 37 Mg.Method Analytical continuation of the coupling constant (ACCC) method is developed on the basis of the Dirac equation with a deformed Woods-Saxon potential. The scalar and vector terms in the deformed potential are determined by the energies of the valence neutron and nearby orbitals, which are extracted from a self-consistent relativistic HartreeBogoliubov (RHB) calculation with the PC-PK1 density functional.Results We compare the energies and widths of resonant orbitals in the recent halo nucleus candidate 37 Mg using the ACCC method based on the Dirac coupled-channel equations with those determined from the scattering phase shift (SPS) method. It is found that the results from the two methods agree well for narrow resonances, whereas the SPS method fails for broad resonances. Nilsson levels for bound and resonant orbitals from the ACCC method are calculated over a wide range of deformations and show some decisive hints of halo formation in 37 Mg.

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Single-particle resonances in a deformed Dirac equation

Cited by 45 publications

References 31 publications

Resonant states of deformed nuclei in the complex scaling method

Resonant states of deformed nuclei in the complex scaling method

Probing resonances in the Dirac equation with quadrupole-deformed potentials with the complex momentum representation method

Analytical continuation from bound to resonant states in the Dirac equation with quadrupole-deformed potentials

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