Volume 2 - LENR-CANR

Here / 2 M is the reduced mass of monopole. From last two equations it follows that
g g
the motion of monopole (antimonopole) inside the pair is nonrelativistic:
nonrel rel
2
T , T M c .
max max
g
From formulas (7-9) it also follows that the ratio of kinetic and potential energies in each pair
is very small both in nonrelativistic and relativistic cases
T V r c g , (10)
nonrelat
max / | 0( min)
| ( /
2 2
) / 2 1
relat
max / | 0( min ) | ( /
2
) / 2 1
T V r c g
(11)
This result proves that monopole-antimonopole pair is very stable neutral system.
The total mass of such system in stable bound state
g g
M ( r ) ( p / c ) 4 M ( / 4 r c ) 4M
2 2
min
2
max
2 2
g 2
rminc 2
2
min
2 2
g 2
rminc c
M
M g
2 g
(137)
is very small.
2
g
2 2
In fact such pair is an invisible electro- and magneto- uncharged and extremely light object.
It is possible that such objects have existed (unnoticed) in the universe from the moment of the
Big Bang.
2. Break of monopole-antimonopol pair in a strong magnetic field
In Fig. 4 the structure of the potential hole of monopole-antimonopole bounded pair in the
cases of presence and absence of external locally homogeneous magnetic field H0 is presented.
Under the external magnetic field action the essential deformation of potential hole takes
place. It leads to the possibility of tunneling of one monopole and to the spontaneous brake of
the monopole-antimonopole pair. The probability PH and the life-time H of such tunneling
effect is similar to the probability of nuclear alpha-decay
P 1/ ( v / r ) e ; v p / M ;
2W
H H max min max max g
r2
1
W 2 g
| V0( r) VH ( r) Emin | dr, Emin V0( r1 ) VH
( r1
),
r1
V g / r, V gH
r,
2
o H
0
r1 and r2 are the classical turning points for the potential energy V(r) = V0(r) + VH(r)
488
(12)
(13)