Weakly bound states with spin-isospin symmetry

Abstract

We discuss weakly bound states of a few-fermion system having spin-isospin symmetry. This corresponds to the nuclear physics case in which the singlet, $a_0$, and triplet, $a_1$, $n-p$ scattering lengths are large with respect to the range of the nuclear interaction. The ratio of the two is about $a_0/a_1\approx -4.31$. This value defines a plane in which $a_0$ and $a_1$ can be varied up to the unitary limit, $1/a_0=0$ and $1/a_1=0$, maintaining its ratio fixed. Using a spin dependant potential model we estimate the three-nucleon binding energy along that plane. This analysis can be considered an extension of the Efimov plot for three bosons to the case of three $1/2$-spin-isospin fermions.

Proceedings of the 21st International Conference on Few-Body Problems in Physics. May 18-22, 2015. Chicago, Illinois, USA

References in corpus (3)

• Universality and scaling in the $N$-body sector of Efimov physics
• Universal nature and finite-range corrections in elastic atom-dimer scattering below the dimer breakup threshold
• $N$-boson spectrum from a Discrete Scale Invariance

Cited by in corpus (1)

• Nuclear Physics Around the Unitarity Limit