Pseudospin and spin symmetries in single particle resonant states in Pb isotopes

Shi, Xin-Xing; Liu, Quan; Guo, Jian-You; Ren, Zhongzhou

doi:10.1016/j.physletb.2019.135174

Cited by 15 publications

(6 citation statements)

References 46 publications

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“…In this study, we aimed to compare the results with those obtained by previous GF calculations [85] and also those obtained by CMR [18], CSM [25], RSM [32], and ACCC [39] methods. We take the same nucleus as an example and investigate the single-particle resonant states for neutrons by taking the GF method based on the RMF theory.…”

Section: Snmentioning

confidence: 99%

“…Finally, to compare our results with those obtained with CMR [18], CSM [25], RSM [32], and ACCC [39] methods, we also calculate the resonant states with the RMF-GF method by taking the NL3 [91] effective interaction. The energies for the single-neutron resonant states , , , and by those methods are listed in Table 2.…”

Section: Mev Tomentioning

confidence: 99%

“…Some approaches are based on the conventional scattering theories, such as R-matrix theory [8,9], K-matrix theory [10], S-matrix theory [11,12], Jost function approach [13,14], and the scattering phase shift (SPS) method [11,15,16]. Further, some techniques that are used for bound states have also been extended to study the single-particle resonant states, such as the complex momentum representation (CMR) method [17][18][19], the complex scaling method (CSM) [20-28], complex-scaled Green's function (CGF) method [29][30][31], real stabilization method (RSM) [32], and analytical continuation of the coupling constant (ACCC) method [33][34][35][36][37][38][39][40][41][42][43][44][45].…”

mentioning

confidence: 99%

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Single-particle resonant states with Green’s function method *

Chen¹,

Li²,

Li³

et al. 2020

Chinese Phys. C

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This study employs the relativistic mean field theory with the Green's function method to study the single-particle resonant states. In contrast to our previous work [Phys. Rev. C, 90: 054321 (2014)], the resonant states are identified by searching for the poles of Green's function or the extremes of the density of states. This new approach is highly effective for all kinds of resonant states, no matter whether they are broad or narrow. The dependence on the space size for the resonant energies, widths, and the density distributions in the coordinate space has been checked and was found to be very stable. Taking 120Sn as an example, four new broad resonant states , , , and were observed, and the accuracy for the width of the very narrow resonant state was highly improved to MeV. Further, our results are very close to those obtained using the complex momentum representation method and the complex scaling method.

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Section: Snmentioning

confidence: 99%

Section: Mev Tomentioning

confidence: 99%

mentioning

confidence: 99%

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Single-particle resonant states with Green’s function method *

Chen¹,

Li²,

Li³

et al. 2020

Chinese Phys. C

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“…In addition to the exploration of origin, there are many studies on the phenomena, properties, and observables that may hold PSS. For example, PSS in spherical nuclei [17][18][19][20][21][22] and deformed nuclei [23][24][25][26][27][28], PSS in scattering states [29][30][31][32], resonant states [33][34][35][36][37], anti-nucleon spectra [38,39], and hyperon spectra [40,41], the pseudospin partner bands in the rotational spectra in 108 Tc [10] and 189 Pt [11], and PSS in the triplet bands in the spin symmetry of Dirac Sea [46], and the supersymmetric properties of PSS [47][48][49] were also investigated. More research on PSS can be found in [50,51] and recent references.…”

Section: Introductionmentioning

confidence: 99%

Exploration of origin and breaking mechanism of pseudospin symmetry in relativistic point-coupling model with similarity renormalization group

Huang,

Guo,

Liu

et al. 2023

Phys. Scr.

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The pseudospin symmetry (PSS) is an important physical concept in atomic nuclei. The relativistic point-coupling model is ﬁrst used to explore the origin and breaking mechanism of PSS in real nuclei with 208Pb as an illustrated example. PSS observed in the single particle spectra of heavy nuclei is reproduced in the present calculation. The inﬂuences of the diﬀerent point-coupling interactions on PSS are investigated, it is found that the four-fermion scalar and vector couplings play a dominate role at PSS. The quality of PSS depends on the competition of four-fermion scalar and vector couplings. Those the PSS is better for the weakly bound levels and the energy splittings are more sensitive to the interaction strengths for the deeply bound levels are well explained in terms of the derivative of Σ potential with r. In combination with the similarity renormalization group, the origin and breaking mechanism of PSS are clariﬁed.

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“…Considering that the RMF is one of the most successful microscopic theoretical models, which has been widely used to study weakly bound nuclei [15,26,27,[47][48][49], we proposed a new scheme in 2016 [50] to explore the resonances in the RMF framework, where the Dirac equation is directly solved in the complex momentum representation and the bound and resonant states are dealt with equally. By using the newly developed method, we obtained, not only narrow resonance, but also wide resonance that was difficult to obtain before, and the physical mechanism of halo structure in some exotic nuclei [51][52][53][54] was proposed. Recently, based on the RMF-CMR method, we investigated PSS in single-particle resonant states and its isospin dependence [55].…”

Section: Introductionmentioning

confidence: 99%

Influence of different fields of mesons on the pseudospin symmetry in single-neutron resonant states *

Dai¹,

Shi²,

Chen³

et al. 2021

Chinese Phys. C

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In the framework of the relativistic mean field theory combined with the complex momentum representation method, we elucidate the pseudospin symmetry in the single-neutron resonant states and its dependence on the , , and meson fields. Compared with the effect of the field, the and fields provide the main contributions to the pseudospin energy and width splitting of the resonant pseudospin doublets. Especially, we compare quantitatively the pseudospin wave functions' splittings in resonant doublets, and investigate their dependencies on different fields of mesons, which is consistent with that of energy and width splittings. Current research is helpful to understand the mechanism and properties of pseudospin symmetry for resonant states.

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Pseudospin and spin symmetries in single particle resonant states in Pb isotopes

Cited by 15 publications

References 46 publications

Single-particle resonant states with Green’s function method *

Single-particle resonant states with Green’s function method *

Exploration of origin and breaking mechanism of pseudospin symmetry in relativistic point-coupling model with similarity renormalization group

Influence of different fields of mesons on the pseudospin symmetry in single-neutron resonant states *

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