1977
DOI: 10.1088/0305-4616/3/6/011
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A stochastic variational method for few-body systems

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Cited by 184 publications
(158 citation statements)
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“…[105], enabling the first few energy levels of non-strange baryons for a linearly rising potential to be determined, was helped by the assumed link between the quark-antiquark potential in mesons and the quark-quark potential appearing in baryons. Early potential models paved the way to more sophisticated analyses by the introduction of converged variational methods [115][116][117] and the use of Faddeev equations [19,[117][118][119]. Connections to the heavy quark sector of QCD have been established on the one hand via heavy quark effective theory and nonrelativistic QCD, see e.g.…”
Section: The Quark Modelmentioning
confidence: 99%
“…[105], enabling the first few energy levels of non-strange baryons for a linearly rising potential to be determined, was helped by the assumed link between the quark-antiquark potential in mesons and the quark-quark potential appearing in baryons. Early potential models paved the way to more sophisticated analyses by the introduction of converged variational methods [115][116][117] and the use of Faddeev equations [19,[117][118][119]. Connections to the heavy quark sector of QCD have been established on the one hand via heavy quark effective theory and nonrelativistic QCD, see e.g.…”
Section: The Quark Modelmentioning
confidence: 99%
“…Although it involves the solution of a complex eigenvalue problem which causes some difficulties in practice, the CSM has been widely and successfully used to study resonances in atomic and molecular systems [11,12,13] and atomic nuclei [9,10,14,15,16]. The analytical continuation in the coupling constant (ACCC) approach is based on an intuitive idea that a resonant state can be lowered to be bound when the potential becomes more attractive or equivalently the coupling constant stronger, thus a resonant state being related to a series of bound states via an analytical continuation in the coupling constant [17,18,19]. Combined with the cluster model, the ACCC approach has been used to calculate the resonant energies and widths in some light nuclei [20,21].…”
Section: Introductionmentioning
confidence: 99%
“…For two particles in this case it is known [22] that ξ = 1 for a S-wave and ξ = 1 2 for P -waves and higher ones. For a three-body system and the three-body break-up threshold we are not aware of an analytical insight into the value ξ.…”
Section: Resonance Prediction Via Padémentioning
confidence: 95%
“…The interesting idea to predict low lying resonances with the help of Padé approximants from a sequence of (auxiliary) bound state energies has been proposed in [22] and exemplified for instance in [23]. We also applied it to the system of 3n's.…”
Section: Resonance Prediction Via Padémentioning
confidence: 99%