Deeply Virtual Compton Scattering on the neutron at JLab Hall A
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(14) "!# $&%')(+*,-.-0/213 -4-5)() 6878 $9$:<;>=31@?A13 -.-B)(6 C67D $. 4000. σ = 9 MeV. PR. 6000. 0. Y 3000. 2000. 1000. 2000. 0.05. R 4000. EL IM IN. EL IM IN. 8000. A. A. R. Y. 10000. 2π production threshold 5000. PR. Nb of Counts. π0 mass. 12000. Nb of Counts. b
(15) . 0.1. 0.15. 0.2. 0.25 0.3 invariant mass (GeV). 0. 0. 0.5. 1. 1.5. 2 2.5 3 missing mass2 (GeV2 ). *]Wv@?ADhI 8uQ/IMCïEihÄ]^Pn:<DO]^:<PnE0s:<NhNi=<ClEê=Ê`AI>EOI>EOI`(AGA=EH=@PAN0]^P4EOGAIì:V^=@Dh]^stI>EHI>D¬í"`r:<NhGAI`ÒNheI>M| EODO?As DhIADhINOI>PnEHNÈ:<>]W`AIPnEg:V^N8}Ä]^v@GnEihst]^NhNO]^P)vÊs°:<NhNNOop?r:<DhI°=<C,[IõWB NM#]iNhmNhEOIsOíl:<VWV `AI>EOIMEHI` NM:<DhIK:V^st=@NhE6I®V^?)NO]W<I<8 ó6GAI6ârPA:<VrNhEOIt]^N*EOGAI6NOI>V^IMEH]W=@P=<C b6cY6dìI><IPnEHN]^P UJ[½ ½ cTO ]SRä:PA` k U[8½ ½ cTO ]HRëDhI:<MEH]^=<PANlTnm A?EOEH]WPAvu:ist]^NhNO]^P)v0s:<NON Nhop?r:<DOI>`?)E:!E*EHG)I6sI>NO=@Pì)DO=`A?A>EO]^=@PKEHGADhINOG)=@V^`È=<C{[Þ vØ¥VU³] k<W è@8¦è uI>c k 8 ü ]WEHG_EOGAIDOI>=@]WVPp?AVWI=@Pa`AIMEHI>>EH=<DONB¿=@P)Iu:<PaI>:<VW?r:EOI0EHGAIu>=@PnEg:<st]^PA:EH]W=@P_`A?AIiEO=DOINy| =@VW?)EH]W=@P I>LeI>E_Tpm `AIMEHI>>EH]WPAv×EOGAIEOGADOI>IRb6cY6dr:<DhEO]^>V^INt]^P%EHG)IârPr:VN¥Eg:EOI<8ðó6GAIRDOI>NO?AV¦EH]WPAv >=@PnEg:<st]^Pr:!EH]^=<P4=<ClEOGAIìIM>V^?ANh]W@Iìm]WIV^`4Tpm4]^PA>V^?ANh]W<IqADh=>INONhIN]^NTeI>V^=ê { @ 8 *]^v<?ADOI ÈNOGA=êÄN EOGAI JU [½ ½¬c O ]HRò'B kgU [8½ ½¬c O ]SR st]^NhNO]^P)v-s:<NhNkNhop?r:<DOI>`ñNO"IMEHDO:4:<PA`(EHG)I]^D`A]¦LI>DOI>PAIm]^IVW`A]^P)v EOGAIPAI?)EODO=@P(>=@PnEHDO]WTA?)EO]^=@P 8qU=êI>@I>DB´=@PAIÈNhGA=@?AVW`9:V^NO=Ê>=@PANh]^`AI>DiEHGAIÈ"=@NONh]^TAVWIìIM]WNhEHI>PAIt=<C: >=@GAIDhIPnE`AI?)EOIDh=@Pã>=@PnEHDh]^TA?)EO]^=@P8×wPòC:<>EBÀEOGAIDhI-:<DOI_EOGAI=@DhI>EO]^:VF]^PA`)]^:!EH]^=<PANÊçè{éFEOGr:EÈEOGAI ADh=`)?A>EO]^=@P=<C/:kDOI:V")GA=<EH=<PtêÄGA]WV^IÄæ<I>IA]WPAvÈ:k`AI?)EOIDh=@P°]WPtEOGAIârPA:<V¿NhEg:!EHI:<P=@PnEHDh]^TA?EHINO]^v!| PA]¦âr:PpEOVWmKEH=iEHG)I)GA=<EH=<PtI>V^I>>EHDh=@ADh=`A?)>EH]W=@PÈo X Dh=@NONX NhI>EO]^=@P8*ó´=kgG)IgæìEHG)]^NlGnme=<EOGAINh]^N>BpêIÄAV^=E EOGAIiGAI>V^]^>]WEmn|`)I"IPA`AI>PnEFPp?AsìT"ID=<C/=<?APnEHN [ n n n ]C =<DÀEê=ì`A]¦LI>DOIPnE[DOIv<]^=@PANÀ=<C/EOGAI0st]^NhNO]^P)v s:<NON [ *]^v@?)DOI ÈBADh]^v@GnÁE ]®8ló6GAIDOI>NO?AV¦EHN:<DOIuNhGA=êÄP4]WPa *]^v@?)DOIu)8Àbi?AIiEO==@?AD6:V^?)V\:EO]^=@P_=C·EOGAI st]^NhNO]^P)vs:<NONkNOop?r:DOI`ò=mC k®U [8½ ½¬c O ]SR I><IPnEHN>B EHGAI=@G)IDOI>PnEì`AI>?)EHI>DO=@PñIM@I>PpEON:<DOItIM"IMEHI` EO=T"Ik:?E ARÞ k vx r z8À *]^v<?ADOINOGA=êÄNEHGr:E6EOGAIDhIq:DOIuEê[=t=<PpEODO]WTA?)EH]W=@PAN6êÄ]WEOGÊEê[=`A]WLeIDhIPnE :<N¥msstI>EODhmNO]^v<PAN8ió6G)IìPAI?EHDO=<P(:<NhmstsIMEHDhm-]WN0=<C=@)e=@Nh]WEOIKNh]^v@P4EO=°EHG)IìADO=EH=@PÒ:NhmsstI>EODhm<B :<NÄADhI`A]W>EOI`-Tpma`)]WLeIDOI>PnEst=`AIVWN8. Ù-áÞtÛÒáJIà&SÚÞtÛ NÊÛß ÞtàaÜI6Þ_Þ[ZUS ó6GAI°b6cY6dÒIMeI>DO]WsI>PpEk=@PÒEOGAIPAI?)EODO=@PÑ]^Nk:<P(I®))V^=@DO:EH=@D¥mRI®)"IDh]^stIPnEêÄ]WEOG(EOGAIv@=n:<V·EH= EOINhEÊEOGAI4"=@NhNO]^T)V^I4I®]^NhEOIPA>IÒ=<Ck:ñb6cY6d NO]^v<Pr:<VÄ=@P EHG)IRPAI?EHDO=<P 8 wP EHG)]^N°I®eI>DO]^stIPnEBÄêI ê=@DOæã:E:9)DOI>]^NhIVWm `AIMârPAI>` æp]^PAI>s°:EO]^> N [Bu ¡
(16)  ¦B jkÊ:<PA] ` \ ]t:<P)` :E°:9GA]Wv@GVW?Ast]^PA=@Nh]WEm<BÀEOGAI `AIMEHI>>EH=<DONÈT"I]^P)v4]^P9`A]^DhIMEq]^IMêû=<C6EHGAItEg:<Dhv@I>E8Òd"I>]\:<VW]^;>I`×I>V^I>>EHDh=@PA]WNK:<PA`òIop?A]WAstIPnEÈ:<DhI ?ANhI`ìEO=0st]^PA]Ws]W;I Tr:gæv<DO=@?AP)`È:<PA`Ks°:<]WPnEg:<]WPK:DOI:<NO=@PA:<TAV^IÀDOI>NO=@VW?)EH]W=@Pk`A?ADO]WPAvEOGAI[I®eI>DO]^stIPnE8 ó6GAIârDhNhE=<PAVW?ANO]W=@P(]^Nu]^P)NhEHDh?AstIPnEg:<V hêÄ]¦EHGÒEHGAItQ|yU}0dR=<CU:<V^V Xû:PA`Ñ:<P(IV^I>>EODO=@s:<v@PAIMEH]W :<V^=@Dh]^stI>EOIDB=@PAI(Gr:<N-IP)=@?Av@GðDOI>NO=@VW?)EH]W=@PðEO=%NOIVWIME4I®)>V^?ANh]W<Iñb6cY6dðI><IPnEHN4:<PA`&sI:<NO?ADhI Y.
(17) ;¬®¯-±°U² 7.i" ³-´13 µ¶® $·!#¸# «C7.$6¹O $A8$ 6# $6º%')(>*,-4-0/. È. * ]^v<?ADOI0)8À7]^NhNO]WPAvs°:<NhNFNOop?r:DOI`-=<C*U[8½ ½¬c O ]HR IM@IPnEON8Àó6GAIuEê[=tNO=@?)DOI>NÄ=<C·bÄcY6dÊ=@PnEH:<s| ]^Pr:!EH]^=<Pa:<DOIksI>NO=@P)N0ADh=`A?)>EH]W=@P[NhEH:<DhEO]^PAv:E W è@8Wè uI>c k ]6:<P)`WNM=@PnEg:s]WPr:EH]W=@PA[N¥Eg:<D¥EH]^P)v :E6EHG)IkPp?A>V^I>=@Ps:<NhN ]M8lX>]^`AI>PpEH:<V/=<PpEODO]WTA?)EH]W=@PA[v@DhII>P]F]^N6NOs:<VWVº8 EHGAI4GAIVW]^]¦Em `AI"IPA`)IPA>I9=<Ckb6cY6d Dh=@NONÊNhI>EO]^=@P)N8Zó6GAIÒNOI>=@PA` >=@PAVW?ANO]W=@P =<PAI>DOPANÊEHG)I e=<NONO]WTA]^VW]WEmÄEH=stI:<Nh?ADOIÀ:<>?ADO:EHI>VWm:6V^]WPAI:D =@sqTA]^Pr:!EH]^=<Pu=<CrjbiN´:<PA`EHGAI>DOI>C =<DOI=@P)NhEHDO:<]^PEHG)I ú jb Tnm-NhEO?A`)m]^PAv°bÄcY6d-=@PEOGAIKP)I?)EODO=@P 8Äó6GAIC I:NO]^T)]^V^]¦Em_=<Cl:<P4I®)"IDh]^stIPnEg:V·:AADO=@:<gG =@str:<Dh]^PAvtstI:<Nh?ADOI>sI>PpEON0C DO=<s Gnm`ADh=@v@IPÑ:<P)`R`AI?EHIDh]^?AsëEg:DOv@IMEHN0GA:<NiT"IIPÒ`)Ist=@PANhEODH:EOI` 8 ü×I0:<V^Nh=qNhGA=êðEOGr:EFbÄcY6d=<P°EHGAI0=@GAI>DOI>PpEF`AI?)EOIDh=@PÊ:<P°TeIsI:<NO?ADhI`a:EÀEHG)IiNH:<stIÄEH]^stITpm EHGA]WN6sIMEHGA=` 8 ó6GA]^NIM"IDO]WsI>PnEi]^NEH=_T"IKC =<V^V^=êI`RTnm=<EHG)IDC ?EH?ADhIìIM"IDO]WsI>PnEHNi?)EO]^VW]^;]WPAvÈEHGAIKNH:<stIìNh]^stAV^I Iop?A]WAsI>PnE8ÊX V\:<Dhv@IDæp]^PAI>s°:!EH]^>Ns°:<)A]^PAva]WNKPAI>I`AI>`×EH=v@I>EKst=@DOIt]^P)C =<DOs:EH]W=@PÒ:<PA`×GAIPA>I s=<DOIÈ=<PANhEODH:<]WPpEON=@PÑEOGAIPAI?EHDO=<P×:<P)`ÑEOGAIP?)V^I>=@Pòjb ]WP(v@IPAI>DH:<V#8Èó6GA]^NIML=@D¥EêÄ]^V^V*V^I:` EH=Ê:s=@DhIq>=@s)V^I>EOIK>=@stADOI>GAIPANh]^=@PÒ=ClEHGAIìPp?A>V^I>=@PÒADO=<eI>DhEH]WINNO?AgGÑ:<N0EOGAIq>=@ste=@Nh]WEO]^=@P-=<C Pp?AVWI=@PaNO)]^P 8. Ý9F4^mFiÝ FuÛ(áFS è@8Å}8¿U=C NhEg:`)EHI>DBrX0P)P 8¿}IM"8¿x?A>Vº8"d>]º8+_U[¥èô ³]6z<{)è@8 z8 J)8¿ rDh]^I`)s°:<Pa:PA`4Uka8 `uIPA`A:<V^V#BAX0PAP8¿}IMe8¿x?AV#8¿d>]º8 EE [yèô³È@z ]6z@{)8 {)c 8 bq8 bì8"J<]#BrjlGnmN>8"}IMe8¿Q/IMEOEd8 _fe×[yèô@³ô È ][)è)8 öA8Åbì8r7?AIVWV^I>DBrbì8)}=@TA:<NOgGA]Wæ¿B e08¿uI>m@I>DB¿ [8r798¿bi]WEhEHIN>BA:<P)`4J)8¿U=@DOI®fhNO]#BA r=@DhEONOgGAD>8¿jlGpmN>8 LE [8Åj´yè8 ô@jÈô<³ö g8 ]0e[èI>)Dh èEH]WíAP XKB·8îY0cq8S8¿U}m:`A`)I®m|÷?Aü9NOGADOæp]^v<]WP GpEB¿B*jl Gp8SmN>d)8:<}ÄTr:!I>EH"]M8I 'Bgß YÄYi8 h c[¥=<è?)ô@EHô³]WÈ ID] @I>EK z:<öAV#88WB´J<IMLI>DONO=<PñQS:<T9jDh=@"=@NH:<V Bk+=ml F Ø k+h [ºz<@<³{ ]M8 )8 7Ñ8ebi]WIGAV#BAóu8e=<?ANONhI>EB e08"jl]^DhIK:PA`ÒJ)8¿j´8e}:<VWNhEH=<P B¿jlGpmN>8Q/I>EhEQ8 n L´Ø¿Ø [¥èô<³ô È ]ièô@6{ ífbq8 bì8 È)8Î8 XKJ<7-]S8î=cq:`APA8 I>`Re[V C J)I=@VWQ8 ]WV^EOVWoi=NOænêÄNhTem@]^B¿PA=@DhqvbìPA8¿`ÈI<7-B¿8"jlu?AGnI=mVWI>V^NIæ<8"D>IBr}ÄB":<I>79PA"`-88îcqgß Xq8¿Y f8j·e`=@V¦]W[¥mnDOè:<gô@GAæô<=P)³ -I][D:<B¿@PAxô<`4ö@?A)79èV#)8¿8A8 jlcÀGp:<mPAN>`A+8 I>n DOGrh:EiIpv@GA[#I>z<P @B"njl z ]FDO=@{nvAz<8A{)j*8 :<D¥E8¿x?)Vº8 jlGnmN8 L _[ºz<@ è ][ön)è@8)wsAVWIstIPnEg:!EH]^=<PÊTpm-Ql8"7=<NONIq :<PA`:<`r:<Eg:EO]^=@PÊEH=EHG)IkP)I?)EODO=@PTpm.
(18) "!# $&%')(+*,-.-0/213 -4-5)() 6878 $9$:<;>=31@?A13 -.-B)(6 C67D $. 40000. IM IN A R Y. Nb of Counts. b
(19) 35000. 30000. PR EL. 25000. d(e,e’γ)X. nucleon mass. 20000. 15000. p(e,e’γ )X. 10000. 5000. 0. *]Wv@?ADhI È8ÊQ/I>CïiE hKs]WNONh]^PAvas:<NONkNOop?r:<DhI`ñ=C6U [8½ ½¬c O ]SR :<PAA ` kgU [8½ ½¬c O ]HRñ8_}Ä]^v@GniE hk`A]¦LI>DOIP)I T"I>EêII>PtEOGAI[Eê=k)DOI>]W=@?AN NheI>>EHDO:iv@]W]WPAviPAI>?)EHDh=@P:<PA`ìEOGAIF=<GAIDhIPnE`AI?EHIDh=@PÈ=<PpEODO]WTA?)EH]W=@PANøí =@P)IiIM"I>E6:q`A=@st]^Pr:PAI=<C/=<GAIDhIPnEÄ`AI?EHIDh=@PÊI><IPnEHN6]WP°EHG)I0?Eh|gè0DOIv<]^=@PÊ:PA`Ê:q`A=<s]WPr:<PA>I =<C*PAI?EHDO=<PIM@IPnEON0]^P_EOGAI?)E¥|¥zÈDOI>v@]^=@P8 0.4. 0.6. 0.8. 1. 1.2. 1.4. 1.6 1.8 M2x (GeV2). 1000. N+ - N. N+ - N. -. 0.2. -. 0. 600. 800. 600. 400. 400. 200 200. 0. 0. 0. 0. -200 -200. -400. -400. -600. PRELIMINARY. -600. 0. 1. 2. 3. 4. 5. PRELIMINARY. -800. 6 φ (rad). -1000. 0. 1. 2. 3. 4. 5. 6 φ (rad). *]Wv@?ADhI°)8Q/I>Cï¬E hÈ=@?APnEO]^PAv4:<NhmstsIMEHDha m [:<DOTA]¦EHDO:<Dhm(?AP)]WEHCN ]]WP9EOGAI_DOI>v@]^=<PÑêÄGAI>DOI°êI_I®)"IME: A` =<s]WPr:<PA>Ik=C =<GAIDhIPnEi`AI>?)EHI>DO=@P4I>@I>PnEHN8Ä}Ä]^v<GpE¬h>=@?APnEH]WPAv:<NhmstsIMEHDhm_]^PaEHGAIkDOI>v@]^=@PaêÄGAI>DOI êIKI®eI>>E0:`)=@s]WPr:<PA>Iu=<C·PAI?)EODO=@P-I><IPnEHN>8 [8"d):<Tr:!EH]MI 8 ô)8 Y08"7? PAù =@;®|¥YF:<s:<gGA=I>E:<V#8WBdrHsut vxwQyzt{}|~/av6 è8/Xq8rX0VW=@DhPaI>E:<Vº8¦Brx?AV#8AwPANhE8¿:<PA`47I>EOG 8 NYEE B"z<ô<öW[#z<@<ö¾]®8 è@è<8S [8¿ rI]^P)NhEHI>]^P BAx?A>Vº8AwPAN¥E8¿:<P)`R7IMEHG 8 NYakaL B"z O[ºz<@<{³]M8 èz8/Xq8"YF:<stNO=@P)PAI<B¿bi=>EO=@DH:EFó6GAINh]^NB"PA]W<IDONh]WEI eV\:<]WNOIuj·:<NO:<VºB¿ rDH:PAIØ[ºz@ ]®8 è{8S [8¿YF:<PA=)B e08rjl]^DhI<B Yl?AD>8rjlGnmN>8eJ)8 N mØ p [ºz@<ö¾]önz<{6í)XK8a`u]^DhgGAPAID>Brbì8¿7 ?A VWV^I>DB Y?)D8rjlGnmN8 J)8 á =E [ºz@<¾ö ]F{<³ö È8.
(20)
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