ΛΛ<mml:mspace width="0.28em"/><mml:mspace width="0.28em"/><mml:mspace width="0.28em"/><mml:mspace width="1.0pt"/>4H in halo effective field theory

2013/10/31 by Shung-Ichi Ando, Ghil-Seok Yang, Yongseok Oh
Chemistry · Physics and Astronomy · #Atomic physics #Chemistry #Cold Atom Physics and Bose-Einstein Condensates #Crystallography #Energy (signal processing) #Excited state #High-Energy Particle Collisions Research #Lambda #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Singlet state #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevc.89.014318

published as Phys. Rev. C 89, 014318 (2014) · 11 pages, 10 figures, REVTeX, to appear in Phys. Rev. C

arxiv created 2014/01/12 · openalex publication_date 2014/01/23 · arxiv updated 2014/01/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The _\ensuremathΛ\ensuremathΛ^\phantom\rule0.28em0ex\phantom\rule0.28em0ex\phantom\rule0.28em0ex\phantom\rule1.0pt0ex4H bound state and the S-wave hypertriton(_\ensuremathΛ^\phantom\rule0.16em0ex3H)-\ensuremathΛ scattering in spin singlet and triplet channels below the hypertriton breakup momentum scale are studied in halo/cluster effective field theory at leading order by treating the _\ensuremathΛ\ensuremathΛ^\phantom\rule0.28em0ex\phantom\rule0.28em0ex\phantom\rule0.28em0ex\phantom\rule1.0pt0ex4H system as a three-cluster (\ensuremathΛ-\ensuremathΛ-deuteron) system. In the spin singlet channel, the amplitude is insensitive to the cutoff parameter \ensuremathΛ_c introduced in the integral equation, and we find that there is no bound state. In this case, the scattering length of the hypertriton-\ensuremathΛ scattering is found to be a₀=16.0\ifmmode±\else\textpm\fi3.0 fm. In the spin triplet channel, however, the amplitude obtained by the coupled integral equations is sensitive to \ensuremathΛ_c, and we introduce the three-body contact interaction g₁(\ensuremathΛ_c). After phenomenologically fixing g₁(\ensuremathΛ_c), we find that the correlation between the two-\ensuremathΛ separation energy B_\ensuremathΛ\ensuremathΛ from the _\ensuremathΛ\ensuremathΛ^\phantom\rule0.28em0ex\phantom\rule0.28em0ex\phantom\rule0.28em0ex\phantom\rule1.0pt0ex4H bound state and the scattering length a_\ensuremathΛ\ensuremathΛ of the S-wave \ensuremathΛ-\ensuremathΛ scattering is significantly sensitive to the value of \ensuremathΛ_c.

Citations

• Soft-core hyperon-nucleon potentials
• Fully Coupled Channel Approach to Doubly Stranges-Shell Hypernuclei
• Exotic hadrons and hadron–hadron interactions in heavy-ion collisions
• Strangeness S=−2 baryon–baryon interactions using chiral effective field theory
• Chiral Dynamics in Nucleons and Nuclei
• Effective range corrections from effective field theory with dibaryon fields and perturbative pions
• Phenomenological Lagrangians
• Baryon–baryon interactions in the SU6 quark model and their applications to light nuclear systems