Coupled adiabatic approximation in the three-body problem

Ballot, J. L.; Ripelle, M. Fabre de la; Levinger, J. S.

doi:10.1103/physrevc.26.2301

Cited by 45 publications

(31 citation statements)

References 25 publications

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“…For that reason, the size of eigenvalue matrix should be truncated at a suitable dimension by looking at gain and loss. In the adiabatic hyperspherical harmonic approximation, the hyperangular motion is separated adiabatically from the hyperradial motion 29, 30. One can diagonalize the angular Hamiltonian at every fixed hyperradial r for obtaining adiabatic potential curves 31, 32: …”

Section: Direct Solution Of the Coupled Hyperradial Schrödinger Equatmentioning

confidence: 99%

Bound state calculations for some three‐body electronic and muonic atomic systems with Fues‐Kratzer–type potential

Yalçın

2004

Int J of Quantum Chemistry

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Section: Direct Solution Of the Coupled Hyperradial Schrödinger Equatmentioning

confidence: 99%

Bound state calculations for some three‐body electronic and muonic atomic systems with Fues‐Kratzer–type potential

Yalçın

2004

Int J of Quantum Chemistry

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“…(6)) is solved by extreme adiabatic approximation [13], which gives slight overbinding. Our results of PHEM and HHEM are presented in figure 1 as a function of interaction strength a sc .…”

Section: Numerical Resultsmentioning

confidence: 99%

Quality of potential harmonics expansion method for dilute Bose-Einstein condensate

Kundu

Chakrabarti²

2007

Pramana - J Phys

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We present and examine an approximate but ab initio many-body approach, viz., potential harmonics expansion method (PHEM), which includes two-body correlations for dilute Bose-Einstein condensates. Comparing the total ground state energy for three trapped interacting bosons calculated in PHEM with the exact energy, the new method is shown to be very good in the low density limit which is necessary for achieving Bose-Einstein condensation experimentally.

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“…Wave function (11) belongs to the oscillator shell with the number of oscillator quanta N os = 2n ρ + K. It is convenient to numerate the oscillator shells by N sh ( = 0, 1, 2, . .…”

Section: A Hyperspherical Coordinates and Basismentioning

confidence: 99%

Two- and three-cluster decays of light nuclei within a hyperspherical harmonics approach

2018

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We consider a set of three-cluster systems ( 4 He, 7 Li, 7 Be, 8 Be, 10 Be) within a microscopic model which involves the hyperspherical harmonics to represent intercluster motion. We selected such three-cluster systems which have at least one binary channel. Our aim is to study whether the hyperspherical harmonics are able and under what conditions to describe two-body channel(s) (nondemocratic motion) or they are suitable for describing three-cluster continuum only (democratic motion). It is demonstrated that a rather restricted number of the hyperspherical harmonics allows us to describe bound states and scattering states in two-body continuum for a three-cluster system.

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Coupled adiabatic approximation in the three-body problem

Cited by 45 publications

References 25 publications

Bound state calculations for some three‐body electronic and muonic atomic systems with Fues‐Kratzer–type potential

Bound state calculations for some three‐body electronic and muonic atomic systems with Fues‐Kratzer–type potential

Quality of potential harmonics expansion method for dilute Bose-Einstein condensate

Two- and three-cluster decays of light nuclei within a hyperspherical harmonics approach

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