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Articles and Publication Physics Theoretical physics A CONCEPT IN SUPPORT OF THE LAW OF PARITY CONSERVATION
A CONCEPT IN
SUPPORT OF THE LAW OF PARITY CONSERVATION
© Igor Mazuk
Contact to the author:
agataz@mail.ru
Theoretical aspects of the
space symmetry problem have been influenced for more than fifty years by the
sensational results of study by Wu [1] who was the first to discover violations
of invariance in b -decomposition of 60C o
polarised nuclei. Immediately after the publication of this paper the above
phenomenon was repeatedly confirmed in similar experiments with different nuclei,
as well as during p - and m -meson decomposition. As a result, Lee and Jang who
had suggested the nonconservation of space parity were awarded the Nobel Prize
in 1957.
Lee gave an interesting
assessment of this phenomenon in his Nobel lecture: ‘In fact, during this
experiment the direction of a circular electric current in a solenoid generating
a polarising magnetic field, together with a direction of a preferential
emission of b -electrons, unambiguously separates the right system of
coordinates from the left one. Thus the parity nonconservation (or, in other
words, noninvariance as related to a specular reflection) may be established without
involving any theoretical considerations’ [2, reverse translation].
After this initial shock and
having accepted the compromise idea of Landau, Lee and Jang on the conservation
of combined parity, the physicists suddenly witnessed another incredible
development: in 1964 Cronin and Fitch experimentally proved the violation of
combined parity during neutral kaons decomposition. In 1980 Cronin and Fitch
were also awarded the Nobel Prize.
Richard Feynman summarised the
situation in the following way: ‘The Nature by 99.99 per cent does not care if
it is left or right, but suddenly one barely noticeable phenomenon stands out
and turns out to be absolutely one-sided’ [3, reverse translation].
But is it really the case? In
fact, Lee, Jang and Wu “without involving any theoretical considerations”
introduced fundamental errors in their treatment of the results of magnetic
field experiments.
Firstly, they failed to account
for equally probable possibility of left- and right-spirality b -particles
emerging during nuclear neutrons decomposition.
Secondly, in their treatment of
experimental results neither of the physically nonequivalent phases of the
investigated process — neutrons decomposition phase and the phase of
hetero-spirality b -particles interaction with the magnetic field of specimen
and solenoid — was broken down and put to separate analysis.
Finally, no explanation was given
to a phenomenon of b -particles partial polarisation.
Our alternative, theoretically
substantiated scenario of this process is as follows.
The dual-component neutrino
theory and Pauli principle allows the nuclear neutrons decomposition reaction to
be presented in the invariant key:
,
where S is the ideal mirror plane,
while indices
for the right spirality and
for the left spirality show the projection of a particle spin on its impulse.
A proton that remains in a
nucleus acquires the spin value opposite to that of the decomposed neutron and,
compensating its equal part, decreases by one the summary spin of the original
nucleus, which has been proved experimentally:
|

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1 60Co=5 |
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1 60Ni=4 |
Now, having focused on the
equally probable possibility of heterospiral b -particles emergence outside of
nuclei, we establish the cause of their predominant distribution precisely against
the magnetic field vector.
Peculiarities of behaviour of
elementary particles with spin are displayed only in the presence of magnetic
field, since in this instance the energy of field interaction included in
Schrödinger equation is directly related to a particle spin via its
magnetic momentum [4]. For example, in case of electrons it results in two
energy values related only to two possible and opposite spin orientations
(P. Zeeman and J. Stark
effects, O. Stern
and W. Gerlach experiments, the phenomenon of electron paramagnetic resonance,
etc.).
It was established [5] that
energies of free electrons in a magnetic field differ depending on their
spin orientation:
and 
where index
denotes the spin orientation with the field, while index
— against the field. The inequality
results in the b -spectrum energy shift away from the field vector
direction. Consequently, a relatively larger number of particles is always
registered on this side. It is exactly this relative asymmetry in the b -particles
distribution that was discovered by Wu.
Soon afterwards a similar
asymmetry in the m - and p -meson decomposition was found at Columbia and
Chicago Universities [6]. Here the emerging muons were decelerated in a carbon
lump after which they decomposed into electrons and neutrino-antineutrino pairs.
When applying to the carbon lump an alternating magnetic field with a period
approximately equal to a muon life the authors discovered that there always
existed a predominant emission of electrons synchronous with magnetic field
oscillations. Obviously, here no account was given for the equally probable
possibility of emerging heterospiral muons followed by electrons, as well as for
naturally asymmetrical distribution of the latter relative to the magnetic field
vector:
;

Cronin and Fitch discovered a
very rare and so far unique type of a neutral long-lived (5·10-8 s)
kaon decomposition [7]:
and 
Either through the CP operation
may be transformed into each other and should be equal provided the composite
parity of both decomposition rates is maintained. However, numerous verifying
experiments showed proportion between the rates resulting in a slight asymmetry
in favour of positrons:

This asymmetry was the main proof
of the composite parity violation. Having inserted spirality indices in the
following relation

we discover that electrons
and positrons are heterospiral and, consequently, will oppositely interact with
the deflecting magnetic field of the test device. Positrons will always be
acquiring (and electrons will always be losing) additional energy from the field
and thus more frequently than electrons be registered by a counter. At the
same time, the π¯/π+
relation should exactly equal 1!
The principle of invariance is
always maintained in the above correlations with the participation of
neutrino-antineutrino pairs, until counting of electrons and positrons after
their interaction with the magnetic field begins. ‘It would be interesting,
noted Jang in his Nobel lecture, to think out a possible link between the parity
nonconservation and the role played in symmetry by electric and magnetic fields’
[8, reverse translation].
Unfortunately, it was not done.
Now, forty years later, the dramatic role played by magnetic field in the fate
of this century’s two sensational ‘discoveries’ has become clear.
The absolute invariance in
microcosm processes is fundamentally determined by the equal presence in the
Nature of similar heterospiral particles (antiparticles) and quants.
Now about the t -Q problem that
introduced the theory on the nonconservation of the space parity. The essence of
this problem lies basically in the statement that
and
mesons are identical in their masses and life. Consequently, it would be
impossible for one of them to have negative parity, while for the other to have
a positive one. Similar difficulties arose after Cronin and Fitch’s group
discovered the forbidden decomposition channel .
It turns out that the solution of
this problem may be approached by a quite logical assumption that the mass of
the third -meson
is virtually transformed into energy, which emerges in the correlation of real
possibilities [9, 10]:
The mass defect in A type
reactions is 145MeV. In the B (a) type reactions the effective mass
is established by the Monte-Carlo method only for two charged particles (
and )
in a three-part decomposition scheme, i. e. without considering the mass of a
neutral pion. At the same time, the maximum of the experimental histogram by
Cronin and Fitch for a two-pion decomposition B (b) type reaction gave the
effective mass value
(theoretical value of a neutral kaon mass ).
It follows that the mass defect in the B type reactions is approximately 137MeV.
Having correlated the mass defect
in the A (145MeV) and B (~137MeV) type reactions with the exact theoretical mass
(134.69MeV) of the third -meson
missing in the reaction we discover that its virtual transformation actually
takes place and, consequently, there is no violation of the parity and energy
conservation laws.
Thus a realistic investigation of
the above processes allows for the rehabilitation of the parity conservation law,
as well as for the removal of obstacles hindering the development of this
fundamental avenue in theoretical physics.
For example, a possibility of
theoretical analysis of hot plasma heterospiral particles retention by high
frequency alternating magnetic field model appears.
Literature
- Wu C. S. et al
.
Phys. Rev., 105, p. 1413, 1957.
Ли Ц.
Слабые взаимодействия и несохранение
четности. — УФН, 66, 1, 1958, с. 89–97.
Фейнман Р.
Характер физических законов. — М.: Наука, 1987,
с. 95.
Астахов А.В., Широков Ю.М.
Квантовая
физика. Т.3 – М.: Наука, 1983, с.56.
Каганов М. И., Цукерник
В. М. Природа
магнетизма. — М.: Наука, 1982, с. 91.
Глесстон С.
Атом, атомное ядро, атомная энергия. — М.: ИЛ,
1961, с. 609.
Эллис Дж.
Очень большое и очень малое. — В сб.:
Фундаментальная структура материи. — М.:
Мир, 1984, с. 228.
Янг Ч.
Законы сохранения четности и другие законы
симметрии. — УФН, 66, 1, 1958, с. 79–87.
Мухин К. Н.
Экспериментальная ядерная физика. Т.
2. — М.: Энергоиздат, 1983, с. 256,
259, 297–299.
Фитч В. Л.
Открытие несохранения комбинированной
четности. — УФН, 135, 2, 1981, с. 191.
The author would welcome the
publication of this article. For copyright inquiries and publication permission
apply directly to:
Mr. Igor Mazuk, Apt. 32, 7
Silayeva St., Sevastopol, Ukraine, P. O. 99029
tel. +380 (692) 572043 (Russian
only)
e-mail: agataz@mail.ru
Publishing date: August 17, 2011
Source: SciTecLibrary.ru
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