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> Matter And Antimatter, Conservation law for matter + antimatter
mathman
Posted: Jul 4 2010, 11:13 PM


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Is there a conservation law for matter (considered as +1 for each particle) plus antimatter (considered as -1 for each particle)?

Particular questions, where mcount for a system is defined as the number of matter particles - number of antimatter particles.

!) At the time of the big bang was the mcount of the universe 0?

2) In any particle reaction can the mcount change? If so, can you give an example?

3) (Follow up) If the answer to 1) is yes and the answer to 2) is no, where did the antimatter particles go?
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rpenner
Posted: Jul 5 2010, 02:02 AM


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There does seem to be such a law in fundamental interactions, provided you don't try to assign a non-zero number to gauge bosons.

Then all fundmental interactions look like one of the following:
  • matter in, matter out, gauge boson in or out
  • antimatter in, antimatter out, gauge boson in or out
  • matter in, antimatter in, gauge boson out
  • matter out, antimatter out, gauge boson in
  • gauge boson in or our times 3 or 4

Various theories exist about why there is matter imbalance, but they will all seem to allow antimatter to convert to matter and do so preferentially, thus new laws of fundamental interactions would seem to be needed.

This post has been edited by rpenner on Jul 5 2010, 02:05 AM


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mathman
Posted: Jul 5 2010, 03:00 PM


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There may be something missing from your list. For example neutron decay.
neutron -> proton + electron + anitneutrino.
Here the neutron and proton are both matter (3 quarks), while the electron and antineutrino balance.

My guess to keep the universal count in balance is to call the electron antimatter with the neutrino matter. When you do this the matter question becomes how did the antiprotons end up as electrons?

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rpenner
Posted: Jul 5 2010, 04:18 PM


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Neutron decay is not fundamental. It is composed of two of these fundamental interactions with gauge bosons.

down quark (mattter) in , up quark (matter) out , W- boson out
+
electron (matter) out, antineutrino (antimatter) out, W- boson in

Thus a neutron (udd) becomes a proton (uud) and a matter-antimatter couple comes into existence.


This has been studied by physicists under names like "Conservation of Baryon Number" and "Conservation of Lepton Number" where your quantity is
3 B + L, and so is conserved if the quantities physicists consider are conserved.

This post has been edited by rpenner on Jul 5 2010, 04:19 PM


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mathman
Posted: Jul 5 2010, 07:26 PM


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Is it possible that the lepton pair that comes out have its identities reversed? Could it be electron (antimatter) and neutrino (matter)? Is there anything in the standard model which forces the electron to be labeled matter?
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rpenner
Posted: Jul 5 2010, 09:28 PM


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Nothing in the standard model framework requires electrons and the quarks in a proton to both be on the same side of the matter-antimatter fence. Presumable a GUT might have something to say here, but most of the naive GUTs have been rejected experimentally now, and the fancy ones still lack experimental support.


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mathman
Posted: Jul 6 2010, 07:24 PM


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My speculation: conservation of matter + antimatter together with conservation of charge implies electrons are antimatter. Throw in enough antineutrinos to keep the overall blanace.
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NymphaeaAlba
Posted: Jul 17 2010, 03:00 AM


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This could have already been previously posted but I couldn't find it in the history.

N/A

Evidence for an Anomalous like-sign Dimuon Charge Asymmetry
QUOTE
Physicists at the Fermi National Accelerator Laboratory are reporting that they have discovered a new clue that could help unravel one of the biggest mysteries of cosmology: why the universe is composed of matter and not its evil-twin opposite, antimatter. If confirmed, the finding portends fundamental discoveries at the new Large Hadron Collider outside Geneva, as well as a possible explanation for our own existence.

In a mathematically perfect universe, we would be less than dead; we would never have existed. According to the basic precepts of Einsteinian relativity and quantum mechanics, equal amounts of matter and antimatter should have been created in the Big Bang and then immediately annihilated each other in a blaze of lethal energy, leaving a big fat goose egg with which to make stars, galaxies and us. And yet we exist, and physicists (among others) would dearly like to know why.

Sifting data from collisions of protons and antiprotons at Fermilab’s Tevatron, which until last winter was the most powerful particle accelerator in the world, the team, known as the DZero collaboration, found that the fireballs produced pairs of the particles known as muons, which are sort of fat electrons, slightly more often than they produced pairs of anti-muons. So the miniature universe inside the accelerator went from being neutral to being about 1 percent more matter than antimatter.

“This result may provide an important input for explaining the matter dominance in our universe,” Guennadi Borissov, a co-leader of the study from Lancaster University, in England, said in a talk Friday at Fermilab, in Batavia, Ill. Over the weekend, word spread quickly among physicists. Maria Spiropulu of CERN and the California Institute of Technology called the results “very impressive and inexplicable.”

The results have now been posted on the Internet and submitted to the Physical Review.

It was Andrei Sakharov, the Russian dissident and physicist, who first provided a recipe for how matter could prevail over antimatter in the early universe. Among his conditions was that there be a slight difference in the properties of particles and antiparticles known technically as CP violation. In effect, when the charges and spins of particles are reversed, they should behave slightly differently. Over the years, physicists have discovered a few examples of CP violation in rare reactions between subatomic particles that tilt slightly in favor of matter over antimatter, but “not enough to explain our existence,” in the words of Gustaaf Brooijmans of Columbia, who is a member of the DZero team.

The new effect hinges on the behavior of particularly strange particles called neutral B-mesons, which are famous for not being able to make up their minds. They oscillate back and forth trillions of times a second between their regular state and their antimatter state. As it happens, the mesons, created in the proton-antiproton collisions, seem to go from their antimatter state to their matter state more rapidly than they go the other way around, leading to an eventual preponderance of matter over antimatter of about 1 percent, when they decay to muons.

Whether this is enough to explain our existence is a question that cannot be answered until the cause of the still-mysterious behavior of the B-mesons is directly observed, said Dr. Brooijmans, who called the situation “fairly encouraging.”

The observed preponderance is about 50 times what is predicted by the Standard Model, the suite of theories that has ruled particle physics for a generation, meaning that whatever is causing the B-meson to act this way is “new physics” that physicists have been yearning for almost as long.

Dr. Brooijmans said that the most likely explanations were some new particle not predicted by the Standard Model or some new kind of interaction between particles. Luckily, he said, “this is something we should be able to poke at with the Large Hadron Collider.”

Neal Weiner of New York University said, “If this holds up, the L.H.C. is going to be producing some fantastic results.”

Nevertheless, physicists will be holding their breath until the results are confirmed by other experiments.

Joe Lykken, a theorist at Fermilab, said, “So I would not say that this announcement is the equivalent of seeing the face of God, but it might turn out to be the toe of God.”
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Guest
Posted: Jul 17 2010, 03:05 AM


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So this is the "toe" everyone has been looking for? dry.gif
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