Probing resonances in deformed nuclei by using the complex-scaled Green's function method

Shi, Xin-Xing; Shi, Min; Niu, Zhong-Ming; Heng, Tai-Hua; Guo, Jian-You

doi:10.1103/physrevc.94.024302

Cited by 17 publications

(7 citation statements)

References 55 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: 57%

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: 57%

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

et al. 2017

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“…Besides the conventional scattering phase shift method [54], several bound-state-like approaches [55,56], such as the analytical continuation in coupling constant [57,58,59,60,61,62], the real stabilization method [63,64,65] and the complex scaling method (CSM) [66,67,68,69], are often used to study single particle resonances in atomic nuclei. Several other methods, e.g., the Jost function method [70,71], the Green's function method [72,73], the Green's function + CSM [69,74], and solving Schrödinger or Dirac equations in the complex momentum representation [75,76], have also been implemented in nuclear models.…”

Section: The Weakly Bound Feature Of Exotic Nucleimentioning

confidence: 99%

Structure of Exotic Nuclei: a Theoretical Review

Zhou¹

2017

Proceedings of the 26th International Nuclear Physics Conference — PoS(INPC2016)

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“…In Ref. [12], we used the complex scaled Green's function (CGF) method to study 45 S under axial deformation, and the superiority of the method was shown. Furthermore, the resonance has resulted in the discovery of exotic phenomena of the deformed nuclei.…”

Section: Introductionmentioning

confidence: 99%

Resonances with triaxial deformation in the complex scaled Green’s function method

Shi¹,

Liu²,

Shi³

et al. 2018

Chinese Phys. C

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We extend the complex scaled Green's function (CGF) method to describe resonances with triaxial deformation and present a theoretical formalism. Taking 43 S as an example, we elaborate numerical details and demonstrate how to determine the resonance parameters. With changes in the deformation parameters, we study the influence of the triaxial deformation parameter γ on single-particle levels. In particular, the present scheme focuses on the advantages of the complex scaling method (CSM) and the Green's function method, and is suitable for the exploration of resonances.

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Probing resonances in deformed nuclei by using the complex-scaled Green's function method

Cited by 17 publications

References 55 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

Structure of Exotic Nuclei: a Theoretical Review

Resonances with triaxial deformation in the complex scaled Green’s function method

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