Effective Field Theory and the Gamow Shell Model: The 6He Halo Nucleus

J. Rotureau, Ubirajara Van Kolck

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We combine halo/cluster effective field theory (H/CEFT) and the Gamow shell model (GSM) to describe the 0+ ground state of 6He as a three-body halo system. We use two-body interactions for the neutron-alpha particle and two-neutron pairs obtained from H/CEFT at leading order, with parameters determined from scattering in the p3/2 and s0 channels, respectively. The three-body dynamics of the system is solved using the GSM formalism, where the continuum states are incorporated in the shell model valence space. We find that in the absence of three-body forces the system collapses, since the binding energy of the ground state diverges as cutoffs are increased. We show that addition at leading order of a three-body force with a single parameter is sufficient for proper renormalization and to fix the binding energy to its experimental value.

Original languageEnglish (US)
Pages (from-to)725-735
Number of pages11
JournalFew-Body Systems
Volume54
Issue number5-6
DOIs
StatePublished - 2013

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halos
nuclei
binding energy
neutrons
ground state
fixing
alpha particles
cut-off
formalism
continuums
valence
scattering
interactions

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Effective Field Theory and the Gamow Shell Model : The 6He Halo Nucleus. / Rotureau, J.; Van Kolck, Ubirajara.

In: Few-Body Systems, Vol. 54, No. 5-6, 2013, p. 725-735.

Research output: Contribution to journalArticle

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