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Range corrections for two-neutron halo nuclei in effective theory

2009/11/30 by David L. Canham, H.‐W. Hammer, H. -W. Hammer · 41 citations
Physics and Astronomy · #Effective field theory #Few-body systems #Halo #Halo nucleus #Neutron #Nuclear Physics and Applications #Nuclear physics #Nuclear physics research studies #Nucleon #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Range (aeronautics) #nucl-th

paper · pdf · doi:10.1016/j.nuclphysa.2010.02.014

published in Nuclear Physics A 836(3-4), 275-292 (Elsevier BV) · 19 pages, 4 eps figures, revtex4, final version to appear in Nucl. Phys. A

arxiv created 2010/02/25 · openalex publication_date 2010/03/09 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

Abstract

The range corrections to the universal properties and structure of two-neutron halo nuclei are investigated within an effective quantum mechanics framework. Treating the nucleus as an effective three-body system, we make a systematic improvement upon previous calculations by calculating the linear range corrections at next-to-leading order. Since the effective ranges for the neutron-core interactions are not known, we estimate the effective range to be set by the inverse of the pion mass. We investigate the possibility of excited Efimov states in two-neutron halo nuclei and calculate their mean square radii to next-to-leading order. We find that the effective range corrections are generally small and the leading order predictions are very robust.

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