Scales, Universality and Finite-Range Correction in Three-body Systems.

Autor: Tusnski, D., Yamashita, M., Frederico, T., Tomio, L.
Předmět:
Zdroj: Few-Body Systems; May2013, Vol. 54 Issue 5-6, p551-558, 8p
Abstrakt: The scale invariance manifested by the weakly-bound Efimov states implies that all the Efimov spectrum can be merged in a single scaling function. By considering this scaling function, the ratio between two consecutive energy levels, $${E_3^{\rm (N+1)}}$$ and $${E_3^{\rm (N)}}$$ , can be obtained from a two-body low-energy observable (usually the scattering length a), given in units of the three-body energy level N. The zero-ranged scaling function is improved by incorporating finite range corrections in first order of r/ a ( r is the potential effective range). The critical condition for three-identical bosons in s-wave, when the excited $${E_3^{\rm (N+1)}}$$ state disappears in the 2 + 1 threshold, is given by $${\sqrt{E_2/E_3^{\rm (N)}} \approx 0.38+0.12 ({r_0}/{a})}$$ . [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index