dorsal/arxiv
View SchemaRole of low-$l$ component in deformed wave functions near the continuum threshold
| Authors | Kenichi Yoshida, Kouichi Hagino |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0509068 |
| URL | https://arxiv.org/abs/nucl-th/0509068 |
| DOI | 10.1103/PhysRevC.72.064311 |
| Journal | Phys.Rev. C72 (2005) 064311 |
Abstract
The structure of deformed single-particle wave functions in the vicinity of zero energy limit is studied using a schematic model with a quadrupole deformed finite square-well potential. For this purpose, we expand the single-particle wave functions in multipoles and seek for the bound state and the Gamow resonance solutions. We find that, for the $K^{\pi}=0^{+}$ states, where $K$ is the $z$-component of the orbital angular momentum, the probability of each multipole components in the deformed wave function is connected between the negative energy and the positive energy regions asymptotically, although it has a discontinuity around the threshold. This implies that the $K^{\pi}=0^{+}$ resonant level exists physically unless the $l=0$ component is inherently large when extrapolated to the well bound region. The dependence of the multipole components on deformation is also discussed.
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"abstract": "The structure of deformed single-particle wave functions in the vicinity of\nzero energy limit is studied using a schematic model with a quadrupole deformed\nfinite square-well potential. For this purpose, we expand the single-particle\nwave functions in multipoles and seek for the bound state and the Gamow\nresonance solutions. We find that, for the $K^{\\pi}=0^{+}$ states, where $K$ is\nthe $z$-component of the orbital angular momentum, the probability of each\nmultipole components in the deformed wave function is connected between the\nnegative energy and the positive energy regions asymptotically, although it has\na discontinuity around the threshold. This implies that the $K^{\\pi}=0^{+}$\nresonant level exists physically unless the $l=0$ component is inherently large\nwhen extrapolated to the well bound region. The dependence of the multipole\ncomponents on deformation is also discussed.",
"arxiv_id": "nucl-th/0509068",
"authors": [
"Kenichi Yoshida",
"Kouichi Hagino"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.72.064311",
"journal_ref": "Phys.Rev. C72 (2005) 064311",
"title": "Role of low-$l$ component in deformed wave functions near the continuum threshold",
"url": "https://arxiv.org/abs/nucl-th/0509068"
},
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