Efimov physics with $1/2$ spin-isospin fermions

Abstract

The structure of few-fermion systems having $1/2$ spin-isospin symmetry is studied using potential models. The strength and range of the two-body potentials are fixed to describe low energy observables in the angular momentum $L=0$ state and spin $S=0,1$ channels of the two-body system. Successively the strength of the potentials are varied in order to explore energy regions in which the two-body scattering lengths are close to the unitary limit. This study is motivated by the fact that in the nuclear system the singlet and triplet scattering lengths are both large with respect to the range of the interaction. Accordingly we expect evidence of universal behavior in the three- and four-nucleon systems that can be observed from the study of correlations between observables. In particular we concentrate in the behavior of the first excited state of the three-nucleon system as the system moves away from the unitary limit. We also analyze the dependence on the range of the three-body force of some low-energy observables in the three- and four-nucleon systems.

12 pages, submitted to the special issue weakly bound exotic nuclei on Few-Body Systems

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• Chiral effective field theory and nuclear forces
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Range Corrections to Three-Body Observables near a Feshbach Resonance
• Energy spectra of small bosonic clusters having a large two-body scattering length
• $N$-boson spectrum from a Discrete Scale Invariance
• More on the infrared renormalization group limit cycle in QCD
• Pion-mass dependence of three-nucleon observables
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Cited by in corpus (15)

• Nuclear effective field theory: status and perspectives
• Nuclear Physics Around the Unitarity Limit
• Essential elements for nuclear binding
• Correlations imposed by the unitary limit between few-nucleon systems, nuclear matter and neutron stars
• Efimov Physics and Connections to Nuclear Physics
• The Triton Charge Radius to Next-to-next-to-leading order in Pionless Effective Field Theory
• Two- and three-nucleon contact interactions and ground-state energies of light- and medium-mass nuclei
• Embedding nuclear physics inside the unitary window
• Implications of Efimov physics for the description of three and four nucleons in chiral effective field theory
• Three-nucleon bound states and the Wigner-SU(4) limit
• A Comprehensive Study of the Three- and Four-Neutron Systems at Low Energies
• Matching universal behavior with potential models
• A Consistency Test of EFT Power Countings from Residual Cutoff Dependence
• From few to many bosons inside the unitary window: a transition between universal to non-universal behavior
• What Can Possibly Go Wrong?