Abstract
The g.s. of heavy and superheavy hydrogen isotopes, namely 4-7 H, are successfully examined by applying the Isomorphic Shell Model. Properties examined are binding energies and effective radii. The novelty of the present work is that, due to the small number of nucleons involved and the subsequently large deformation, an internal collective rotation appears which is inseparable from the usual internal motion even in the ground states of these nuclei, i.e., for such nuclei the adiabatic approximation is not valid. This extra degree of freedom leads to a reduction of binding energies, an increase of effective radii, and an increase of level widths.
Highlights
Usage of secondary beams of short-lived radioactive nuclei has enabled studies of nuclei near or beyond the limits of nuclear stability
The novelty of the present work is that, due to the small number of nucleons involved and the subsequently large deformation, an internal collective rotation appears which is inseparable from the usual internal motion even in the ground states of these nuclei, i.e., for such nuclei the adiabatic approximation is not valid
The experimental study of heavy and superheavy hydrogen isotopes is very interesting for several reasons:
Summary
Usage of secondary beams of short-lived radioactive nuclei has enabled studies of nuclei near or beyond the limits of nuclear stability. The experimental study of heavy and superheavy hydrogen isotopes is very interesting for several reasons: They are the closest to pure neutron nuclei and their study can provide information on neutron matter They are the simplest nuclear systems and their treatment could be relatively simple. Characteristic points of these polyhedra, e.g., vertices or center of faces, precisely form the angles cos-1m/ ( 1) for all and m with respect to a common quantization axis for all equilibrium polyhedra employed This property of the above equilibrium polyhedra, in the framework of the Isomorphic Shell Model, permits the assignment of quantum states to their vertices standing as average positions of nucleons [19,20,21]. For the nuclei examined here, namely 4-7H, a new degree of freedom appears due to their small number of nucleons and the resulting very large deformation [26,27] which lead to an adiabatic approximation non-validity
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