Universality in few-body Systems: from few-atoms to few-nucleons

14th Conference on Theoretical Nuclear Physics in Italy

Kievsky, A.^1 ; Gattobigio, M.^2 ; Garrido, E.^3

Istituto Nazionale di Fisica Nucleare, Largo B. Pontecorvo 3, 56127 Pisa, Italy^1

Université de Nice-Sophia Antipolis, Institut Non-Linéaire de Nice, CNRS, 1361 route des Lucioles, 06560 Valbonne, France^2

Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid, Spain^3

关键词: Few body systems;    Few-nucleon systems;    Potential Model;    Recombination rate;    Three-body systems;    Two-body scattering;    Universal formulas;    Universal properties;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/527/1/012001/pdf
DOI  :  10.1088/1742-6596/527/1/012001

来源: IOP

【 摘 要 】

Some aspects of universal properties are discussed in few-atom as well as in few- nucleon systems. When the two-body scattering length a is large the three-body system presents some peculiar characteristics such as the Efimov effect. In the present contribution, the zerorange theory deduced by V. Efimov is compared to results obtained using potential models. Accordingly range corrections are introduced. These corrections appear as a shift in the variable K*a with K*the three-body parameter. The three-boson spectrum, atom-dimer scattering and the recombination rate at threshold are analyzed using the finite-range theory proposed. In the case of nuclear systems, n-d scattering is discussed using the universal formula derived by Efimov. Furthermore, the spectrum up to N 6 is discussed using the central Volkov potential.