A novel method for determining the single particle potential directly from the measured single particle density: Application to the charge density difference between the isotones 206Pb–205Tl

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 SchrÃ¶dinger fluid as functions of the deformation parameter Î². In this case we calculated also the electric quadrupole moments of the two nuclei by applying Nilsson model as functions of Î². In the second approach, we used a strongly deformed nonaxial single-particle potential, depending on Î² and the nonaxiality parameter Î³ , 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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Density dependence of the single-particle potential in nuclear matter

Physics Letters B ◽

10.1016/0370-2693(81)90528-1 ◽

1981 ◽

Vol 106 (4) ◽

pp. 250-254 ◽

Cited By ~ 47

Author(s):

J. Boguta

Keyword(s):

Nuclear Matter ◽

Density Dependence ◽

Single Particle ◽

Particle Potential ◽

Single Particle Potential

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The role of single-particle density in chemistry

Reviews of Modern Physics ◽

10.1103/revmodphys.53.95 ◽

1981 ◽

Vol 53 (1) ◽

pp. 95-126 ◽

Cited By ~ 130

Author(s):

Anjuli S. Bamzai ◽

B. M. Deb

Keyword(s):

Single Particle ◽

Particle Density ◽

Single Particle Density

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A SOLVABLE MODEL OF INTERACTING MANY BODY SYSTEMS EXHIBITING A BREAKDOWN OF THE BOLTZMANN EQUATION

International Journal of Modern Physics B ◽

10.1142/s0217979214500465 ◽

2014 ◽

Vol 28 (03) ◽

pp. 1450046

Author(s):

B. H. J. McKELLAR

Keyword(s):

Boltzmann Equation ◽

Time Dependence ◽

Single Particle ◽

Density Operator ◽

Particle Density ◽

Solvable Model ◽

Many Body ◽

Single Particle Density ◽

The Boltzmann Equation ◽

Many Body Systems

In a particular exactly solvable model of an interacting system, the Boltzmann equation predicts a constant single particle density operator, whereas the exact solution gives a single particle density operator with a nontrivial time dependence. All of the time dependence of the single particle density operator is generated by the correlations.

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