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B−L
The anomalies that break B and L individually cancel exactly to conserve B−L. See, for example, the end of the SM section of
Phenomenological guide to physics beyond the Standard Model. In fact, you can (in Beyond-the-SM models) gauge the B−L symmetry. Of course, you can also break the symmetry in some SuSy models, but that's decidedly beyond-the-SM. --
Xerxes 18:25, 19 December 2005 (UTC)reply
Oops, that's my bad. I'mm a jerk. -
lethetalk 18:43, 19 December 2005 (UTC)
More than Flavour
This is more than just the flavour associated quantum numbers. Perhaps we should rename it just "quantum numbers"? --
Michael C. Pricetalk 23:27, 11 November 2008 (UTC)reply
I split up the (baryonic) flavour quantum numbers from the others. This should solve your question. --
Dogbert66 (
talk) 09:30, 24 January 2011 (UTC)reply
Up and Down
Why do we not call Up and Down flavour quantum numbers? They are conserved by the strong force, are they not? --
Michael C. Pricetalk 23:29, 11 November 2008 (UTC)reply
I think this has historical (and some practical) reason. Let's use the following ad-hoc definitions for some 'Upness' U and and 'Downness' D as follows:
where represents the number of up antiquarks ( u ) and represents the number of up quarks ( u ).
where represents the number of down antiquarks ( d ) and represents the number of down quarks ( d ).
Please keep in mind, that we have a minus sign for all down-like quarks as defined in
Strangeness and
Bottomness but not for the up-like quarks as defined in
Charm and
Topness.
which resembles the corresponding Q term as given in article
Gell-Mann–Nishijima formula. Keeping in mind the definitions for U,
C,
T, and D,
S,
B' (minus sign for D, S, and B !) we can verify the broken electric charge numbers of the quarks: u , c and t have Q=+2/3, whilst d , s and b have Q=-1/3. The corresponding antiquarks have the opposite sign. --
ErnstStalk 12:30, 31 January 2009 (CET)
Topness and Weak Isospin
Topness and
weak isospin both are denoted by T. This is an ambiguosity like denoting
bottomness and
baryon number both by B. The latter was resolved in denoting bottomness by B' (sometimes B* used). Shouldn't we do the same for topness, i. e. using a T' as symbol? We could leave Tz aka T3 as it is. --
ErnstStalk 12:55, 31 January 2009 (CET)
A better proposal might be to leave T as the sign for topness. Instead, we might use IW for weak isospin (just like YW for weak hypercharge) instead of the ambiguous T, and IW3 or IWz for its 3rd component (instead of T3 or Tz).--
ErnstStalk 10:20, 19 February 2009 (CET)
Yes IW for weak isospin make sense to me. The dashes are too easy to miss. --
Michael C. Pricetalk 13:58, 19 February 2009 (UTC)reply
Third component of isospin and weak isospin
This template uses Iz as a denotation for the 3rd component of isospin rather than I3 (same for weak isospin, currently Tz instead of T3). When I changed some articles in english and german WP I messed up with several Z-s (also used as index). These are:
1) z (lowercase) as denotation for the 3rd component instead of 3
3) z (lowercase) for dimensionless
charge number, i.e. the charge measured in units of the
elementary charge e. This is used if there is a need for disambiguation with the Charge Q = z • e . For atoms this is identical with the
atomic number Z (uppercase).
Especially for discussion of the electroweak interaction couplings, all three z's mess up, terrible :-( ! German example:
de:schwache Ladung
What do you think about using 3 instead of z for the 3rd component, i.e. I3 for 3rd component of isospin, T3 (or maybe IW3) as 3rd component of weak isospin?
Thanks in advance for any comments
--
Ernsts (
talk) 20:35, 10 March 2009 (UTC)reply
I like the idea of 3 instead of z. Plus it seems more common in the literature. Updated.--
Michael C. Pricetalk 22:37, 1 November 2009 (UTC)reply
PS I looked in the literature and it seems to be choice between I3 & T3; I can't see z used as a subscript anywhere. All my QFT books (Cheng & Li, Kaku, Itzykson & Zuber, Leite Lopes, Sterman) use either T3 or I3, not Tz or Iz. Nishijima's original paper uses I3. --
Michael C. Pricetalk 00:39, 7 November 2009 (UTC)reply
Removed typesetting problem
The title was overlaid with text. This was caused by the {{Tnavbar-header}} so I removed it. I suggest not replacing the {{Tnavbar-header}} unless you can solve the typesetting problem using it causes.
Puzl bustr (
talk) 14:11, 30 November 2009 (UTC)reply
Different formulas for Hypercharge??
On the wiki site for "Hypercharge"
it says Y = B + S - (C - B' + T)/3
while the template says
Y = (B + S + C + B′ + T)
below "Combinations / Hypercharge: Y"
46.142.91.204 (
talk) 14:20, 14 February 2024 (UTC)reply