TY - JOUR

T1 - Role of low-l component in deformed wave functions near the continuum threshold

AU - Yoshida, Kenichi

AU - Hagino, Kouichi

N1 - Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.

PY - 2005/12

Y1 - 2005/12

N2 - 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.

AB - 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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U2 - 10.1103/PhysRevC.72.064311

DO - 10.1103/PhysRevC.72.064311

M3 - Article

AN - SCOPUS:33244482442

VL - 72

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 6

M1 - 064311

ER -