From correlations to universal behavior in few-nucleon systems

¹ Istituto Nazionale di Fisica Nucleare, Sezione di Pisa, Largo B. Pontecorvo, 56127 Pisa, Italy
² Université Côte d’Azur, CNRS, Institut de Physique de Nice, 1361 route des Lucioles, 06560 Valbonne, France
³ Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento, I-73100 Lecce, Italy

^* e-mail: kievsky@pi.infn.it
^** e-mail: mario.gattobigio@univ-cotedazur.fr
^*** e-mail: girlanda@le.infn.it
^**** e-mail: viviani@pi.infn.it

Published online: 8 December 2023

Abstract

The deuteron, the only two-nucleon bound state, has a shallow character: its binding energy is strictly related to zero-energy parameters, the triplet scattering length ³a_np and triplet effective range ³r_np. This fact places the deuteron inside the universal window, a region in which systems having a large value of the two- body scattering length are located. When the scattering length is large compared to the interaction range certain types of correlations can be observed. Increasing the number of nucleons these correlations are responsible for the particular spectrum of light nuclei as for example the lack of excited states in three- and four-nucleon systems. In this presentation some constraints imposed by the large values of the singlet and triplet scattering lengths in the spectrum of light nuclear systems are discussed.