scholarly journals Ξ hyper-nuclear states predicted by NLO chiral baryon-baryon interactions

2021 ◽  
Author(s):  
M Kohno ◽  
K Miyagawa
Keyword(s):  
Single Particle ◽  
Local Density ◽  
Bound State ◽  
Effective Field ◽  
Level Shift ◽  
Chiral Effective Field Theory ◽  
Particle Potential ◽  
Single Particle Potential ◽  
Bound State Problem ◽  
Finite Nuclei

Abstract The Ξ single-particle potential obtained in nuclear matter with the next-to-leading order baryon-baryon interactions in chiral effective field theory is applied to finite nuclei by an improved local-density approximation method. As a premise, phase shifts of ΞN elastic scattering and the results of Faddeev calculations for the ΞNN bound state problem are presented to show the properties of the ΞN interactions in the present parametrization. First, the Ξ states in 14N are revisited because of the recent experimental progress, including the discussion on the ΞN spin-orbit interaction that is relevant to the location of the p-state. Then the Ξ levels in 56Fe are calculated. In particular, the level shift which is expected to be measured experimentally in the near future is predicted. The smallness of the imaginary part of the Ξ single-particle potential is explicitly demonstrated.

The Deformation Structure of the Nuclei 32S and 36Ar

2017 ◽  
Vol 13 (2) ◽  
pp. 4678-4688
Author(s):  
K. A. Kharroube
Keyword(s):  
Single Particle ◽  
Electric Quadrupole ◽  
Quadrupole Moments ◽  
Moments Of Inertia ◽  
Deformation Structures ◽  
Particle Potential ◽  
Nilsson Model ◽  
Single Particle Potential ◽  
Axes Of Symmetry ◽  
Good Agreement

We applied two different approaches to investigate the deformation structures of the two nuclei S32 and Ar36 . In the first approach, we considered these nuclei as being deformed and have axes of symmetry. Accordingly, we calculated their moments of inertia by using the concept of the single-particle Schrödinger fluid as functions of the deformation parameter β. In this case we calculated also the electric quadrupole moments of the two nuclei by applying Nilsson model as functions of β. In the second approach, we used a strongly deformed nonaxial single-particle potential, depending on Î² and the nonaxiality parameter γ , to obtain the single-particle energies and wave functions. Accordingly, we calculated the quadrupole moments of S32 and Ar36 by filling the single-particle states corresponding to the ground- and the first excited states of these nuclei. The moments of inertia of S32 and Ar36 are then calculated by applying the nuclear superfluidity model. The obtained results are in good agreement with the corresponding experimental data.

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