Application of the complex scaling method in relativistic mean-field theory

Guo, Jian-You; Fang, Xiang-Zheng; Jiao, Peng; Wang, Jing; Yao, Bao-Mei

doi:10.1103/physrevc.82.034318

Cited by 70 publications

(68 citation statements)

References 43 publications

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“…[19][20][21]. Recently, we have applied the CSM to explore the resonances in spherical nuclei [22][23][24][25] and deformed nuclei [26][27][28] in a satisfactory agreement with those obtained by other methods.…”

Section: Introductionsupporting

confidence: 63%

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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Section: Introductionsupporting

confidence: 63%

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

et al. 2017

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“…The interplay between the deformation and the low-lying resonance is very interesting for the open shell nucleus close to the drip line. The recent experimental data on the Coulomb breakup of the nucleus 31 Ne [32] have been well interpreted in terms of deformation with particle populating in the resonant levels [4]. The deformed halos have been investigated systemically in Ref.…”

Section: Introductionmentioning

confidence: 99%

Resonant states of deformed nuclei in the complex scaling method

et al. 2012

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“…In recent years, the study of nuclear single-particle resonant states, especially those in exotic nuclei with unusual N/Z ratios becomes more and more important [46,47,48,49,50,51,52,53,54]. There have been some numerical studies on the PSS [55,56,57,58] and SS [59] in single particle resonant states.…”

Section: Introductionmentioning

confidence: 99%

Exact conservation and breaking of pseudospin symmetry in single particle resonant states

Lü¹,

Zhao²,

Zhou³

2013

AIP Conference Proceedings

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Abstract. In this contribution we present some results on the study of pseudospin symmetry (PSS) in single particle resonant states. The PSS is a relativistic dynamical symmetry connected with the small component of the nucleon Dirac wave function. Many efforts have been made to study this symmetry in bound states. We recently gave a rigorous justification of the PSS in single particle resonant states by examining the zeros of Jost functions corresponding to the small components of the radial Dirac wave functions and phase shifts of continuum states [1]. We have shown that the PSS in single particle resonant states in nuclei is conserved when the attractive scalar and repulsive vector potentials have the same magnitude but opposite sign. Examples of exact conservation and breaking of this symmetry in single particle resonances are given for spherical square-well and Woods-Saxon potentials.

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Application of the complex scaling method in relativistic mean-field theory

Cited by 70 publications

References 43 publications

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

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

Resonant states of deformed nuclei in the complex scaling method

Exact conservation and breaking of pseudospin symmetry in single particle resonant states

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