Three-boson relativistic bound states with zero-range interaction

Abstract

For the zero-range interaction providing a given mass M_2 of the two-body bound state, the mass M_3 of the relativistic three-boson state is calculated. We have found that the three-body system exists only when M_2 is greater than a critical value M_c approximately 1.43 m (m is the constituent mass). For M_2=M_c the mass M_3 turns into zero and for M_2<M_c there is no solution with real value of M_3.

7 pages, 4 figures

References in corpus (2)

• Regularized zero-range model and an application to the triton and the hypertriton
• Correlation induced collapse of many-body systems with zero-range potentials

Cited by in corpus (17)

• Efimov Physics: a review
• Two-fermion relativistic bound states in Light-Front Dynamics
• Manifestation of three-body forces in three-body Bethe-Salpeter and light-front equations
• Projecting the Bethe-Salpeter Equation onto the Light-Front and back: A Short Review
• Final state interaction in $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ with $K\pi$ I=1/2 and 3/2 channels
• Solving the three-body bound-state Bethe-Salpeter equation in Minkowski space
• Three-body bound states with zero-range interaction in the Bethe-Salpeter approach
• A three-dimensional momentum-space calculation of three-body bound state in a relativistic Faddeev scheme
• Light-front Nambu--Jona-Lasinio model at finite temperature and density
• Three-boson bound states in Minkowski space with contact interactions
• Proton image and momentum distributions from light-front dynamics
• Origin of three-body resonances
• Proton quark distributions from a light-front Faddeev-Bethe-Salpeter approach
• Relativistic descriptions of few-body systems
• Three-boson stability for boosted interactions towards the zero-range limit
• Three-Fermion Bound States on the Light Front
• Three-body forces in Bethe-Salpeter and light-front equations