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.
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.
Three-body bound states with zero-range interaction in the Bethe-Salpeter approach / Ydrefors, E.; Alvarenga Nogueira, J. H.; Gigante, V.; Frederico, T.; Karmanov, V. A.. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 770:(2017), pp. 131-137. [10.1016/j.physletb.2017.04.035]
Three-body bound states with zero-range interaction in the Bethe-Salpeter approach
Alvarenga Nogueira, J. H.;
2017
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
