Three-body bound states with zero-range interaction in the Bethe–Salpeter approach
The Bethe–Salpeter equation for three bosons with zero-range interaction is solved for the first time. For comparison the light-front equation is also solved. The input is the two-body scattering length and the outputs are the three-body binding energies, Bethe–Salpeter amplitudes and light-front wa...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2017-07-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S037026931730309X |
| _version_ | 1811193717866889216 |
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| author | E. Ydrefors J.H. Alvarenga Nogueira V. Gigante T. Frederico V.A. Karmanov |
| author_facet | E. Ydrefors J.H. Alvarenga Nogueira V. Gigante T. Frederico V.A. Karmanov |
| author_sort | E. Ydrefors |
| collection | DOAJ |
| description | The Bethe–Salpeter equation for three bosons with zero-range interaction is solved for the first time. For comparison the light-front equation is also solved. The input is the two-body scattering length and the outputs are the three-body binding energies, Bethe–Salpeter amplitudes and light-front wave functions. Three different regimes are analyzed: (i) For weak enough two-body interaction the three-body system is unbound. (ii) For stronger two-body interaction a three-body bound state appears. It provides an interesting example of a deeply bound Borromean system. (iii) For even stronger two-body interaction this state becomes unphysical with a negative mass squared. However, another physical (excited) state appears, found previously in light-front calculations. The Bethe–Salpeter approach implicitly incorporates three-body forces of relativistic origin, which are attractive and increase the binding energy. |
| first_indexed | 2024-04-12T00:13:04Z |
| format | Article |
| id | doaj.art-d00e056d3d8b4036a7855d21030accfd |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-04-12T00:13:04Z |
| publishDate | 2017-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-d00e056d3d8b4036a7855d21030accfd2022-12-22T03:55:54ZengElsevierPhysics Letters B0370-26931873-24452017-07-01770C13113710.1016/j.physletb.2017.04.035Three-body bound states with zero-range interaction in the Bethe–Salpeter approachE. Ydrefors0J.H. Alvarenga Nogueira1V. Gigante2T. Frederico3V.A. Karmanov4Instituto Tecnológico de Aeronáutica, DCTA, 12228-900 São José dos Campos, BrazilInstituto Tecnológico de Aeronáutica, DCTA, 12228-900 São José dos Campos, BrazilLaboratório de Física Teórica e Computacional – LFTC, Universidade Cruzeiro do Sul, 01506-000 São Paulo, BrazilInstituto Tecnológico de Aeronáutica, DCTA, 12228-900 São José dos Campos, BrazilLebedev Physical Institute, Leninsky Prospekt 53, 119991 Moscow, RussiaThe Bethe–Salpeter equation for three bosons with zero-range interaction is solved for the first time. For comparison the light-front equation is also solved. The input is the two-body scattering length and the outputs are the three-body binding energies, Bethe–Salpeter amplitudes and light-front wave functions. Three different regimes are analyzed: (i) For weak enough two-body interaction the three-body system is unbound. (ii) For stronger two-body interaction a three-body bound state appears. It provides an interesting example of a deeply bound Borromean system. (iii) For even stronger two-body interaction this state becomes unphysical with a negative mass squared. However, another physical (excited) state appears, found previously in light-front calculations. The Bethe–Salpeter approach implicitly incorporates three-body forces of relativistic origin, which are attractive and increase the binding energy.http://www.sciencedirect.com/science/article/pii/S037026931730309XBethe–Salpeter equationLight-front dynamicsZero-range interactionRelativistic three-body bound states |
| spellingShingle | E. Ydrefors J.H. Alvarenga Nogueira V. Gigante T. Frederico V.A. Karmanov Three-body bound states with zero-range interaction in the Bethe–Salpeter approach Physics Letters B Bethe–Salpeter equation Light-front dynamics Zero-range interaction Relativistic three-body bound states |
| title | Three-body bound states with zero-range interaction in the Bethe–Salpeter approach |
| title_full | Three-body bound states with zero-range interaction in the Bethe–Salpeter approach |
| title_fullStr | Three-body bound states with zero-range interaction in the Bethe–Salpeter approach |
| title_full_unstemmed | Three-body bound states with zero-range interaction in the Bethe–Salpeter approach |
| title_short | Three-body bound states with zero-range interaction in the Bethe–Salpeter approach |
| title_sort | three body bound states with zero range interaction in the bethe salpeter approach |
| topic | Bethe–Salpeter equation Light-front dynamics Zero-range interaction Relativistic three-body bound states |
| url | http://www.sciencedirect.com/science/article/pii/S037026931730309X |
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