Abstract
We have developed a special computing code for calculation of nuclear shape changes and quadrupole moments ( Q) of Gadolinium Isotopes. It has been shown from these calculations that by increasing neutron number, deformation parameter also increase for more heavier isotopes which means more deformation from spherical shape. By comparison with Nilsson level diagrams we can infer quadrupole deformation parameter (β2) and calculate quadrupole moments of these isotopes.
Highlights
We know that nuclei in many cases have large quadrupole moments (Q) and they don’t behave like a point charge, rather a spherical or elliptical shape with an axis of symmetry is considered for these nuclei
When the rotational energy exceeds the energy needed to break a pair of nucleon, the unpaired nucleon goes into different orbits, which result in change of the moment of inertia
In this paper we present a new method for calculation of quadrupole moments of odd-A Gadolinium isotopes for the first time
Summary
We know that nuclei in many cases have large quadrupole moments (Q) and they don’t behave like a point charge, rather a spherical or elliptical shape with an axis of symmetry is considered for these nuclei. When the rotational energy exceeds the energy needed to break a pair of nucleon, the unpaired nucleon goes into different orbits, which result in change of the moment of inertia An explanation of this effect is due to a disappearance of the pairing correlation by the action of Coriols forces, where the nucleus undergoes a phase transition from a super fluid state to a state of independent particle motion. Other proposed explanations such as rotational alignment and centrifugal stretching, along with the former, could be described in terms of band crossing; the case where the breakup of one pair of nucleons providing a large angular momentum, which may couple with the collective rotation to produce a new band. By finding the deformation parameter we can calculate the quadrupole moment of the deformed isotope and study shape changes
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