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

Kenichi Yoshida, Kouichi Hagino

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


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.

Original languageEnglish
Article number064311
JournalPhysical Review C - Nuclear Physics
Issue number6
Publication statusPublished - 2005 Dec
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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