scholarly journals Pseudospin symmetry and octupole correlations for multiple chiral doublets in Ba131

2020 ◽  
Vol 102 (2) ◽  
Author(s):  
Y. P. Wang ◽  
Y. Y. Wang ◽  
J. Meng
Keyword(s):  
Pseudospin Symmetry

scholarly journals Spin and pseudospin solutions to Dirac equation and its thermodynamic properties using hyperbolic Hulthen plus hyperbolic exponential inversely quadratic potential

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Ituen B. Okon ◽  
E. Omugbe ◽  
Akaninyene D. Antia ◽  
C. A. Onate ◽  
Louis E. Akpabio ◽  
...  
Keyword(s):  
Dirac Equation ◽  
Thermodynamic Properties ◽  
Energy Equation ◽  
Pseudospin Symmetry ◽  
Spin Symmetry ◽  
Bound State ◽  
Compact Form ◽  
Relativistic Energy ◽  
Quadratic Potential ◽  
Special Cases

AbstractIn this research article, the modified approximation to the centrifugal barrier term is applied to solve an approximate bound state solutions of Dirac equation for spin and pseudospin symmetries with hyperbolic Hulthen plus hyperbolic exponential inversely quadratic potential using parametric Nikiforov–Uvarov method. The energy eigen equation and the unnormalised wave function were presented in closed and compact form. The nonrelativistic energy equation was obtain by applying nonrelativistic limit to the relativistic spin energy eigen equation. Numerical bound state energies were obtained for both the spin symmetry, pseudospin symmetry and the non relativistic energy. The screen parameter in the potential affects the solutions of the spin symmetry and non-relativistic energy in the same manner but in a revised form for the pseudospin symmetry energy equation. In order to ascertain the accuracy of the work, the numerical results obtained was compared to research work of existing literature and the results were found to be in excellent agreement to the existing literature. The partition function and other thermodynamic properties were obtained using the compact form of the nonrelativistic energy equation. The proposed potential model reduces to Hulthen and exponential inversely quadratic potential as special cases. All numerical computations were carried out using Maple 10.0 version and Matlab 9.0 version softwares respectively.

scholarly journals Pseudospin symmetry and structure of nuclei with Z ≥ 100

2007 ◽  
Vol 70 (5) ◽  
pp. 812-817 ◽  
Author(s):  
R. V. Jolos ◽  
V. V. Voronov
Keyword(s):  
Pseudospin Symmetry

Pseudospin symmetry as an accidental symmetry in the relativistic framework

2008 ◽  
Vol 37 (2) ◽  
Author(s):  
S. Marcos ◽  
M. López-Quelle ◽  
R. Niembro ◽  
L. N. Savushkin
Keyword(s):  
Pseudospin Symmetry ◽  
Relativistic Framework ◽  
Accidental Symmetry

On pseudospin symmetry of Dirac states

2013 ◽  
Vol 87 (2) ◽  
pp. 025004 ◽  
Author(s):  
Karl-Erik Thylwe ◽  
Majid Hamzavi
Keyword(s):  
Pseudospin Symmetry

Pseudospin symmetry in nuclear physics

1992 ◽  
Vol 68 (14) ◽  
pp. 2133-2136 ◽  
Author(s):  
C. Bahri ◽  
J. Draayer ◽  
S. Moszkowski
Keyword(s):  
Nuclear Physics ◽  
Pseudospin Symmetry

EXACT SOLUTION OF THE CONTINUOUS STATES FOR GENERALIZED ASYMMETRICAL HARTMANN POTENTIALS UNDER THE CONDITION OF PSEUDOSPIN SYMMETRY

2007 ◽  
Vol 22 (26) ◽  
pp. 4825-4832 ◽  
Author(s):  
JIAN-YOU GUO ◽  
FANG ZHOU ◽  
FENG-LIANG GUO ◽  
JIAN-HONG ZHOU
Keyword(s):  
Exact Solution ◽  
Bound States ◽  
Continuation Method ◽  
Radial Wave Function ◽  
Pseudospin Symmetry ◽  
Radial Wave ◽  
Confluent Hypergeometric Functions ◽  
Momentum Plane ◽  
Scattering Phase ◽  
Hartmann Potential

Under the condition of pseudospin symmetry, the exact solution of Dirac equation is studied and that no bound solutions are observed for generalized asymmetrical Hartmann potential, which is in agreement with that for Coulomb potential. With the analytic continuation method, the unbound solutions are presented by mapping the wave functions of bound states in the complex momentum plane. Furthermore, the scattering phase shifts are obtained from the radial wave function by analyzing the asymptotic behavior of the confluent hypergeometric functions.

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