Three-particle system for nonlocal interactions with continuum bound states

Pantis, G.; Fiedeldey, H.; Sprung, D. W. L.

doi:10.1007/bf01408387

Cited by 10 publications

(13 citation statements)

References 10 publications

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“…Pantis, Fiedeldey, and Sprung [4] (PFS) had confirmed the above observations of RST earlier. In addition, using a partly nonlocal potential with an artificial strong repulsion at short distances PFS had demonstrated the appearance of a CBS without having a BSC.…”

Section: Introductionsupporting

confidence: 62%

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Three-body collapse for Tabakin potentials and the Thomas effect

et al. 1992

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A system constituted of three bosons interacting via two-body separable potentials with fixed twoboson binding is known to lead to bound-state collapse in the case where the potential parameters allow two-boson S-matrix poles close to (resonance) and on (continuum bound state) the real momentum axis. The collapse is shown to be accompanied by an increase in the average kinetic energy of the two-body bound state, which signals a decrease in the range of the two-body interaction for fixed two-body binding. The collapse is claimed to be a manifestation of the well-known Thomas effect which leads to a collapse of the three-body system when the range of the two-body interaction goes to zero for a fixed two-body binding. PACS number(s): 21.45.+v, 03.65.Nk

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Section: Introductionsupporting

confidence: 62%

“…The phenomenon of BSC is common to all Tabakin-type potentials. The BSC is not only observed in the case of rank-one potentials, it has also been observed in the case of higher rank potentials [4].…”

Section: Introductionmentioning

confidence: 75%

Three-body collapse for Tabakin potentials and the Thomas effect

et al. 1992

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“…Previous work by Sofianos et al [-1] and Pantis et al [2] has shown that separable potentials of rank 1 and rank 2 which support a continuum bound state (or a resonance pole sufficiently close to the real axis) in the two-particle system, produce unphysical deeply bound states in the three-particle system. With increasing two-body repulsion the collapsed state becomes less bound but it does not go down enough in order to become a physically acceptable ground state.…”

Section: Introductionmentioning

confidence: 98%

Three-particle bound states for partly nonlocal interactions with continuum bound states

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We determine the binding energies of the model triton for two partly nonlocal interactions consisting of a local potential with a strong repulsive core and a nonlocal separable interaction acting only inside the core region, which is responsible for the occurrence of a continuum bound state at very high energies in the total interaction. The ground state of the three-particle system does not collapse in this case as for purely nonlocal interactions. The occurrence of a continuum bound state is therefore only a necessary but not a sufficient condition for such an unphysical collapse in few particle systems.

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“…In the presence of a CBS the binding energy of the usual bound state does not necessarily reflect the strength of the potential. Whenever this potential is used in a multiparticle system it produces stronger binding compared to that produced by an "equivalent" local potential which produces the same negative-energy bound state [7].…”

Section: Introductionmentioning

confidence: 99%

“…A class of similar potentials has been identified later. The use of these potentials in (three-nucleon) 3N and four-nucleon bound-state calculations [7] leads to ground states of unusually large binding of several hundred MeV's in addition to a weakly bound excited state. [7,9,10] One …”

Section: Introductionmentioning

confidence: 99%

Unusually strong attraction in the presence of continuum bound state

et al. 1992

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The result of few-particle ground-state calculation employing a two-particle nonlocal potential supporting a continuum bound state in addition to a negative-energy bound state has occasionally revealed unusually strong attraction in producing a very strongly bound ground state. In the presence of the continuum bound state the difference of phase shift between zero and infinite energies has an extra jump of~as in the presence of an additional bound state. The wave function of the continuum bound state is identical with that of a strongly bound negative-energy state, which leads us to postulate a pseudo bound state in the two-particle system in order to explain the unexpected attraction. The role of the Pauli forbidden states is expected to be similar to these pseudo states. PACS number(s): 21.45.+v, 03.65.Nk

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Three-particle system for nonlocal interactions with continuum bound states

Cited by 10 publications

References 10 publications

Three-body collapse for Tabakin potentials and the Thomas effect

Three-body collapse for Tabakin potentials and the Thomas effect

Three-particle bound states for partly nonlocal interactions with continuum bound states

Unusually strong attraction in the presence of continuum bound state

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