Role of low-l component in deformed wave functions near the continuum threshold

Kenichi Yoshida and Kouichi Hagino
Phys. Rev. C 72, 064311 – Published 20 December 2005

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 Kπ=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 Kπ=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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  • Received 26 September 2005

DOI:https://doi.org/10.1103/PhysRevC.72.064311

©2005 American Physical Society

Authors & Affiliations

Kenichi Yoshida1 and Kouichi Hagino2

  • 1Department of Physics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan
  • 2Department of Physics, Graduate School of Science, Tohoku University, Sendai 980-8578, Japan

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Issue

Vol. 72, Iss. 6 — December 2005

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