In this paper, we applied our sound wave theory to the assembly of helium stom to be considered the rigid sphere.
The energy of an exciton (sound quanta) has been calculated for interaction potential used by de Boer to calculate the second virial coefficient of helium at low temperature.
On the assumption that a helium stom is a rigid sphere of diameter r
0=1.845×10
-8cm and only 7% of total number of atom degenerate to state of k=0 but remained atoms distribute in the region of 0<k≤q
m in the momentum space, in the ground state, we could get the energy form of raton
E(q)=Δ+h
2/2μ(q-q
0)
2in good agreement with Landau's result as follows.
our theoretic value Landau's value
2mΔ/h
2 1.5×10
16cm
-2 1.6×10
16cm
-2m/μ 1.3 1.3
q
0 1.78×10
8cm
-1 1.95×10
8cm
-1C 1.83×10
4cm/sec 2.3×10
4cm/sec (experimental value)
where C is the velocity of sound, and m is the mass of H
4e atom.
抄録全体を表示