LHCb discovers matter-antimatter asymmetry in charm quarks
symmetrymagazine.org
symmetrymagazine.org
T Y Q name
-----|-----|-----|----------
-1/2 -1 -1 electron
-1/2 -1/3 -2/3 antiüp quark
-1/2 1/3 -1/3 down quark
-1/2 1 0 antineutrino
1/2 -1 0 neutrino
1/2 -1/3 1/3 antidown quark
1/2 1/3 2/3 up quark
1/2 1 1 positron
The weak interaction has to preserve these quantum numbers, so for example when a free neutron (up-down-down) turns into a proton (up-up-down) and an electron, as it will do if you leave it alone for about 15 minutes, then one of the down quarks is turning into an up quark and an electron. This preserves electric charge but it does not preserve the underlying quantum numbers, so it requires emitting an antineutrino. [The fact that you need 4 particles total is part of why it takes a long time on the order of minutes; in this case the Feynman diagram vertexes only have three lines going in/out and so creating a 4-particle state requires two of them, in the middle you have a W- boson, (T=-1, Y=0).]And then there are some things which are not present but fit the quantum numbers, for example many grand unified theories predict something which is spectacularly unobserved called “proton decay” where an up (1/2, 1/3) could hypothetically annihilate with a down (-1/2, 1/3) to generate an antiüp (-1/2, -1/3) plus a positron (1/2, 1)—this would manifest as a proton decaying into a neutral pion (up-antiüp) plus a positron, which would presumably be hugely energetically favored (protons have several times the mass of pions and elecron/positron masses are negligible)... this sort of decay does not have a way to happen in the standard model because there is no interim (0, 2/3) particle to sit between the two vertices.
Anyway, the next generations up are basically copies of the same 8 matter particles, with "electron" replaced by "muon" and then "tau", "neutrino" replaced by "mu neutrino" and then "tau neutrino," "down" replaced by "strange" and then "bottom", and "up" replaced by "charm" and then "top". The down and up quarks typically cannot decay into anything without some antidown or antiüp quarks sitting around to annihilate with them, though again, this is not 100% obvious from the table above, as the case of proton decay shows. So that we have observed this with strange and bottom quarks is two out of our four possibilities.
So what this makes very clear is that the CP-violations are not something specific to the (-1/2, 1/3) / (1/2, -1/3) antiparticle pairs that are called (anti-)down, (anti-)strange, (anti-)bottom in the three generations. It is not some sort of physics phenomenon that requires these two signs to be opposite; it has now been observed in the (-1/2, -1/3) / (1/2, 1/3) antiparticle pairs, too. Assuming that the presence in the bottom quark means that this asymmetry crosses generation lines, then we are all but assured that the much harder to measure top quarks would also display the asymmetry, and it is something very fundamental, rather than some as-yet-unappreciated aspect of the coupling of isospin to hypercharge.
When you say "The fact that you need 4 particles total is part of why it takes a long time on the order of minutes...", does it take a long time because there are significantly fewer decays (described by Feynman diagrams?) from a lone neutron that result in a proton, anti-neutrino, and electron than there are decays that end up back at a neutron?
So there are two reasons that a free neutron outside of a nucleus takes so long to become a proton, and you can kind of visualize it like pulling a molecule of air through an air filter or so, the first reason that this particular setup takes so long is that this particular air filter is really thick, and the second reason is that the fan you're using is not very strong.
The “wall being thick” has to do with this intermediate particle, and that’s what I was alluding to above. The wall is thick because you need to create this W- boson. The problem is that this boson has about twice the mass of the neutron itself, call it Bohb because it’s a Big Ol’ Honking Boson. There's just nowhere near the energy in the system to create this thing directly. And in quantum mechanics that is okay because quantum systems can “tunnel” through states that they cannot directly actually occupy: but it generally takes longer and longer the more and more energy you need to borrow, and this is a lot of energy to borrow.
The other thing is the weak blower, and that has to do with what “pressure” or “energy difference” drives the decay. In this case the driver is the mass difference: down-quarks are just intrinsically about 2 MeV heavier than up-quarks and that is enough to cover the 0.5 MeV of an electron and a neutrino., so you have something like 1.5 MeV left over to spread across the universe. By itself that number doesn't mean anything, though—what means something is the ratio of the initial to the final masses, which is something like 939.57 MeV : 938.78 MeV, so the final mass is only 0.08% lighter than the initial mass. The reaction rate goes like some high power—a fifth or sixth power—of this ratio, so when one side has like half the mass of the other side then the reaction happens very very fast because there is so much pressure driving it. But in this case the masses are so close to equal that the reaction takes something like hundreds of times longer than you might otherwise expect from just the thickness of the barrier alone.
These observations have confirmed the pattern of CP violation described in the Standard Model by the so-called Cabibbo-Kobayashi-Maskawa (CKM) mixing matrix, which characterises how quarks of different types transform into each other via weak interactions. The deep origin of the CKM matrix, and the quest for additional sources and manifestations of CP violation, are among the big open questions of particle physics. The discovery of CP violation in the D0 meson is the first evidence of this asymmetry for the charm quark, adding new elements to the exploration of these questions.
> Precision studies of antihydrogen atoms, for example, have shown that their characteristics are identical to hydrogen atoms to beyond the billionth decimal place.
the wording for this is a bit ambiguous, since it’s not clear if the decimal place is for the billionths or if it’s the actual billionth place to the right of the decimal point.
My immediate research only renders that it used to be this in British English
No offense meant but it's usually shown as an example of the "Americans can't count" stereotype: 1,000,000,000 is a thousand millions.
The American naming system uses roots more clearly and doesn't have the weird pointless bundling together of two groups of 3, but it has a bizarre off-by-one issue... and not the usual 0->1 or 1->0 issue, but a 1->2 issue. For consistency, the order ought to be "ones, millions, billions, trillions, quadrillions", so that the prefix on the digit counter indicates the number of factors of 1000 in question, from zero, one, bi=two, tri=three, etc. However, "thousands" get stuck in there wrecking the whole thing up, so where the names say you have 1 group of 1000, you in fact have two, and so on.
It's not an imperial vs. metric sort of thing, it's more an arguing which is the "real" temperature, Fahrenheit or Celsius, when in fact the answer is basically neither because the "real" temperature scale ought to have its 0 at absolute zero, like Kelvin [1] or the lesser-known Rankine [2], which is basically "Kelvin, except the degree is 1 degree Fahrenheit". These are both more "real" because now you can add and subtract temperatures meaningfully, which you can't do with either of Fahrenheit or Celsius. And likewise, neither number system is abstractly all that great. But then, that's part of why we have scientific notation.
[1]: Which I just learned is about to be redefined, as of May 20th, 2019: https://en.wikipedia.org/wiki/Kelvin#2019_redefinition
Unfortunately it is likely too late to really adopt the metric system for financial transactions. But the K has crept in for thousands.
milion = 10^6, miliard = 10^9
bilion = 10^12, biliard = 10^15
trylion = 10^18, tryliard = 10^21
kwadrylion = 10^24, kwadryliard = 10^27, ...
Compared to that American way is just insane (as always).But I agree that writing 1.23 * 10^6 is preferable.
It's consistent, but it's consistent with something that doesn't match people's usage.
Both systems are roughly equally broken, so either side mocking the other for their number system is a display of parochialism above and beyond the usual levels one would see.
I respectfully offer the Lakh [1] (1,00,000) and the Crore [2] (1,00,00,000) for other things people care about. :)
[1] https://en.wikipedia.org/wiki/Lakh [2] https://en.wikipedia.org/wiki/Crore
4 is a more common grouping than either 3 or 6. All of China and Japan and many places in between group their digits in fours.
And I always group the digits of hexadecimal numbers in fours.
Hi. I live in Poland. We use "milion" and "miliard" which sound exactly as you would say them in english and somehow I never met anyone who would have problems distinguishing one from the other, phonetically. Soo... maybe not that stupid after all?
https://en.m.wikipedia.org/wiki/Long_and_short_scales#Curren...
“The traditional long scale is used by most Continental European countries and by most other countries whose languages derive from Continental Europe (with the notable exceptions of Albania, Greece, Romania, and Brazil).”
Million (10⁶)
Milliarde (10⁹)
Billion (10¹²)
Billiarde (10¹⁵)
etc.
10^6 : Million 10^9 : Milliarde (instead of billion) 10^12 : Trillion 10^15 : Quadrillion
surely that depends on the unit of measurement :-)
Only about 10^247 of instructions could have been performed by a computer since beginning of our universe (if the entire universe was converted into a computer and it would do calculations in theoretically optimal way).
The observable universe volume to planck volume ratio is only of the order of 10^185.
247, 185, that's still long way to 1000000000 orders of magnitude, whatever way to look at it.
Even if you decide your unit of measurement of volume is the volume of entire observable universe then the planck volume, which is orders of magnitude less than any particle volume, is still just 10^-185. That is just 185 decimal places, far from billion decimal places.
Or, in other words, if you like something more tangible: 0.00000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 0000000000000000000000000000000001
This is 1 at 185th decimal place.
If I did this for 1 billion decimal places the entire document would be gigabyte in size and you would spend a bit of time downloading and scrolling it, assuming HN would first allow me to upload it.
Sure, but if your unit of measurement is (for whatever reason) 10^billion times the observable universe that statement holds.
I don't think any amount of pedantry will let us distinguish a billionth significant figure though.
According to Stirling's approximation, (10^185)! is more than 10^10^187, which makes a billion decimal places look very small indeed.
The topic is an article saying "Precision studies of antihydrogen atoms, for example, have shown that their characteristics are identical to hydrogen atoms to beyond the billionth decimal place." This suggest the "characteristic" is some kind of physical property that can be measured and compared.
Edit: The CERN[1] article says that it is in fact 5.3σ.
[1]: https://home.cern/news/press-release/physics/lhcb-sees-new-f...
Stay tuned for more high-profile LHCb results at Moriond tomorrow and on Tuesday.
Will you be here all week?
"CPT Symmetry" https://en.wikipedia.org/wiki/CPT_symmetry
"CP Violations" https://en.wikipedia.org/wiki/CP_violation
"Charm quark" https://en.wikipedia.org/wiki/Charm_quark :
> The antiparticle of the charm quark is the charm antiquark (sometimes called anticharm quark or simply anticharm), which differs from it only in that some of its properties have equal magnitude but opposite sign.
from the paper (links in my other comment). SM = standard model.
The only news here is the technical achievement of measuring the effect in charm quarks, which is harder to do than in kaons (1964) and B mesons (2001).