Stability of Three-Body Bound States on the Light Front

Beyer, Michael; Mattiello, S.; Frederico, T.; Weber, H.J.

doi:10.1007/s00601-003-0014-2

Cited by 8 publications

(18 citation statements)

References 14 publications

(32 reference statements)

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“…(1) makes t(M 2 ) finite [3,4,9,10]. However, in order to investigate the three-body bound state equation even if no two-body bound state exists, we use in the integral (2) an invariant cut-off Λ [12]. The requirement is that the mass of the virtual two-body subsystem is smaller than the cut-off, i.e.…”

Section: Isolated Casementioning

confidence: 99%

The Stability of the Relativistic Three-Body System and In-Medium Equations

Mattiello

2004

Few-Body-Systems

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Abstract. We present a relativistic three-body equation to study the stability of the isolated three-body system and the correlations in a medium of finite temperatures and densities. Relativity is implemented utilizing the light front form. Using a zero-range force we find the relativistic analog of the Thomas collapse and investigate the possibility that the nucleon exists as a Borromean system. Within a systematic Dyson equation approach we calculate the three-body Mott transition and the critical temperature of the color-superconducting phase.

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Section: Isolated Casementioning

confidence: 99%

The Stability of the Relativistic Three-Body System and In-Medium Equations

Mattiello

2004

Few-Body-Systems

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“…This is the relativistic analog of the Thomas collapse [13] and is known to occur for the three-boson bound state with a similar zero-range interaction, see e.g. [15,21]. This critical coupling corresponds to a critical value of two-fermion mass M c 2B ≈ 1.42m.…”

Section: Resultsmentioning

confidence: 71%

“…We briefly review the basic ingredients of the two-body equations on the light front given previously in [1,8,15]. For a zero-range interaction the equation represented by Fig.…”

Section: The Two-body Problemmentioning

confidence: 99%

Three-fermion bound states on the light front

Mattiello

Strauß

2011

Nuclear Physics A

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We investigate the stability of the relativistic three-fermion system with a zero-range force in the light front form. In particular, introducing an invariant cut-off, we study the dependence of the bound state on the coupling strength also for cases where the two-fermion system is unbound. The relativistic Thomas collapse is discussed by solving the fully coupled integral equation system. Furthermore, we explicitly investigate the ground state mass of the three-fermion system and compare to previous simplified calculations.

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“…The LF bound state equation for the valence wave function in LO and NLO will be obtained. Previous works [7,8,9,10] were limited only to the LO kernel.…”

Section: Introductionmentioning

confidence: 99%

Next-to-leading order light-front three-body dynamics

Frederico¹

2009

Proceedings of LIGHT CONE 2008 Relativistic Nuclear and Particle Physics — PoS(LC2008)

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The quasi-potential approach is used to project a four-dimensional field-theoretical model of a three-particle system to the light-front (LF) valence sector. The starting point is the Bethe-Salpeter equation (BSE) for three particles in the ladder approximation. The projection technique allows to eliminate three-body reducible diagrams from the kernel of the LF integral equation for the valence wave function. We construct the next-to-leading order contribution to the kernel of the LF three-body integral equation. We exemplify the method for a three-boson system with a contact interaction.

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Stability of Three-Body Bound States on the Light Front

Cited by 8 publications

References 14 publications

The Stability of the Relativistic Three-Body System and In-Medium Equations

The Stability of the Relativistic Three-Body System and In-Medium Equations

Three-fermion bound states on the light front

Next-to-leading order light-front three-body dynamics

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