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

Abstract

We combine Halo/Cluster Effective Field Theory (H/CEFT) and the Gamow Shell Model (GSM) to describe the $0^{+}$ ground state of ${}^6\mathrm{He}$ 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 p${}_{3/2}$ and s${}_0$ 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.

References in corpus (10)

• Shell Model in the Complex Energy Plane
• alpha-alpha Scattering in Halo Effective Field Theory
• Low-momentum interactions with smooth cutoffs
• Universal properties and structure of halo nuclei
• Charge radii and neutron correlations in helium halo nuclei
• Radiative Neutron Capture on Lithium-7
• Renormalization in the Three-body Problem with Resonant P-wave Interactions
• Impossibility of the Efimov effect for p-wave interactions
• Effective Interaction Techniques for the Gamow Shell Model
• Coupled-channel effective field theory and proton-${}^7$Li scattering

Cited by in corpus (25)

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• A Guided Tour of Ab Initio Nuclear Many-Body Theory
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• ${}^6$He nucleus in halo effective field theory
• Effective field theory for proton halo nuclei
• Wavefunction matching for solving quantum many-body problems
• Charge form factors of two-neutron halo nuclei in halo EFT
• Marrying {\it ab initio} calculations and Halo-EFT: the case of ${}^7\mathrm{Li}+n\to {}^8\mathrm{Li}+\gamma$
• Constraining Low-Energy Proton Capture on Beryllium-7 through Charge Radius Measurements
• Dissecting reaction calculations using Halo EFT and ab initio input
• Energy Spectrum of Neutron-Rich Helium Isotopes: Complex Made Simple
• Tunneling Theory for Tunable Open Quantum Systems of Ultracold Atoms in One-Dimensional Traps
• Range corrections in Proton Halo Nuclei
• Effective interactions and operators in no-core shell model
• Effective Field Theory for Two-Body Systems with Shallow S-Wave Resonances
• Three-body systems in physics of cold atoms and halo nuclei
• Charge and Matter Form Factors of Two-Neutron Halo Nuclei in Halo Effective Field Theory at Next-to-leading-order
• Electric structure of shallow D-wave states in Halo EFT
• Few-body universality in the deuteron-alpha system
• Momentum-space probability density of ${}^6$He in Halo Effective Field Theory
• Effective field theory with resonant P-wave interaction
• Finite-Size Effects in Heavy Halo Nuclei from Effective Field Theory
• One- and two-neutron halos in effective field theory
• Halo EFT calculation of charge form factor for two-neutron ${}^6\text{He}$ halo nucleus: two-body resonant P-wave interaction
• Strongly interacting few-fermion systems in a trap