Three-boson relativistic bound states with zero-range two-body interaction

Carbonell, J.

doi:10.1103/physrevc.67.037001

Cited by 38 publications

(83 citation statements)

References 14 publications

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“…Then the 0 + and 2 + states evolve as shown by the solid and open circles, respectively. When the full neutron-neutron interaction is included (last point on each curve), the system similar to 6 He has a bound Borromean 0 + state (with a binding energy close to −1.9 MeV) and a very narrow 2 + three-body resonance with energy 0.34 MeV.…”

Section: A Core With Zero Spinmentioning

confidence: 99%

“…For the system similar to 6 Li shown in the middle part of the figure one of the light particles has the charge of the proton. The neutron-proton interaction is again continuously switched on from zero to full strength.…”

Section: A Core With Zero Spinmentioning

confidence: 99%

“…The spectra obtained for the "simplified" 6 He, 6 Li, and 6 Be nuclei (only a simple p-wave particle-core interaction has been used), indicate where to find the true states. This is seen in table I, where the second column gives the computed energies.…”

Section: A Core With Zero Spinmentioning

confidence: 99%

“…the helium atom [2], three nucleons [3] or three quarks [4]. The modern treatment was boosted by the formulation of the Faddeev equations [5] originally aimed at scattering problems, but also successfully applied for bound states [6,7]. The more recent interest in bound state halo structures and Borromean systems are by now fairly well understood in terms of the basic two-body interactions [8].…”

Section: Introductionmentioning

confidence: 99%

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Origin of three-body resonances

Garrido¹,

Fedorov

Jensen

2005

Eur. Phys. J. A

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We expose the relation between the properties of the three-body continuum states and their two-body subsystems. These properties refer to their bound and virtual states and resonances, all defined as poles of the S-matrix. For one infinitely heavy core and two non-interacting light particles, the complex energies of the three-body poles are the sum of the two two-body complex pole-energies. These generic relations are modified by center-of-mass effects which alone can produce a Borromean system. We show how the three-body states evolve in 6 He, 6 Li, and 6 Be when the nucleon-nucleon interaction is continuously switched on. The schematic model is able to reproduce the main properties in their spectra. Realistic calculations for these nuclei are shown in detail for comparison. The implications of a core with non-zero spin are investigated and illustrated for 17 Ne ( 15 O+p+p). Dimensionless units allow predictions for systems of different scales.

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Section: A Core With Zero Spinmentioning

confidence: 99%

Section: A Core With Zero Spinmentioning

confidence: 99%

Section: A Core With Zero Spinmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Origin of three-body resonances

Garrido¹,

Fedorov

Jensen

2005

Eur. Phys. J. A

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“…In particular, we should mention the application of light-front quantization to describe three-body systems, see e.g. [40][41][42][43][44].…”

Section: Jhep08(2014)135mentioning

confidence: 99%

Final state interaction in D + → K − π + π + with Kπ I = 1/2 and 3/2 channels

Guimaraes

Lourenço

Paula

et al. 2014

J. High Energ. Phys.

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The final state interaction contribution to D + decays is computed for the K − π + π + channel within a light-front relativistic three-body model for the final state interaction. The rescattering process between the kaon and two pions in the decay channel is considered. The off-shell decay amplitude is a solution of a four-dimensional Bethe-Salpeter equation, which is decomposed in a Faddeev form. The projection onto the light-front of the coupled set of integral equations is performed via a quasi-potential approach. The S-wave Kπ interaction is introduced in the resonant isospin 1/2 and the non-resonant isospin 3/2 channels. The numerical solution of the light-front tridimensional inhomogeneous integral equations for the Faddeev components of the decay amplitude is performed perturbatively. The loop-expansion converges fast, and the three-loop contribution can be neglected in respect to the two-loop results for the practical application. The dependence on the model parameters in respect to the input amplitude at the partonic level is exploited and the phase found in the experimental analysis, is fitted with an appropriate choice of the real weights of the isospin components of the partonic amplitude. The data suggests a small mixture of total isospin 5/2 to the dominant 3/2 one. The modulus of the unsymmetrized decay amplitude, which presents a deep valley and a following increase for Kπ masses above 1.5 GeV, is fairly reproduced. This suggests the assignment of the quantum numbers 0 + to the isospin 1/2 K * (1630) resonance.

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Bethe-Salpeter Approach to Three-Body Bound States with Zero-Range Interaction

Ydrefors

Nogueira

Karmanov

et al. 2020

Recent Progress in Few-Body Physics

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The Bethe-Salpeter equation for three scalar bosons, with zero-range interaction, is solved in Minkowski space by direct integration of the four-dimensional integral equation. The singularities occuring in the propagators are treated properly by standard analytical and numerical methods, without relying on any ansatz for the Bethe-Salpeter amplitude. The results for the binding energies and transverse amplitudes are compared with the results computed in Euclidean space. A fair agreement between the calculations is obtained.

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Three-boson relativistic bound states with zero-range two-body interaction

Cited by 38 publications

References 14 publications

Origin of three-body resonances

Origin of three-body resonances

Final state interaction in D + → K − π + π + with Kπ I = 1/2 and 3/2 channels

Bethe-Salpeter Approach to Three-Body Bound States with Zero-Range Interaction

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