000908887 001__ 908887
000908887 003__ SzGeCERN
000908887 005__ 20060612114351.0
000908887 041__ $$aeng
000908887 100__ $$aSitnikov, G V
000908887 245__ $$aQuantum-mechanical and semiclassical study of the collinear three- body Coulomb problem$$bresonances
000908887 260__ $$c2005
000908887 520__ $$aThis paper continues a quantum-mechanical (QM) and semiclassical (SC) study of the collinear three-body Coulomb problem "O. I. Tolstikhin and C. Namba, 70, 062721 (2004)", extending it to resonances. Our QM treatment is based on the theory of Siegert pseudostates (SPS) implemented in hyperspherical coordinates by means of the slow/smooth variable discretization method. A consistent formulation of this approach for arbitrary dimension of configuration space and number of open channels is given. Not only resonance energy and total width, but also partial widths are defined in terms of the SPS; for the cases of one and two open channels, they are expressed in terms of the SPS eigenvalues only. The SC results are obtained in the leading- order approximation from the asymptotic solution of the problem for h to 0, where h is a dimensionless parameter that depends only on the masses of particles, varies in the interval 0<or=h<or=1, and has the meaning of an effective Planck's constant for the motion in hyperradius. It is shown that resonance widths as functions of 1/h oscillate with an exponentially decaying amplitude and almost constant period. The SC theory qualitatively explains such a behavior as a manifestation of interference effects in the nonadiabatic process of decay of the resonance state and provides surprisingly good quantitative results even for systems with h~1.
000908887 595__ $$aSIS INSP2005
000908887 595__ $$i8344380
000908887 65017 $$2SzGeCERN$$aOther Fields of Physics
000908887 6531_ $$9INSPEC$$aSiegert pseudostates eigenvalues
000908887 6531_ $$9INSPEC$$aasymptotic solution
000908887 6531_ $$9INSPEC$$acollinear three body Coulomb problem
000908887 6531_ $$9INSPEC$$aconfiguration space
000908887 6531_ $$9INSPEC$$aeffective Plancks constant
000908887 6531_ $$9INSPEC$$aexponentially decaying amplitude
000908887 6531_ $$9INSPEC$$ahyperradius
000908887 6531_ $$9INSPEC$$ahyperspherical coordinates
000908887 6531_ $$9INSPEC$$ainterference effects
000908887 6531_ $$9INSPEC$$aleading order approximation
000908887 6531_ $$9INSPEC$$anonadiabatic process
000908887 6531_ $$9INSPEC$$aopen channels
000908887 6531_ $$9INSPEC$$aparticle masses
000908887 6531_ $$9INSPEC$$aquantum mechanical study
000908887 6531_ $$9INSPEC$$aresonance energy
000908887 6531_ $$9INSPEC$$aresonance widths
000908887 6531_ $$9INSPEC$$asemiclassical theory
000908887 6531_ $$9INSPEC$$aslow variable discretization method
000908887 6531_ $$9INSPEC$$asmooth variable discretization method
000908887 690C_ $$aARTICLE
000908887 695__ $$9INSPEC$$aN-body-problems
000908887 695__ $$9INSPEC$$aSchrodinger-equation
000908887 695__ $$9INSPEC$$aresonant-states
000908887 700__ $$aTolstikhin, O I
000908887 773__ $$a10.1103/PhysRevA.71.022708$$c22708-1-12$$n2$$pPhys. Rev. A$$v71$$y2005
000908887 901__ $$uMoscow Inst of Phys & Technol, Dolgoprudnyi, Russia
000908887 916__ $$sn$$w200552
000908887 960__ $$a13
000908887 961__ $$c20071119$$h1301$$lCER01$$x20051121
000908887 963__ $$aPUBLIC
000908887 970__ $$a002578807CER
000908887 980__ $$aARTICLE