The proton–deuteron scattering length in pionless EFT

Abstract

Abstract. We present a fully perturbative calculation of the quartet-channel protondeuteron scattering length ( 4 a p-d ) up to next-to-next-to-leading order (NNLO) in pionless effective field theory. In particular, we use a framework that consistently extracts the Coulomb-modified effective range function for a screened Coulomb potential in momentum space. We find a natural convergence pattern as we go to higher orders in the EFT expansion. Our NNLO result of (10.9 ± 0.4) fm agrees with older experimental determinations but deviates from more recent calculations, which find values around 14 fm. To resolve this discrepancy, we discuss the scheme dependence of Coulomb subtractions in a three-body system.

Tritonlike Molecules of Three Identical Baryons

“…Some other applications via isobar formalism can be found in Refs [65][66][67][68]. The third useful tool to describe a three-body system called dimer formalism was presented in a series of studies, where a composite field is introduced to describe the two-body subsystem when rescattering with a third particle [69][70][71][72][73][74][75]. The Gauss Expansion Method is another effective tool for few-body systems [76], which has been applied to discuss few-nucleon systems [77] and the DDDK system [78].…”

Tritonlike molecules of three identical baryons

“…Some other applications via isobar formalism can be found in Refs [65][66][67][68]. The third useful tool to describe a three-body system called dimer formalism were present in a series of studies, where a composite field is introduced to describe the two-body subsystem when rescattering with a third particle [69][70][71][72][73][74][75]. The Gauss Expansion Method is another effective tool for few-body system [76], which has been applied to discuss few-nucleon systems [77], and DDDK system [78].…”

Trimeson bound state BBB* via a delocalized π bond

“…The isobar familism has also been applied to discuss three-body systems, such as the strange dibaryon resonance in the KNN − πσN system [51], the effect of the ∆(1236) isobar on the three nucleon bound states [52], and other systems [41,[53][54][55]. The dimer familism is another approximation method for a three-body system where a composite field is intoduced to describe its two-body subsystem when rescattering with a third particle, which has been applied to the three-hadron systems [56][57][58][59]. Recently, a series of studies [60][61][62] of a three-particle system in a finite volume via the dimer field have be proposed to gain a insights about a three-body system in a discretized space such as used in lattice QCD.…”