81:
22:
71:
53:
978:
875:
1336:
1167:
736:
440:
1782:
269:
632:
1066:
1231:
478:
307:
145:. 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. --
527:
356:
1500:
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 T
1749:
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"
208:
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:
1772:
1777:
80:
1750:
103:
889:
786:
1248:
1345:
1176:
1357:
757:
553:
141:
The anomalies that break B and L individually cancel exactly to conserve B−L. See, for example, the end of the SM section of
1615:
Especially for discussion of the electroweak interaction couplings, all three z's mess up, terrible :-( ! German example:
94:
58:
33:
1608:
e. This is used if there is a need for disambiguation with the Charge Q = z • e . For atoms this is identical with the
1588:). When I changed some articles in english and german WP I messed up with several Z-s (also used as index). These are:
1083:
168:
This is more than just the flavour associated quantum numbers. Perhaps we should rename it just "quantum numbers"? --
664:
385:
198:
Why do we not call Up and Down flavour quantum numbers? They are conserved by the strong force, are they not? --
217:
582:
1754:
1008:
1724:
1714:
1187:
1349:
753:
561:
39:
451:
280:
178:
I split up the (baryonic) flavour quantum numbers from the others. This should solve your question. --
1735:
183:
102:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
1696:
1655:
1558:
199:
169:
1758:
1739:
1699:
1658:
1648:
1561:
1364:(minus sign for D, S, and B !) we can verify the broken electric charge numbers of the quarks:
202:
187:
172:
149:
1605:
1675:
my QFT books (Cheng & Li, Kaku, Itzykson & Zuber, Leite Lopes, Sterman) use either T
1654:
I like the idea of 3 instead of z. Plus it seems more common in the literature. Updated.--
1644:
503:
332:
1731:
1616:
1595:
179:
156:
146:
86:
1515:
A better proposal might be to leave T as the sign for topness. Instead, we might use I
552:
Please keep in mind, that we have a minus sign for all down-like quarks as defined in
1766:
1609:
1601:
1497:
749:
1489:
1640:
1546:
1509:
1473:
996:
70:
52:
1493:
1361:
765:
557:
76:
1621:
What do you think about using 3 instead of z for the 3rd component, i.e. I
1485:
1353:
761:
645:
565:
99:
1557:
for weak isospin make sense to me. The dashes are too easy to miss. --
142:
1472:
have Q=-1/3. The corresponding antiquarks have the opposite sign. --
1591:
1) z (lowercase) as denotation for the 3rd component instead of 3
1663:
PS I looked in the literature and it seems to be choice between I
986:
This shows that we could use U and D as a substitute for B and I
973:{\displaystyle D=I_{z}-{\frac {3}{2}}B+{\frac {1}{2}}(C-S+T-B')}
870:{\displaystyle U=I_{z}+{\frac {3}{2}}B-{\frac {1}{2}}(C-S+T-B')}
1576:
as a denotation for the 3rd component of isospin rather than I
1331:{\displaystyle Q={\frac {2}{3}}(U+C+T)+{\frac {1}{3}}(D+S+B')}
15:
1730:
unless you can solve the typesetting problem using it causes.
1344:
which resembles the corresponding Q term as given in article
1492:
both are denoted by T. This is an ambiguosity like denoting
143:
Phenomenological guide to physics beyond the
Standard Model
1710:
The title was overlaid with text. This was caused by the
1523:
for weak hypercharge) instead of the ambiguous T, and I
1251:
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1086:
1011:
892:
789:
667:
585:
506:
454:
388:
335:
283:
220:
98:, a collaborative effort to improve the coverage of
1330:
1225:
1162:{\displaystyle Y={\frac {1}{3}}(U-D+4C+2S+4T+2B')}
1161:
1060:
972:
869:
730:
626:
521:
472:
434:
350:
301:
263:
1783:Template-Class physics articles of NA-importance
1671:; I can't see z used as a subscript anywhere.
731:{\displaystyle B={\frac {1}{3}}(U-D+C-S+T-B')}
1720:so I removed it. I suggest not replacing the
560:but not for the up-like quarks as defined in
8:
435:{\displaystyle D=-(n_{d}-n_{\overline {d}})}
1604:, i.e. the charge measured in units of the
1568:Third component of isospin and weak isospin
264:{\displaystyle U=(n_{u}-n_{\overline {u}})}
1175:(2) For the electric charge Q as given by
480:represents the number of down antiquarks (
47:
1348:. Keeping in mind the definitions for U,
1292:
1258:
1250:
1210:
1201:
1189:
1093:
1085:
1015:
1010:
928:
912:
903:
891:
825:
809:
800:
788:
674:
666:
627:{\displaystyle I_{z}={\frac {1}{2}}(U+D)}
599:
590:
584:
511:
505:
459:
453:
418:
405:
387:
340:
334:
288:
282:
247:
234:
219:
32:does not require a rating on Knowledge's
1061:{\displaystyle Y{\frac {}{}}=B+S+C+T+B'}
309:represents the number of up antiquarks (
1226:{\displaystyle Q=I_{z}+{\frac {1}{2}}Y}
49:
529:represents the number of down quarks (
1639:Thanks in advance for any comments --
92:This template is within the scope of
21:
19:
7:
1745:Different formulas for Hypercharge??
1636:) as 3rd component of weak isospin?
358:represents the number of up quarks (
155:Oops, that's my bad. I'mm a jerk. -
1691:. Nishijima's original paper uses I
1600:3) z (lowercase) for dimensionless
1580:(same for weak isospin, currently T
1537:for its 3rd component (instead of T
38:It is of interest to the following
14:
473:{\displaystyle n_{\overline {d}}}
302:{\displaystyle n_{\overline {u}}}
79:
69:
51:
20:
1773:Template-Class physics articles
1625:for 3rd component of isospin, T
1778:NA-importance physics articles
1549:10:20, 19 February 2009 (CET)
1325:
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1103:
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684:
621:
609:
429:
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227:
1:
1759:14:20, 14 February 2024 (UTC)
1740:14:11, 30 November 2009 (UTC)
1562:13:58, 19 February 2009 (UTC)
1519:for weak isospin (just like Y
1512:12:55, 31 January 2009 (CET)
203:23:29, 11 November 2008 (UTC)
173:23:27, 11 November 2008 (UTC)
159:18:43, 19 December 2005 (UTC)
150:18:25, 19 December 2005 (UTC)
112:Knowledge:WikiProject Physics
106:and see a list of open tasks.
1700:00:39, 7 November 2009 (UTC)
1659:22:37, 1 November 2009 (UTC)
1476:12:30, 31 January 2009 (CET)
464:
423:
293:
252:
188:09:30, 24 January 2011 (UTC)
115:Template:WikiProject Physics
1706:Removed typesetting problem
1346:Gell-Mann–Nishijima formula
1177:Gell-Mann–Nishijima formula
1799:
1649:20:35, 10 March 2009 (UTC)
1594:2) Z (uppercase) for the
777:Solved for U, D we yield:
64:
46:
1481:Topness and Weak Isospin
522:{\displaystyle n_{d}\ }
351:{\displaystyle n_{u}\ }
1332:
1227:
1163:
1062:
974:
871:
732:
628:
523:
474:
436:
352:
303:
265:
1333:
1228:
1164:
1063:
975:
872:
733:
629:
524:
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437:
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304:
266:
1572:This template uses I
1418:have Q=+2/3, whilst
1249:
1188:
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1009:
890:
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748:(per definitions of
665:
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644:(per definition of
95:WikiProject Physics
1617:de:schwache Ladung
1328:
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990:as well. Examples:
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34:content assessment
1606:elementary charge
1300:
1266:
1239:wie yield finally
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518:
467:
426:
347:
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164:More than Flavour
134:
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1697:Michael C. Price
1656:Michael C. Price
1559:Michael C. Price
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908:
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863:
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826:
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805:
804:
768:: Count 'em all)
737:
735:
734:
729:
724:
683:
675:
633:
631:
630:
625:
608:
600:
595:
594:
546:
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544:
537:
536:
528:
526:
525:
520:
517:
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499:
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200:Michael C. Price
170:Michael C. Price
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1612:Z (uppercase).
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1197:
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899:
888:
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796:
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663:
662:
649:
586:
581:
580:
573:By this we have
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535:
532:
531:
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507:
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496:
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384:
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336:
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243:
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139:
117:
114:
111:
108:
107:
85:
78:
12:
11:
5:
1796:
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1780:
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1746:
1743:
1725:Tnavbar-header
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1632:
1630:
1626:
1622:
1585:
1581:
1577:
1573:
1569:
1566:
1565:
1564:
1554:
1542:
1538:
1533:
1531:
1526:
1524:
1520:
1516:
1505:
1501:
1482:
1479:
1478:
1477:
1467:
1466:
1459:
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1449:
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1440:
1431:
1430:
1423:
1422:
1413:
1412:
1405:
1404:
1395:
1394:
1387:
1386:
1377:
1376:
1369:
1368:
1341:
1340:
1339:
1338:
1327:
1323:
1320:
1316:
1313:
1310:
1307:
1304:
1299:
1296:
1291:
1288:
1285:
1282:
1279:
1276:
1273:
1270:
1265:
1262:
1257:
1254:
1241:
1240:
1236:
1235:
1234:
1233:
1222:
1217:
1214:
1209:
1204:
1200:
1196:
1193:
1180:
1179:
1172:
1171:
1170:
1169:
1158:
1154:
1151:
1147:
1144:
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1138:
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1132:
1129:
1126:
1123:
1120:
1117:
1114:
1111:
1108:
1105:
1100:
1097:
1092:
1089:
1076:
1075:
1071:
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1069:
1068:
1056:
1053:
1049:
1046:
1043:
1040:
1037:
1034:
1031:
1028:
1025:
1014:
1001:
1000:
992:
991:
987:
983:
982:
981:
980:
969:
965:
962:
958:
955:
952:
949:
946:
943:
940:
935:
932:
927:
924:
919:
916:
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902:
898:
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880:
879:
878:
877:
866:
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852:
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840:
837:
832:
829:
824:
821:
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813:
808:
803:
799:
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792:
779:
778:
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769:
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727:
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87:Physics portal
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1610:atomic number
1607:
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1602:charge number
1598:
1597:
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1567:
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1359:
1355:
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1321:
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1220:
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1127:
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1080:
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1077:
1073:
1072:
1054:
1051:
1047:
1044:
1041:
1038:
1035:
1032:
1029:
1026:
1023:
1012:
1005:
1004:
1003:
1002:
999:Y as given by
998:
994:
993:
985:
984:
963:
960:
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953:
950:
947:
944:
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933:
930:
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922:
917:
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512:
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105:
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68:
67:
63:
60:
57:
54:
50:
45:
41:
35:
31:
27:
18:
17:
1748:
1709:
1672:
1638:
1620:
1614:
1599:
1593:
1590:
1584:instead of T
1571:
1514:
1508:as it is. --
1490:weak isospin
1484:
995:(1) For the
881:
197:
167:
140:
93:
40:WikiProjects
29:
1629:(or maybe I
997:hypercharge
554:Strangeness
194:Up and Down
1767:Categories
1732:Puzl bustr
1494:bottomness
558:Bottomness
1356:, and D,
180:Dogbert66
1074:we yield
752:, U, D,
30:template
1683:, not T
1667:& T
1596:Z Boson
1486:Topness
566:Topness
109:Physics
100:Physics
59:Physics
1641:Ernsts
1547:ErnstS
1510:ErnstS
1474:ErnstS
764:, and
500:) and
448:where
329:) and
277:where
147:Xerxes
36:scale.
1553:Yes I
1504:aka T
562:Charm
157:lethe
28:This
1755:talk
1736:talk
1695:. --
1687:or I
1679:or I
1645:talk
1545:).--
1541:or T
1530:or I
1496:and
1488:and
1454:and
1400:and
564:and
556:and
184:talk
1673:All
137:B−L
1769::
1757:)
1738:)
1728:}}
1722:{{
1718:}}
1712:{{
1647:)
1436:,
1382:,
1362:B'
1360:,
1352:,
1110:−
957:−
945:−
910:−
854:−
842:−
823:−
766:B'
760:,
756:,
715:−
703:−
691:−
547:).
465:¯
424:¯
412:−
396:−
376:).
294:¯
253:¯
241:−
186:)
1753:(
1734:(
1693:3
1689:z
1685:z
1681:3
1677:3
1669:3
1665:3
1643:(
1633:3
1631:W
1627:3
1623:3
1586:3
1582:z
1578:3
1574:z
1555:W
1543:z
1539:3
1534:z
1532:W
1527:3
1525:W
1521:W
1517:W
1506:3
1502:z
1463:b
1445:s
1427:d
1409:t
1391:c
1373:u
1358:S
1354:T
1350:C
1326:)
1322:′
1319:B
1315:+
1312:S
1309:+
1306:D
1303:(
1298:3
1295:1
1290:+
1287:)
1284:T
1281:+
1278:C
1275:+
1272:U
1269:(
1264:3
1261:2
1256:=
1253:Q
1221:Y
1216:2
1213:1
1208:+
1203:z
1199:I
1195:=
1192:Q
1157:)
1153:′
1150:B
1146:2
1143:+
1140:T
1137:4
1134:+
1131:S
1128:2
1125:+
1122:C
1119:4
1116:+
1113:D
1107:U
1104:(
1099:3
1096:1
1091:=
1088:Y
1055:′
1052:B
1048:+
1045:T
1042:+
1039:C
1036:+
1033:S
1030:+
1027:B
1024:=
1013:Y
988:z
968:)
964:′
961:B
954:T
951:+
948:S
942:C
939:(
934:2
931:1
926:+
923:B
918:2
915:3
905:z
901:I
897:=
894:D
865:)
861:′
858:B
851:T
848:+
845:S
839:C
836:(
831:2
828:1
820:B
815:2
812:3
807:+
802:z
798:I
794:=
791:U
762:T
758:S
754:C
750:B
726:)
722:′
719:B
712:T
709:+
706:S
700:C
697:+
694:D
688:U
685:(
680:3
677:1
672:=
669:B
651:)
648:z
646:I
622:)
619:D
616:+
613:U
610:(
605:2
602:1
597:=
592:z
588:I
568:.
538:d
513:d
509:n
490:d
462:d
457:n
430:)
421:d
416:n
407:d
403:n
399:(
393:=
390:D
367:u
342:u
338:n
319:u
291:u
286:n
259:)
250:u
245:n
236:u
232:n
228:(
225:=
222:U
182:(
42::
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