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Rodger Trevor Simon
5 years ago
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1 ( ) %'& "! "$#!

5 + * + *, +, +

6 BEAM DENSITY DISTRIBUTIONS

7 ? 0 3. / :9 /; / <=7>9 *, 3 3 3

8 BEAM-BEAM FORCE, ROUND BEAMS

10 C *, C F G

11 J I H H ( ) %'& H H "! "$#!

12 ξ amplitude ( σ )

16 beam beam parameter and luminosity ξ limit (0.075) 0.08 ξ = const ξ = I L = I L = I

17 +,,, C, *, *, *, KMLON LOP

18 Long-range QQQQQ QQQQQ QQQQQ QQQQQ QQQQQ QQQQQ RRRR RRRR RRRR RRRR RRRR RRRR SSSS SSSS SSSS SSSS SSSS SSSS TTTT TTTT TTTT TTTT TTTT TTTT Head-on

19 UWVYX[Z

21 BEAM BEAM FORCE, ROUND BEAMS head on long range

22 X d sep 25 ns \ ]_^

23 IP5 IP4 IP6 IP3 beam1 beam2 IP7 IP2 IP8 IP1

24 IP 5 - UA 1 electrostatic separators IP 4 - UA2 IP 6 electrostatic separators IP 3 IP 1 proton orbit for operation with 6 * 6 bunches IP 2 antiproton orbit for operation with 6 * 6 bunches

25 ` X acbcdfegbchjilknmporqsqstvuwtsorbxu

26 0.324 Footprint, vertical separation

27 LHC collision, IP1 and IP5 only head-on and parasitic at murad fractional vertical tune x fractional horizontal tune

28 z y z z 0.312

30 3 3 X

31 t 1 t 2 t 3 t 4 t 1 t 2 t 3 8 bunches missing 38 bunches missing 39 bunches missing bunches t bunches missing total number of bunches: 2808

32 Long-range {{{{ {{{{ {{{{ {{{{ {{{{ {{{{ Head-on

34 ~ } } } } ( ) %'& self consistent orbits (BEAM1) horizontal offset at IP1 [micron] bunch number "! "$#!

35 ~ } } } } ( ) %'& self consistent orbits (BEAM2) horizontal offset at IP1 [micron] bunch number "! "$#!

36 3 Orbit spread along 3 batches

37 Tune spread Horizontal tune Qx Bunch number along bunch train

38 ( ) %'& "! "$#!

39 ƒ (µrad) Beam-beam Deflection Angle θ bb σ σ ξ x y x / ξy 100 GeV = µm = µm = / Separation Correction : µm Separation y ( µ m) (Courtesy J. Wenniger)

40 X

41 0-mode π -mode TURN n TURN n+1

42 beam beam modes and tune spread (single bunch case) π mode 0 mode ξ Tune

43 0.012 Q_FFT_TfsQ2_99_10_19:07_26_25 u 2: Qx

44 Spectral power 1.E+10 1.E+09 1.E+08 Blue Horizontal, single p bunch, at injection ˆ x Š x Beam-beam OFF Beam-beam ON 1.E+07 1.E Tune Courtesy W. Fischer (BNL)

45 Coherent modes, Hybrid Fast Multipole Method

47 Spectrum of coherent modes, Intensity ratio Spectrum of coherent modes, Intensity ratio

48 ŒFourier spectrum of coherent modes, Q = Beam 1 ŒFourier spectrum of coherent modes, Q = Beam 1

52 Ž LHC nominal collision murad, with and without pacman fractional vertical tune Ž Ž Ž Ž Ž fractional horizontal tune

53 &% $#""!! ÄÄÃÃDC Luminosity (10 30 cm -2 s -1 ) ËÌÍÎ žÿÿ Ï ÏÐ Ñ ÑÒ Ú Ú ÛÜ ÝÝÞÞßà ÝÝÞÞßà áâ 6 š š œ ªª ««Ø Ø Ù Ù ÆÅÅÆÇÈ ÉÉÊÊ ÓÓ ÓÓÔÔ Õ Õ ãä ãä 5 Ö Ö 4 Luminosity (10 30 cm -2 s -1 ) 3 IP2 Scan a Families b c Offset a Offset b Offset c Luminosity (10 30 cm -2 s -1 ) Vernier setting ( µm) IP2 ³ µ 8 ùúûû ü ü ýþ éêëì+,-. íî ï1 ïð12/0 7 ñ ñò ó óô '()* ±² ¹ ¹º» ¼ ø» ¼ ø ½¾ À À ÁÂ õö õö 9: 9: ;< = > = > 5 åæçè IJ IJ Luminosity (10 30 cm -2 s -1 ) 0 K IJMNKL IJMN Vernier setting ( IP4 ÿ ÿ ABGH ABGH µm) IP4 Scan Offset a Offset b Offset c IP6 Scan Offset a Offset b Offset c IP8 Scan Vernier setting ( µm) IP Vernier setting ( µm) IP8 Offset a Offset b Offset c

54 ˆ ˆ ˆ x ˆ OQPSRUTWVYX[Z]\_^a`cbd`fehgjikbd`fehg lnmporqresbalutnlnqwvdzyxwzuo{r} ~ ] S wƒ Y Y Y [ Yƒ[ŠhP z P Œ Ž V Z \ ^a` bd`fehgjikbd`fesg lnm qr`f ehšfq ln hmœz RUOžx R X Ÿ X[ X[ X[ V[ W kª X[ X[ «X[ ª Ȳ ± ± Zyª² RUŒ ³µ [ W Y Y [ [ ŠhP z P Œ Ž V V[ ] ¹ PSº»V[ ±¼½ ±Z ¾S`fehgjikbd`fehg `f d`fšfq ofzàr}œ ³» Oµ««± Á ± V[ X[Âx]«T XÃX[ ZžÄ ÅÇÆfX [ [ZÈª² ÊÉ RUŒ ³µ Ë[ƒ Y [ ŠhP OQPÍÌÍTWX[ Á ± W Î ZÍ¾S`fesgÏiÎbd`fehg `f d`fšfqro_lnm `ftn`fšfqr hmaikðd soñlnqr hm orqr s resòh` lnmaòhofzs¹ X[ª² W j ]xw ÓRUŒ ³µ x]«±t XÔX ÕX[ ~_V[ ± kª «± Á Oµ««± Á ± V[ X[ ± Z ª² ª² Ö Z z «kÿø Â QX[ ± cª² ~ TY¼½ ª «± ZU ÊËYË Y Y [Ù[ŠhP Œ_PÍÚ ±ª² ÛZ ¾S`fesgÏiÎbd`fehg ÜavÝmaehgjlnšfofZcRUŒ ³» Oµ««± Á ± V[ X[ xê«±t XÃX[ ÛZÈ³ST XÔ Y Y [ƒ ZÞª² ÊÉ RUŒ ³µ [ Ë ß ˆ Y Y ŠhP à P žv k kª V[ Ê º»P OQPUŒ ± áãª² Ê ±Z â tn hor`fü `fãýða `foñorlu sm ä² h q ^p` `ftn`fšfq rlnšfestêåa`ftuü säæejçhiküalngï`fmaorlu smaehtþèµeséporoñlnehm š ^aeh Òh`½Z RUŒ ³» ž wê xw³µ ÓëUìîíW Ë[ ËYß ˆ Y [ ËïŠhP ð P ìq ±Z ñ d`fšfq o» sä}òœóôâ õ óžö baéampš ^a`foµlnm q ^a` ÍøQâ_Z RUŒ ³» zuìùr ~ X úf «± î³_ X[ ± ûƒ ˆ Y Yß ŠhP OQPÍ~ ª²üyª² áãª²z ý»baoñ`f þ[esqrln hm säæbd`fehgjikbd`fesg `f d`fšfq o»lnm ò ñ \ ÿ»óqzõê Œ Œ Œ ëp V P» žÿ «²P_xÊ«ÃP Z

55 ˆ ˆ P ˆ Z à ˆ ð à ˆ X ÁP Ù ß[ Y Y Y ŠhP Ú P X[á X[¼ V ± µv ÁP Z \æéama` or^plnä²q säæšf h^a`f `fmýq_bd`fehgjikbd`fehg soñšflntntnehq lu smaofzõ~_v ± P»Oµ««ÃP œz [ Y Y YË ŠhP ÕPÍO ² ±Å V[T ª² Zyý»m qr^a` ÍehmaÜaehé ÜaehgjÐalumaÒÏehmaÜ Üa`fšf h^a`f r`fmašf` sä}q resmaoñþh`f oñ` ÜalnÐd htn` soñšflntntnehq lu smao lum šf stntulnüalnmaòjbd`fesgïo Z ~_V[ Oµ««ÃPœZU ƒ Y Y Yß ŠhP ÕPÍO ² ±Å V[T ª² Z ó oñq épüav hä}qr^a` šf s^p`f `fm q»bd`fesgïikbd`fesg `f d`fšfq lnm q ^a` ä² resgï` h hä}qr^a`žtnehor [þ Ðd`f rq éa rbaesqrln hm q ^a`f h v žÿd«± ²P êr P ± kt P œzyùw [ƒ ÙWËYË[Ù[ŠhP ÕPÍO ² ±Å V[T ª² ZyìQPîº X[ Z P]ìQ ± ±ùv[ Ê P ~_PUÌÈX V[ ]X[Z â s^p`f `fm q_bd`fesgïiîbd`fehg `f d`fšfqro_lnm qr^a` ÍøQâ Z RUŒ ³µ zuìùr ~ X úf «î³_ X[ Êß ß Ù Ë ËY ŠhP ð P ìq ±Zyâ hgjðaéaqresqrln hmaest]õ `fqr^a Üaoµä² h bd`fesgïikbd`fesg lnm qr`f ehšfq ln hmaoplumašf s^p`f `fm q»`f d`fšfq ofzèz «± kÿø ùv[ ÂRUOžx ZÈxÊ ±ŽÃª² ÁV Ù ËYËY [Z V[ TY k É íyíê«± ± ]P²«±T[í T «! V#"! V#" íw V ÛáÃ wíê«x#" YP P ð P ìq ±Zyâ hgjðaéaqresqrln hmaest]õ `fqr^a Üaoµä² h bd`fesgïikbd`fesg lnm qr`f ehšfq ln hmaopšf h^a`f r`fm q_`f d`fšfqro Zyz «± ÎŸØ ùv[ RUOžxWZÕx] ±ŽÔª² ²V Ù ËYËY [Z V[ TY k É íyíê«± ± ]P²«±T[í T «! V#"! V#" íw V ÛáÃ wíê«x#" Ù P P ð P ìq ±Z à P ~_PUÌÈX[ $ V[ ]X[ZSV Ê &%ûp ¹ÝX Ê ± ZÍó ^ výba luü ä²esoñq g éatuq lnðd htnồgj`fq ^p Ü ehðaðatnlu`fü q jbd`fehgjikbd`fehg šf htntnlnoñln hmao lnm qr^a` orqr hmaòsikoñq r smaòï `fòhlngj`½zy~ TY¼s P_³_ ±Ž P xõë Oµ««± ÁP» À V#" ('œz ËY Y ÊË Ù ˆ Ù ËYËY ïšhp ð P ìq jv[ ] ³ PÍ~_V V[ ± ²V[Z] ÍehmaÜaehé ÜpesgÏÐalnmaÒÏ säæšf h^a`f `fmýq gj Üp`fo_b v Ãþh`f tuesð luq ^ oñv maš ^p hq hm oñlnüa`fbaehmaüaofzcruœ ³µ

56 zuìùr ~ X úf «î QX[ ƒ Ëï ˆ Ù ËYË Ù[ŠhP ³ P ë V[ )" V[ WZÊó Ða hðd soñ`fü õ hbalnéao»esšfšf`ftn`f resqr s * ZÈ~ T ¼½ P»³_ Ž P z k P'œZ Y Y YË ˆ Y Y ŠhP

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