4/14/00 PHY 3101 -- D. Acosta 2
Particle Physics
■ 7KLV ILHOG LV DERXW WKH VWXG\ RI IRUFHV DQGSDUWLFOHV
■ %XW IRUFHV DQG SDUWLFOHV DUH HTXLYDOHQW�² 5HFDOO WKDW WKH HOHFWURPDJQHWLF ILHOG LV
TXDQWL]HG LQWR SKRWRQV
■ ,Q JHQHUDO� WKH ´ILHOGVµ FRUUHVSRQGLQJ WR DOOIXQGDPHQWDO IRUFHV DUH TXDQWL]HG LQWRSDUWLFOHV
■ 0RUHRYHU� WKHVH ILHOGV �SDUWLFOHV� REH\FHUWDLQ FRQVHUYDWLRQ ODZV� ZKLFK DULVH IURPV\PPHWULHV LQ QDWXUH
■ 3DUWLFOH SK\VLFV DWWHPSWV WR XQGHUVWDQGQDWXUH DW LWV PRVW IXQGDPHQWDO OHYHO�WR H[SODLQ SK\VLFDO SKHQRPHQD LQ WHUPV WKHVPDOOHVW VHW RI FRQVHUYDWLRQ ODZV DQGV\PPHWULHV
■ %XW� VXSHUILFLDOO\ LW RIWHQ VHHPV OLNH SDUWLFOHSK\VLFV LV OLNH ]RRORJ\�
4/14/00 PHY 3101 -- D. Acosta 3
Beginning of Nuclear Substructure
■ (OHPHQWV RI WKH VDPH JURXS KDYH QHDUO\ WKHVDPH FKHPLFDO SURSHUW\
■ &KHPLFDO SHULRGLFLW\ GHSHQGV RQ WKH DWRPLFQXPEHU =
■ $OO HOHPHQWV FRPSRVHG RI MXVW HOHFWURQV�QHXWURQV� DQG SURWRQV
■ $Q\ RWKHU IXQGDPHQWDO SDUWLFOHV"
4/14/00 PHY 3101 -- D. Acosta 4
The Particle Zoo
■ 'LVFRYHUHG LQ FRVPLF UD\V�
² 3RVLWURQ� ����� 0 ����� 0H9�DQWL�HOHFWURQ SUHGLFWHG E\ 'LUDF (TQ�
² 0XRQ� ����� 0 ��� 0H9
² 3LRQ� ����� 0 ��� 0H9� SUHGLFWHG E\<XNDZD WR FDUU\ VWURQJ IRUFH
■ � 0H9 HQHUJ\ HOHFWURQ JDLQV ZKHQDFFHOHUDWHG DFURVV � PLOOLRQ YROWV�
■ 'LVFRYHUHG LQ SDUWLFOH DFFHOHUDWRUV E\ �����
² .DRQ� UKR� RPHJD� « �0HVRQV� OLNH SLRQ�
² /DPEGD� 6LJPD� ;L� «�%DU\RQV� OLNH SURWRQ�
■ 0HVRQV DQG %DU\RQV IHHO WKH VWURQJ QXFOHDUIRUFH
■ /HSWRQV �HOHFWURQ� PXRQ� GR QRW
4/14/00 PHY 3101 -- D. Acosta 5
Classification
■ +DGURQV�
² 3DUWLFOHV WKDW FDUU\ QXFOHDU ´FKDUJHµ DQGLQWHUDFW ZLWK WKH 6WURQJ 1XFOHDU )RUFH
² 0HVRQV�� ,QWHJHU VSLQ� ERVRQV �V �� �� «�
� π� .� ρ� ω� «² %DU\RQV�
� +DOI�LQWHJHU VSLQ� IHUPLRQV �V ���� ����«�
� S� Q� ∆� Λ� «
■ /HSWRQV�
² 3DUWLFOHV WKDW GR QRW FDUU\ DQ\ QXFOHDU´FKDUJHµ DQG GR QRW LQWHUDFW ZLWK WKH6WURQJ 1XFOHDU )RUFH� HOHFWURQV� PXRQV� WDXV� QHXWULQRV�«
² 'R QRW ELQG LQ QXFOHXV
■ %RWK FODVVHV RI SDUWLFOHV FDQ LQWHUDFW YLD WKH(OHFWURPDJQHWLF IRUFH �LI WKH\ KDYH FKDUJH�DQG GHFD\ YLD WKH :HDN 1XFOHDU )RUFH
4/14/00 PHY 3101 -- D. Acosta 6
Conservation Laws
■ (QHUJ\ DQG 0RPHQWXP�² &RQVHUYHG� ,Q SDUWLFXODU� 6SHFLDO
5HODWLYLW\ DSSOLHV² ([DPSOH�
■ (OHFWULF FKDUJH�² &RQVHUYHG� 0XVW DGG XS WR WKH VDPH
FKDUJH RQ HDFK VLGH RI WKH HTXDWLRQ■ %DU\RQ 1XPEHU�
² &RQVHUYHG� %DU\RQ ´&KDUJHµ PXVW DGG XSWR VDPH YDOXH RQ HDFK VLGH RI WKH HTXDWLRQ
■ /HSWRQ 1XPEHU�² &RQVHUYHG� /HSWRQ ´&KDUJHµ PXVW DGG XS
WR VDPH YDOXH RQ HDFK VLGH RI WKH HTXDWLRQIRU HDFK W\SH RI OHSWRQ �HOHFWURQ� PXRQ�WDX�
■ 1RWH� DQWL�SDUWLFOHV KDYH WKH RSSRVLWH´FKDUJHµ RI SDUWLFOHV �HOHFWULF FKDUJH� EDU\RQQXPEHU� OHSWRQ QXPEHU�
π γ γ π γ
γ γ γ
0 0→ →
→ →+ − + −
but not
but not e e e e
p
B
+ →+ =
+ ++π ∆: 1 0 1
µ ν ν µ
µ
− −→ + +
= − += + +
e
L
L
e
e:
:
0 1 1 0
1 0 0 1
4/14/00 PHY 3101 -- D. Acosta 7
Lifetime of Particles
■ )DVWHVW GHFD\V LQYROYH WKH 6WURQJ 1XFOHDU)RUFH�
² τ ≈ ����� V
² ([DPSOH�
² &RPSDUH WR WKH WLPH LW WDNHV OLJKW WRFURVV � IP�
■ 1H[W IDVWHVW GHFD\V LQYROYH WKH(OHFWURPDJQHWLF )RUFH�
² τ ≈ ����� V
² ([DPSOH�
■ 6ORZHVW GHFD\V LQYROYH WKH :HDN 1XFOHDU)RUFH�
² τ ≈ ����� V
² ([DPSOH�
■ ,I D FRQVHUYDWLRQ ODZ IRUELGV D W\SH RIGHFD\� WKHQ WKH OLIHWLPH ZLOO EH VLJQLILFDQWO\ORQJHU
∆++ +→ +p π
t =×
= ×−
−103 10
1524 m
3 10 m / s s8
π γ γ0 →
K K+ + + − + +→ → +π π π µ ν µ
4/14/00 PHY 3101 -- D. Acosta 8
Strangeness
■ 6RPH SDUWLFOHV DUH REVHUYHG WR GHFD\UDSLGO\� RWKHUV DUH QRW
² :K\ GRHVQ·W .DRQ GHFD\ TXLFNO\ OLNH RWKHUVWURQJ QXFOHDU GHFD\V"
■ 0XUUD\ *HOO�0DQQ DQG .D]XKLNR 1LVKLMLPDLQYRNH QHZ TXDQWXP QXPEHU FDOOHG´VWUDQJHQHVV�µ ZKLFK LV FRQVHUYHG LQHOHFWURPDJQHWLF DQG VWURQJ QXFOHDULQWHUDFWLRQV� EXW LV YLRODWHG E\ WKH ZHDNQXFOHDU LQWHUDFWLRQ�
■ .DRQ� /DPEGD� 6LJPD KDYH VWUDQJHQHVV �
■ 3LRQ� 3URWRQ� 1HXWURQ KDYH VWUDQJHQHVV �
K+ + + −→ π π π
4/14/00 PHY 3101 -- D. Acosta 9
The “Eightfold Way’’
■ 'HYHORSHG E\ 0XUUD\ *HOO�0DQQ DQG <XYDO1H·HPDQ LQ ����
■ 3ORW K\SHUFKDUJH < �EDU\RQ QXPEHU �VWUDQJHQHVV� YHUVXV LVRVSLQ
■ 2EVHUYH SDWWHUQV LQ PXOWLSOHWV
■ 2PHJD SUHGLFWHG DQG REVHUYHG ����
Periodic table for “elementary particles”!
Isospin
Charge
4/14/00 PHY 3101 -- D. Acosta 10
Quarks
■ 0XUUD\ *HOO�0DQQ DQG *HRUJH =ZHLJ SURSRVHLQ ���� WKDW PHVRQV DQG EDU\RQV DUH QRWHOHPHQWDU\� EXW DUH FRPSRVHG RI VPDOOHUFRQVWLWXHQWV� 4XDUNV
■ -DPHV -R\FH� )LQQHJDQ·V :DNH�´7KUHH TXDUNV IRU 0XVWHU 0DUN�µ
■ X� G� DQG V TXDUNV �XS� GRZQ� VWUDQJH�
■ 7KHVH TXDUNV KDYH VSLQ ���� DQG KDYHIUDFWLRQDO HOHFWULF FKDUJH ����� �����
■ 3URWRQ� X X G
■ 1HXWURQ� X G G
■ 3LRQ� XG� XX � GG� GX
■ .DRQ� XV� GV� VG� VX
■ 1RW FOHDU LI WKLV LV D PDWKHPDWLFDOFRQYHQLHQFH� RU UHDOLW\
4/14/00 PHY 3101 -- D. Acosta 12
Rutherford Model of the Atom
Conclusion: the atom contains a positive nucleus < 10 fm in size (1 fm = 10-15 m)
4/14/00 PHY 3101 -- D. Acosta 13
How we “see” particles
The smaller the wavelength, the smaller the features observed.
Recall that the deBoglie wavelength of a particle is λ = h / p
So we need high energies to probe quarks
4/14/00 PHY 3101 -- D. Acosta 15
Size of Nuclei
■ 5REHUW +RIVWDGWHU SHUIRUPV H[SHULPHQW DW6WDQIRUG XVLQJ QHZ OLQHDU DFFHOHUDWRU IRUHOHFWURQV LQ ����V
■ ( ��� �� ��� 0H9
■ λ ��� IP
■ 7KH SURWRQ LV QRW D SRLQW� �'HYLDWLRQ RIHODVWLF VFDWWHULQJ UDWH IURP 5XWKHUIRUG6FDWWHULQJ�
■ 3URWRQ DQG QXFOHL KDYH H[WHQGHG FKDUJHGLVWULEXWLRQV
■ 1REHO SUL]H LQ ����
proton
4/14/00 PHY 3101 -- D. Acosta 16
Deep Inelastic Scattering
■ 6WDQIRUG /LQHDU $FFHOHUDWRU &HQWHU �6/$&�FRQVWUXFWV � PLOH ORQJ DFFHOHUDWRU LQ ����
■ ( �� *H9
■ ([SHULPHQW E\ 6/$& DQG 0,7 �)ULHGPDQ�.HQGDOO� 7D\ORU �� 1REHO LQ ����� FUDFNV WKHSURWRQ �LQHODVWLF VFDWWHULQJ� LQ ����
■ 6XUSULVH ZKHQ VFDWWHULQJ UDWH IROORZV5XWKHUIRUG IRUPXOD IRU VFDWWHULQJ EHWZHHQSRLQW SDUWLFOHV�
■ 5LFKDUG )H\QPDQ GXEV SURWRQ FRQVLWXHQWVSDUWRQV
■ 4XDUNV DUH UHDO�
e
p
4/14/00 PHY 3101 -- D. Acosta 17
Quarks within the Proton
■ 6FDWWHULQJ UDWH LV LQGHSHQGHQW RI UHVROYLQJSRZHU RI LQFRPLQJ HOHFWURQ
² 4XDUN DUH IXQGDPHQWDO �%MRUNHQ 6FDOLQJ�
■ 7RWDO VFDWWHULQJ UDWH FRQVLVWHQW ZLWK VSLQ��� TXDUNV
² &DOODQ�*URVV UHODWLRQ
■ %XW PRPHQWXP IUDFWLRQ FDUULHG E\ D TXDUN LVQRW ���
4/14/00 PHY 3101 -- D. Acosta 18
Proton is a Complicated Object
■ 7RWDO PRPHQWXP IUDFWLRQ FDUULHG E\ TXDUNVLV RQO\ ��� � 5HVW LV FDUULHG E\ JOXRQV� WKHFDUULHUV RI WKH VWURQJ QXFOHDU IRUFH
■ 7RWDO VSLQ FDUULHG E\ YDOHQFH TXDUNV �XXG� LVDOVR QRW ����
4/14/00 PHY 3101 -- D. Acosta 19
November Revolution
■ 1HZ TXDUN GLVFRYHUHG LQ ����� FKDUP
■ 6DP 7LQJ OHDGV GLVFRYHU\ RI D UHVRQDQFH LQSURWRQ�QXFOHRQ FROOLVLRQV DW %URRNKDYHQ1DWLRQDO /DERUDWRU\� FDOOV LW WKH - SDUWLFOH
■ %XUW 5LFKWHU OHDGV GLVFRYHU\ RI D UHVRQDQFHDW DQ H�H� FROOLGHU DW 6/$&� FDOOV LW WKH 3VLSDUWLFOH
■ 0DVV RI -�ψ LV ��� *H9
■ 5LFKWHU� 7LQJ VKDUH ���� 1REHO SUL]H
■ ([DPSOH RI FKDUPRQLXP
² %RXQG VWDWH RI F F
² /LNH SRVLWURQLXP �H�H�� EXW IRU VWURQJIRUFH
² ,Q RWKHU ZRUGV� OLNH + DWRP
■ +LJKHU PDVV H[FLWHG VWDWHV H[LVW DOVR� OLNH ψ¶
4/14/00 PHY 3101 -- D. Acosta 20
The Bottom Quark
■ ,Q ���� /HRQ /HGHUPDQ OHDGV GLVFRYHU\ RI DKLJKHU PDVV UHVRQDQFH DW )HUPLODE
■ 0DVV RI Υ �8SVLORQ� LV ��� *H9
■ ([DPSOH RI ERWWRPRQLXP� E E
■ $JDLQ H[FLWHG VWDWH UHVRQDQFHV H[LVW
■ 1RZ VWXGLHG LQ JUHDW GHWDLO LQ H�H� FROOLGHUH[SHULPHQWV�
² &/(2� VWXGLHV % PHVRQV �E TXDUN � X�G�V�F�
■ 6RRQ WKHUH ZLOO EH D URXQG RI PDQ\ QHZH[SHULPHQWV GRLQJ % SK\VLFV
4/14/00 PHY 3101 -- D. Acosta 21
Discovery of the top quark
The top quark was discovered in 1995 with a mass of 175 GeV, as much as an atom of gold!
4/14/00 PHY 3101 -- D. Acosta 24
History of the Discovery of Quarks■ 6/$&� ����
² 'LVFRYHU\ RI TXDUNV LQ HOHFWURQ�SURWRQVFDWWHULQJ
■ 6/$& DQG %URRNKDYHQ� ����
² 'LVFRYHU\ RI WKH FKDUP TXDUN LQ HOHFWURQ�SRVLWURQ DQQLKLODWLRQ
■ )HUPLODE� ����
² 'LVFRYHU\ RI WKH ERWWRP TXDUN LQ SURWRQFROOLVLRQV
■ )HUPLODE� ����
² 'LVFRYHU\ RI WKH WRS TXDUN LQ SURWRQ�DQWLSURWRQ DQQLKLOLDWLRQ
4/14/00 PHY 3101 -- D. Acosta 28
Jets
■ 'HVSLWH DOO WKLV HYLGHQFH� QR RQH KDV DFWXDOO\VHHQ D VLQJOH EDUH TXDUN�
■ ,QVWHDG� ZH REVHUYH FOXVWHUV RI NQRZQSDUWLFOHV �-HWV� ZKLFK WUDYHO LQ WKH GLUHFWLRQRI WKH VFDWWHUHG TXDUN
■ 7KHVH MHWV EHKDYH DV LI WKH\ RULJLQDWHG IURPD VSLQ ��� TXDUN
■ &DQQRW FDOFXODWH WKLV HIIHFW H[DFWO\ LQWKHRU\ EHFDXVH VHULHV H[SDQVLRQ GRHV QRWFRQYHUJH�
quark
π
π
π
4/14/00 PHY 3101 -- D. Acosta 29
Where’s the Glue?
■ 2QO\ LQGLUHFW HYLGHQFH IRU JOXRQV
■ %XW PDQ\ FDOFXODWLRQV DUH FRQILUPHG E\H[SHULPHQWDO PHDVXUHPHQWV
■ *OXRQV FRXSOH WR WKH � ´FRORUµ FKDUJHV RITXDUNV �UHG� JUHHQ� EOXH�
■ 6FDWWHULQJ UDWHV LQ H�H� FROOLGHUV VKRZ WKLVIDFWRU RI ��
4/14/00 PHY 3101 -- D. Acosta 31
Do Quarks have Substructure?
■ 1H[W JHQHUDWLRQ RI 'HHS ,QHODVWLF6FDWWHULQJ H[SHULPHQWV LQ +DPEXUJ� *HUPDQ\
■ +(5$� :RUOG·V RQO\ HOHFWURQ�SURWRQ &ROOLGHU�
■ 6SDWLDO UHVROXWLRQ LV ����� P
■ ([WHQGV UHDFK E\ VHYHUDO RUGHUV RIPDJQLWXGH RYHU IL[HG�WDUJHW H[SHULPHQWV