40
3 Efimov’s Universal Three-Body Effect
On comparing this with the expression for the scattering length in this model, we
find
a = −
2π
2
λ
β 4
1 −
λπ
2
β 3
−1
In order to have infinite scattering length, λπ
2
/β
3
= 1, which is precisely the
value that we get for α = 0.
This completes our discussion on the investigations taken up immediately after
Efimov’s observation of the existence of an effective long-range attractive three-body
force and its possible impact on the physical phenomena observed in three-body
systems. The detailed systematic studies carried out in different areas in nuclear
physics demonstrating the experimental evidence of Efimov effect will be discussed
in the subsequent chapter.
3 Efimov’s Universal Three-Body Effect
On comparing this with the expression for the scattering length in this model, we
find
a = −
2π
2
λ
β 4
1 −
λπ
2
β 3
−1
In order to have infinite scattering length, λπ
2
/β
3
= 1, which is precisely the
value that we get for α = 0.
This completes our discussion on the investigations taken up immediately after
Efimov’s observation of the existence of an effective long-range attractive three-body
force and its possible impact on the physical phenomena observed in three-body
systems. The detailed systematic studies carried out in different areas in nuclear
physics demonstrating the experimental evidence of Efimov effect will be discussed
in the subsequent chapter.