Triaxial rotor model for the study of the nuclear structure and transition between different symmetries in nuclei for A = 120-200 mass region

Author(s):  
Vidya Devi
2020 ◽  
Vol 29 (09) ◽  
pp. 2050073
Author(s):  
Sven Åberg ◽  
Akhilesh Yadav ◽  
A. Shukla

Experimental observation of [Formula: see text]Si as a proton bubble nuclei has heated up the interest in the study of exotic bubble shaped nuclei. In this work, some of the potential doubly bubble-like (for proton as well as neutron both simultaneously) cases have been explored using relativistic Hartree–Bogoliubov (RHB) in light mass region, specially around N or [Formula: see text]. Further, the role of pairing and the evolution of new shell gaps around [Formula: see text] or [Formula: see text] and 34 have been investigated, as one moves toward drip lines. This study suggests that the occupancies/vacancies of neutron/proton orbitals for lower angular momentum state plays major role in nuclear structure to create bubble-like structure and [Formula: see text]O[Formula: see text], [Formula: see text]Mg8 and [Formula: see text]Si[Formula: see text] may have dual bubble-like structures.


2019 ◽  
Vol 18 ◽  
pp. 75
Author(s):  
P. Giannaka ◽  
T. S. Kosmas ◽  
V. Tsakstara

Electron capture on nucleons and nuclei, is one of the most important weak interaction processes in the dynamics and evolution of massive stars. Especially on nuclei of the Fe mass region the role of e− capture is crucial in the phase of stellar core collapse. Furthermore, a realistic treatment of electron capture on heavy nuclei provides signi cant information in the hydrodynamics of core collapse and bounce. In this work, we exploit the advantages of a recently published numerical approach to perform nuclear structure calculations of the electron capture in F e group nuclear isotopes. As a rst concrete example, which is simultaneously o ering a good test of ourmethod,wechoosethereaction56Fe(e−,νe)56Mn* that plays a decisive role in core collapse supernovae. We also improve the previous formalism by constructing compact analytical expressions for the required reduced matrix elements of all basic multipole operators in isospin representation. Such a compact formalism o ers the advantage of performing state-by-state calculations of the transition rates for semi- leptonic nuclear processes through advantageous computer codes written in isospin representation.


Author(s):  
Sadek ZEGHIB

Previously observed negative and positive parity states of <sup>105</sup>Tc were studied in the framework of particle-rotor model. Transition properties and experimental energies were compared to the predictions of the model calculations. A systematic study of the evolution of the intruder π1/2+[413] band in the nuclear structure of odd-A Technetium isotopes <sup>95,97,99,101,103,105,107</sup>Tc is presented as well. The existence of this intruder band has been argued previously in <sup>95,97,99,101,103</sup>Tc isotopes (partially populated) and fully observed and confirmed in <sup>105</sup>Tc. It will be shown that changes in deformation and subsequently the position of Fermi level vis a vis the 1/2+[431] intruder orbital originating from the π (d<sub>5/2</sub>, g<sub>7/2</sub>) subshells predominantly affect these systematic changes. All four interpreted experimental rotational bands are naturally predicted by the rotational model as bands build on states of good Ω originating from 5/2+[422], 5/2-[303], 3/2-[301] and 1/2+[431] orbitals near the Fermi level in deformed <sup>105</sup>Tc (strong coupling). Further experimental investigation about missing data is needed for those observed low lying states in both <sup>105</sup>Tc and <sup>103</sup>Tc in order to confirm the presence of the 1/2-[301] rotational band that is well defined in lighter <sup>95,97,99,101</sup>Tc isotopes.


2013 ◽  
Vol 91 (10) ◽  
pp. 777-782
Author(s):  
Yuvraj Singh ◽  
S.K. Dhiman ◽  
M. Singh ◽  
Chhail Bihari ◽  
A.K. Varshney ◽  
...  

The quadrupole deformation β are extracted independently from energy and transition rates. The set of asymmetric parameters γ are obtained from energy ratio [Formula: see text]. It is observed that the set of β values evaluated from B(E2) are closer to the values of β extracted from [Formula: see text] on considering the Grodzins empirical rule (Grodzins. Phys. Lett. 2, 88 (1962)) with uncertainty in even Mo, Ru, and Pd nuclei. The moment of inertia [Formula: see text] generating the yrast band in these nuclei is evaluated from [Formula: see text] using the asymmetric rotor model (Davydov and Filippov. Nucl. Phys. 8, 237 (1958)). The β, γ, and I0 values have good correlations with NpNn. In addition, β and I0 are related linearly in general. This systematic relate [Formula: see text] [Formula: see text] and asymmetric deformation γ that enables one to predict [Formula: see text], the static quadrupole moment Q0 and quadrupole deformation β of those nuclei whose only [Formula: see text] is known.


2005 ◽  
Vol 758 ◽  
pp. 765-768 ◽  
Author(s):  
Yang Sun ◽  
Michael Wiescher ◽  
Ani Aprahamian ◽  
Jacob Fisker

2015 ◽  
Vol 39 (6) ◽  
pp. 064102 ◽  
Author(s):  
Mahesh K. Sharma ◽  
R. N. Panda ◽  
Manoj K. Sharma ◽  
S. K. Patra

2015 ◽  
Vol 93 (8) ◽  
pp. 862-870
Author(s):  
Sadek Zeghib

A systematic study of the evolution of the nuclear structure (at low and medium energies) of odd-A 95–103Tc isotopes is presented. These changes are indeed affected predominantly by changes in deformation and subsequently the position of the Fermi level. Hence a complete study of previously observed positive and negative parity states (at low and medium energies) of 103Tc in the framework of the particle–rotor model is performed. Experimental energies and transition properties will be compared to those predicted by the model calculations. The systematic model calculations show that those rotational “multiplets” emerging as a result of the larger Coriolis mixing, especially among positive-parity Nilsson states of g9/2 parentage in less deformed isotopes 95, 97, 99, 101Tc, are just as natural a prediction of the model as rotational bands built on states of good Ω in well deformed 103Tc (strong coupling) as confirmed experimentally.


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