MeAsurement of F 2 n /F 2 p, d/u RAtios and A=3 EMC Effect in Deep Inelastic Electron Scattering Off the Tritium and Helium MirrOr Nuclei Roy Holt for.

Slides:



Advertisements
Similar presentations
Hall A Experiments on Nuclear Few-Body Form Factors * The Few-Body Nuclear Systems The deuterium nucleus is comprised of two nucleons: one proton and one.
Advertisements

Measuring the Neutron and 3 He Spin Structure at Low Q 2 Vincent Sulkosky for the JLab Hall A Collaboration College of William and Mary, Williamsburg VA.
Target Fragmentation studies at JLab M.Osipenko in collaboration with L. Trentadue and F. Ceccopieri, May 20,SIR2005, JLab, Newport News, VA CLAS Collaboration.
Tritium Target 9 December Overview Design and major subsystems Thermal/structural analysis Cell filling Vent and stack T2 detection and monitoring.
1 First Measurement of the Structure Function b 1 on Tensor Polarized Deuteron Target at HERMES A.Nagaitsev Joint Institute for Nuclear Research, Dubna.
MeAsurement of F 2 n /F 2 p, d/u RAtios and A=3 EMC Effect in Deep Inelastic Electron Scattering Off the Tritium and Helium MirrOr Nuclei J. Gomez for.
Disentangling the EMC effect ? Eli Piasetzky Tel Aviv University, Israel The EMC effect is 30 years old.
DESY PRC May 10, Beyond the One Photon Approximation in Lepton Scattering: A Definitive Experiment at DESY for J. Arrington (Argonne) D. Hasell,
Parton Distributions at High x J. P. Chen, Jefferson Lab DNP Town Meeting, Rutgers, Jan , 2007  Introduction  Unpolarized Parton Distribution at.
The Size and Shape of the Deuteron The deuteron is not a spherical nucleus. In the standard proton-neutron picture of this simplest nucleus, its shape.
BONUS (Barely Off-Shell Nucleon Structure) Experiment Update Thia Keppel CTEQ Meeting November 2007.
Richard MilnerDESY April 6, OLYMPUS Overview Motivation for the experiment Progress to date on the experiment The path forward.
African Summer School 2012 Connecting the SRC & EMC Effects by.
Coulomb distortion in the inelastic regime Patricia Solvignon Argonne National Laboratory Work done in collaboration with Dave Gaskell (JLab) and John.
Tritium Target at JLab Roy J. Holt Tritium Target Task Force: E. J. Beise (Univ. of Maryland), R. J. Holt (ANL), W. Korsch (Univ. of Kentucky), T. O’Connor.
Electron-nucleon scattering Rutherford scattering: non relativistic  scatters off a nucleus without penetrating in it (no spin involved). Mott scattering:
Does a nucleon appears different when inside a nucleus ? Patricia Solvignon Argonne National Laboratory Postdoctoral Research Symposium September 11-12,
Measurements of F 2 and R=σ L /σ T on Deuteron and Nuclei in the Nucleon Resonance Region Ya Li January 31, 2009 Jlab E02-109/E (Jan05)
Experimental Approach to Nuclear Quark Distributions (Rolf Ent – EIC /15/04) One of two tag-team presentations to show why an EIC is optimal to access.
A High Precision Measurement of the Deuteron Spin-Structure Function Ratio g 1 /F 1  Motivation  Proposed Experiment  Expeced Results Co:spokespersons:
Hadrons in the Nuclear Medium. I. QCD dynamics of Hadron-Hadron Interaction I. QCD dynamics of Hadron-Hadron Interaction IV. Protons in the Superdense.
Overview of unpolarized structure function measurements at high x Roy J. Holt Jefferson Lab 13 October 2010.
From the nucleus to the quarks Roy J. Holt Achievements and Future Directions in Subatomic Physics: A Workshop in honor of Tony Thomas’ 60 th birthday.
P Spring 2003 L9Richard Kass Inelastic ep Scattering and Quarks Elastic vs Inelastic electron-proton scattering: In the previous lecture we saw that.
The Hall A Tritium target program John Arrington Argonne National Lab Joint Hall A & C Summer Collaboration Meeting Newport News, VA July 17,2015.
Parton Model & Parton Dynamics Huan Z Huang Department of Physics and Astronomy University of California, Los Angeles Department of Engineering Physics.
Eli Piasetzky Tel Aviv University, Israel Free neutron structure function Work done in collaboration with: L. B. Weinstein (ODU) D. Higinbotham, J. Gomez.
Spin-Flavor Decomposition J. P. Chen, Jefferson Lab PVSA Workshop, April 26-27, 2007, Brookhaven National Lab  Polarized Inclusive DIS,  u/u and  d/d.
1 Nuclear Physics and Electron Scattering. 2 Four forces in nature –Gravity –Electromagnetic –Weak –Strong  Responsible for binding protons and neutrons.
Particle Physics Chris Parkes Experimental QCD Kinematics Deep Inelastic Scattering Structure Functions Observation of Partons Scaling Violations Jets.
Precision Measurement of R L and R T of Quasi-Elastic Electron Scattering In the Momentum Transfer Range 0.55GeV/c≤|q|≤1.0GeV/c* Yan Xinhu Department of.
Duality: Recent and Future Results Ioana Niculescu James Madison University Hall C “Summer” Workshop.
Spin structure of the nucleon
Inelastic scattering When the scattering is not elastic (new particles are produced) the energy and direction of the scattered electron are independent.
Measurement of F 2 and R=σ L /σ T in Nuclei at Low Q 2 Phase I Ya Li Hampton University January 18, 2008.
EMC effect in few-body nuclei at large x Patricia Solvignon Argonne National Laboratory Elba X Workshop Electron-Nucleus Scattering X June 23-27, 2008.
Sub-Nucleon Physics Programme Current Status & Outlook for Hadron Physics D G Ireland.
General Discussion some general remarks some questions.
A Measurement of Two-Photon Exchange in Unpolarized Elastic Electron-Proton Scattering John Arrington and James Johnson Northwestern University & Argonne.
Measurements with Polarized Hadrons T.-A. Shibata Tokyo Institute of Technology Aug 15, 2003 Lepton-Photon 2003.
The BoNuS Experiment at Jefferson Lab’s CLAS. Svyatoslav Tkachenko University of South Carolina for the CLAS collaboration.
Measuring the Spin Structure of 3 He and the Neutron at Low Q 2 Timothy Holmstrom College of William and Mary For the Jefferson Lab Hall A Collaboration.
E Precision Measurement of the Neutron Magnetic Form Factor up to Q 2 =13.5 (GeV/c) 2 by the Ratio Method B. Quinn, J. Annand, R. Gilman, B. Wojtsekhowski.
Model independent extraction of neutron structure functions from deuterium data. Svyatoslav Tkachenko University of South Carolina.
Dual Target Design for CLAS12 Omair Alam and Gerard Gilfoyle Department of Physics, University of Richmond Introduction One of the fundamental goals of.
Thomas Jefferson National Accelerator Facility PAC-25, January 17, 2004, 1 Baldin Sum Rule Hall C: E Q 2 -evolution of GDH integral Hall A: E94-010,
Measurement of Flavor Separated Quark Polarizations at HERMES Polina Kravchenko (DESY) for the collaboration  Motivation of this work  HERMES experiment.
Ibrahim H. Albayrak, Hampton University Group Meeting Experiment Rosen07: Measurement of R =  L /  T on Deuterium in the Nucleon Resonance Region. 
1. How to probe the quarks? Scatter high-energy electron off a proton: Deep-Inelastic Scattering (DIS) Highest energy e-p collider: HERA at DESY in Hamburg:
New Measurement of the EMC effect for Light Nuclei and Global Study of the A-Dependence Patricia Solvignon Argonne National Laboratory ECT 2008 Workshop.
Nucleon spin physics with CLAS at Jlab Fifth International Conference on PERSPECTIVES IN HADRONIC PHYSICS Particle-Nucleus and Nucleus-Nucleus Scattering.
DIS-Parity: Measuring sin 2 θ W with Parity Violation in Deep Inelastic Scattering using Baseline Spectrometers at JLab 12 GeV Paul E. Reimer.
E-906/SeaQuest: Parton Energy Loss and Antishadowing Benjamin W. Miller of Abilene Christian University For E-906/SeaQuest Abstract In addition to measuring.
The EMC Effect and The Quest to High x Quark Distributions Patricia Solvignon Argonne National Laboratory Hall C seminar Jefferson Lab April
CLAS Collaboration at Jefferson Lab Deuteron Spin Structure function g 1 at low Q 2 from EG4 Experiment Krishna P. Adhikari, Sebastian E. Kuhn Old Dominion.
Understanding the 3 He Nuclei: Asymmetry Measurements in Quasi- Elastic Ge Jin University of Virginia For the E Collaboration.
In the SM to the first order x: variable relevant to the nucleon internal structure Q 2 : Four-momentum transfer squared between the electron and the target.
Timelike Compton Scattering at JLab
HERa MEasurement of Spin
John Arrington Argonne National Lab
JLab MARATHON Experiment - Update
Short Range NN Correlations (from Inclusive Cross Sections)
Prospects for electron scattering from the triton Roy J. Holt
Wide Angle Compton Scattering
Nadia Fomin University of Virginia
Precision Measurement of η Radiative Decay Width via Primakoff Effect
Deep Inelastic Parity Robert Michaels, JLab Electroweak Physics
Study of Strange Quark in the Nucleon with Neutrino Scattering
Scaling Study of the L-T Separated p(e,e’π+)n Cross Section at Large Q2 Tanja Horn Jefferson Lab APS/DNP meeting 2007 DNP07 October 2007.
Duality in Nuclei: The EMC Effect
Presentation transcript:

MeAsurement of F 2 n /F 2 p, d/u RAtios and A=3 EMC Effect in Deep Inelastic Electron Scattering Off the Tritium and Helium MirrOr Nuclei Roy Holt for Makis Petratos for the JLab MARATHON Collaboration HiX October 14, 2010 Jefferson Lab (JLab Conditionally Approved Experiment E )

PAC36: Conditional approval based on detailed detector design Previous conditional approval by PAC30 on “review of safety aspects of 3 H target” removed!

N e e’e’ Q2Q2 γ★γ★ X Electron-Nucleon Deep Inelastic Scattering (DIS): Interaction is mediated via exchange of a virtual photon absorbed by one of the nucleon’s quarks. Nucleon breaks up into several X hadrons.

Cross Section – Nucleon structure functions F 1 and F 2 : Quark-Parton Model (QPM) interpretation in terms of quark probability distributions q i (x) (large Q 2 and ν): Bjorken x: fraction of nucleon momentum carried by struck quark: DIS and Quark Parton Model

Assume isospin symmetry: Proton and neutron structure functions: Nachtmann inequality: F 2 n /F 2 p in Quark Parton Model

SLAC Measurements End Station A Friedman, Kendall, Taylor Nobel 1991 F 2 n /F 2 p extracted from proton and deuterium deep inelastic data using Hamada-Johnston potential in a Fermi-smearing model. Data in disagreement with SU(6) prediction: 2/3=0.67!

Nachtmann inequality satisfied: For x → 0 : F 2 n /F 2 p → 1: Sea quarks dominate with: For x → 1 : F 2 n /F 2 p → 1/4: High momentum partons in proton (neutron) are up (down) quarks, and: For medium and high x, safe to assume that (with d and u denoting now quark plus antiquark distributions): SLAC/MIT and (later) CERN Data

Craig Roberts, Argonne National Laboratory 8 Neutron Structure Function at high x Reviews:  S. Brodsky et al. NP B441 (1995),  W. Melnitchouk and A.Thomas PL B377 (1996) 11  N. Isgur, PRD 59 (1999)  R. J. Holt and C. D. Roberts RMP (2010) I.C. Cloët, C.D. Roberts, et al. arXiv: [nucl-th] SU(6) symmetry pQCD 0 + qq only DSE: 0 + & 1 + qq

EMC Effect Nuclear F 2 structure function per nucleon is different from that of deuterium: large x and A dependence. Quark distribution functions modified in the nuclear medium. No universally accepted theory for the effect. A=3 data will be pivotal for understanding the EMC effect. Theorists: Ratio of EMC effect for 3 H and 3 He is the best quantity for quantitative check of the theory, free of most uncertainties.

A Dependence EMC Effect SLAC E-139, 1984 J. Gomez et al. Nucleon momentum probability distributions in nuclei different from those in deuterium. Effect increases with mass number A.

Structure Function Ratio Problem  Convolution model –Fermi motion and binding, covariant deuteron wave function, off-shell effects Melnitchouk and Thomas (1996)  Nuclear density model: –EMC effect for deuteron scales with nuclear density. Frankfurt and Strikman (1988) Fermi smearing Smearing + binding Nuclear density model

The three analysis methods indicate tremendous uncertainties in high-x behavior of F 2 n /F 2 p and d/u ratios … d/u essentially unknown at large x!

Form the “SuperRatio” of EMC ratios for A=3 mirror nuclei: If R=σ L / σ T is the same for 3 He and 3 H, measured DIS cross section ratio must be equal to the structure function ratio as calculated from above equations: Solve for the nucleon F 2 ratio and calculate R* (expected to be very close to unity) using a theory model: Nucleon F 2 Ratio Extraction from 3 He/ 3 H

SuperRatio R* = R( 3 He)/R( 3 H) has been calculated by three expert groups to deviate from 1 only up to ~1.5% taking into account all known effects: * I. Afnan et al., Phys. Lett. B493, 36 (2000); Phys. Rev. C68, (2003) * E. Pace, G Salme, S. Scopetta, A. Kievsky, Phys. Rev. C64, (2001) * M. Sargsian, S. Simula, M. Strikman, Phys. Rev. C66, (2002)

The Experiment 3 He/ 3 H DIS measurements can be best run in Hall A: Beam energies: 3.3, 4.4, 5.5, 6.6, 7.7, 8.8, 11.0 GeV Scattering angle: degrees Scattered electron momentum: GeV Super BigBite (60+ msr solid angle!) and HRS systems Standard electron detection packages 1000 hrs/42 days of beam time 100% efficiency) Important to check that the ratio R=σ L /σ T is the same for 3 He and 3 H: Rosenbluth separation of cross section vs ε (degree of virtual photon longitudinal polarization) using one of the two HRS systems. Need target system with helium/tritium/deuterium cells. Normalize F 2 n /F 2 p results to low-x data (no theory error) from SLAC (overall normalization uncertainty ±0.01).

The Super BigBite (SBB) Hall A Spectrometer (shown for small angle and with hadron detection instrumentation) Large acceptance, moderate resolution Wide angular and momentum coverage

SLAC/CERN data show that the ratio R=σ L /σ T is the same for all nuclei within experimental errors 3 He/ 3 H JLab data will be of better precision than SLAC data [wider angular (ε) range!] R=σ L /σ T Measurements

Tritium target at JLab Tritium Target Task Force E. J. Beise (U. of Maryland) B. Brajuskovic (Argonne) R. J. Holt (Argonne) W. Korsch (U. of Kentucky) A. T. Katramatou (Kent State U.) D. Meekins (JLab) T. O’Connor (Argonne) G. G. Petratos (Kent State U.) R. Ransome (Rutgers U.) P. Solvignon (JLab) B. Wojtsekhowski (JLab) JLab Review: June 3, > “No direct show stopper” E G. Petratos et al PAC 36: conditionally approved 1000 Ci

Curious tritium facts Ship tritium gas Fedex, if < 1080 Ci If >0.8 g or 8 kCi, nuclear facility If >2000 psi, “tritium-assisted” embrittlement Person at site boundary (95 m), 95 th percentile meteorology for Norfolk, 8760 hours of data,100% HTO, < 3.4 mrem* All 1000 Ci inhaled (extremely unlikely scenario) –64 mrem/mCi ingested -> 3.2 rem

The Target System ( Tritium, Helium-3, Deuterium, Hydrogen, Aluminum Dummy) The 5-cell assembly Single cell Details: Conceptual Design of a Tritium Gas Target for JLab, Tritium Target Task Force, Roy J. Holt et al., May 2010.

Possible Jlab - Hall A Data for F 2 n /F 2 p and d/u Ratios

F 2 n /F 2 p Ratio and EMC Effect are Elementary Undergraduate Nuclear-Particle Textbook Physics!

Other Physics Possibilities Tritium target at Jlab opens up opportunities Deep Inelastic scattering x>1 Inelastic scattering Quasi-elastic scattering Elastic scattering Semi-inclusive scattering Collaboration has already submitted proposal for x>1. Collaboration plans to submit at least an elastic proposal after full approval of deep inelastic measurements.

Summary DIS from 3 He and 3 H with up to 11 GeV beams can provide: Measurements of F 2 n /F 2 p and d/u ratios Excellent constraint on models Crucial EMC effect data for both A=3 systems Input to light-nuclei structure theory Input to structure function parametrizations needed for inter- pretation of high energy collider and neutrino oscillations data Textbook physics experiments – benchmark data Opportunities for other large Q 2 measurements: elastic etc.

The Tritium Target System Five-cell target structure ( 1 H, 2 H, 3 H, 3 He, Al Dummy): All cells: 40 cm long, 1.25 cm diameter, 25 µA max current 3 H cell: 6.25 atm, 1000 Ci activity 1 H, 2 H, 3 He cells: 20 atm Cells will be filled at STAR Facility of Idaho National Lab. Target will be shipped to JLab using commercial services. System will be enclosed in secondary “sealed” containment vessel (no reliance on fast valves). A catastrophic leak will be vented through stack above Hall A. Resulting emission will keep tritium levels at the JLab site boundary below regulatory limits. More work to be done BUT JLab review did not find a show stopper for further development and operation of target at Jlab.

Nucleon structure function in nucleus A in the Impulse Approximation: extension of deuteron model (Melnitchouk and Thomas): For 3 He: With isospin symmetry: Then for 3 H: Charge symmetry breaking effects are small! 3 He and 3 H Structure Functions

Target F 2 n /F 2 p R=σ L /σ T Experiment 3 He H 330 D 193 Sub-Total He H 194 Sub-Total 297 TOTAL 996 hrs 42 days Beam Time Request (Hours)

32 Worst Case Accident During Installation Tritium containment breached during installation –1000 Ci of tritium lost in seconds –Worker in close proximity to target for 3 minutes before alarm –1000 Ci/10m 3 x 1.2 m 3 /h x 3/60 x mrem/Ci = 40 mrem to worker All 1000 Ci inhaled (extremely unlikely scenario) –0.005% is deposited in lungs -> 50 mCi deposited –64 mrem/mCi ingested -> 3.2 rem –JLab(DOE) annual limit is 1(5) rem TMIST-2 Experiment at INL – Kanady example –1420 Ci -> I F = 1.19E-5 -> 59.5  rem

NOTE: 1560 Ci Target Worst Case Accident During Installation (continued) Tritium containment breached in Hall A –Full instantaneous release –Polyethylene absorption rate: 0.13 mCi/s/m 2 at STP HT (J. Vac. Sci. Tech. A3 (1985) 1209) –Do nothing: reach 1000 dpm per 100 cm 2 in about 180 min –Turn on cfm exhaust after 1 hour, levels out at 650 dpm about 400 min from release Tritium absorption in concrete: 0.01 mCi/s/m 2 –11 dpm in 100 cm 2 in an hour

Worst Case Accident Tritium containment breached – with task fan –1000 Ci of tritium lost up 5-m stack in 1 hour –Person at site boundary (300 m), 95 th percentile meteorology for Norfolk, 8760 hours of data -> 0.5 mrem* –HOTSPOT, “standard worst case” meteorology: 1 m/s windspeed, class F (“stable” atmosphere, ie minimal dispersion), 1 hour sampling time, 6% immediate conversion to HTO -> 6.2 mrem** *GENII v NESHAPS – Bruce Napier, Pacific Northwest National Lab (2010) **HOTSPOT – Bruce Napier, PNNL (2010)

Standard analysis of F 2 n / F 2 p from proton and deuteron data shows large uncertainty at high-x values depending on nucleon-nucleon potential used.

EMC Effect for A=3 Mirror Nuclei Hall A data on 3 H, 3 He will be of similar precision to Hall C data

(Isgur 1999): Color-magnetic hyperfine interaction perturbs proton energy: up quarks acquire higher average energy than down quarks. Perturbation results in mixed symmetry distributions that allow the d quark to have different probability than the two u quarks. Quark pairs with spin 0 (1) have their energies lowered (raised). For x→ 1: NOTE: Quark Model agrees with Diquark model and disagrees with pQCD and Quark Counting Rules! Hyperfine-Perturbed Quark Model

SLAC DIS Data Whitlow: Density Model M&T: Convolution Model Bodek: Fermi-Smearing Paris N-N potential

F 2 n / F 2 n, d/u Ratios and A 1 Limits for x→1 F 2 n /F 2 p d/u A1n A1n A1p A1p SU(6) 2/3 1/2 0 5/9 Diquark/Feynman 1/ Quark Model/Isgur 1/ Perturbative QCD 3/7 1/5 1 1 Quark Counting Rules 3/7 1/5 1 1 A 1 : Asymmetry measured with polarized electrons and nucleons. Equal in QPM to probability that the quark spins are aligned with the nucleon spin. A 1 p, A 1 n : Extensive experimental programs at CERN, SLAC, DESY and JLab (6 GeV and 12 GeV Programs)

Target Installation – Example of Procedure Turn on Hall A exhaust fans (>24000 cfm should be sufficient) When target container is received at JLab, survey with a hand-held tritium monitor When opening the target container, survey with hand-held monitor Swipe target in several places for tritium Carefully unpack target, one person continuously surveying for tritium Remove protective covers for shipping Survey for x-rays if not done at INL Load solid targets into frame if this has not been done prior to shipment Attach W mask to target frame if this has not been done prior to shipment Attach scattering chamber top flange to target assembly if not done prior to shipment Attach crane to top flange Lift target to position directly above scattering chamber Two target-trained installers with proper ppe will carefully guide target into chamber When target is seated, remove crane and begin bolting target flange to chamber Place vent hood over target and activate exhaust fan Check target alignment, make adjustments as necessary Begin pumpdown of target in chamber after all seals have been made Begin monitoring pump exhaust for tritium Activate depleted U bed Set up MKS rad-hard RGA (QTC54537) on mass 6 peak and remote monitor/interlock Hook up target cooling, monitors and all interlocks; activate cooling and interlocks Test all monitors and interlocks Perform special checklist before leaving hall – two target operators Target should be ready for beam alignment – described in written document

Deuteron structure function convolution: Calculated in a covariant frame-work in terms of free nucleon structure functions (Melnitchouk and Thomas 1996) : Spectral function f(y) accounts for Fermi Motion AND Binding/Off-Shell Effects, where y is the fraction of the nucleus momentum carried by the struck nucleon. Density Model: EMC effect for deuteron scales with nuclear charge density as for heavy nuclei (Frankfurt and Strikman 1988, applied by Whitlow et al. 1992) : Binding/EMC Effect in Deuteron

Target Removal – Example of Procedures Turn on Hall A exhaust fan (~24000 cfm) Allow target cells to “cool” as much as possible, Al target cell will be activated, preferably for 4 days Survey target area When safe, remove all monitors, cooling and cabling Put on approved ppe Unbolt top target flange Remove vent hood and attach crane to top target flange Begin tritium monitoring with hand held monitor Carefully, lift target ladder out of the scattering chamber Swipe tritium target cell and scattering chamber for tritium Survey target cells once again away from pivot to determine activity Move target to target container area and remove W mask and top flange if necessary Attach shipping covers to target Place target ladder in target container and re-pack Seal target container, ready for shipment

Summary of Key Engineering Controls Small amount of tritium gas (1000 Ci) – MIT-Bates: 150 x larger sample –Small diameter cell with beam collimator –Super Big Bite Spectrometer All tritium handling performed offsite at Idaho National Lab Target cell completely sealed –Secondary containment with scattering chamber –Scattering chamber: fast valves to accelerator or isolated 3 He pressure is three times 3 H pressure - same beam time on each target. Target and scattering chamber will be designed for ease of installation Beam interlocks –Radiation level in Hall –Beam current –Raster (in progress in Hall A) –Target vacuum –Target coolant flow –Tritium monitor Independent vent hood and task fan in target area –High velocity task fan interlocked to tritium detection, vacuum

Proposed Administrative Controls Beam current should be limited to 30  A Overhead crane locked out after target installation Trained tritium target operators on shift at all times Beam condition, raster pattern and target parameters monitored Accelerator operators given special instructions –Independent operator check on beam current, raster, interlocks Full written and approved procedures for all operations with target All procedures to be performed and checked – two trained target operators –Target installation and removal –Target alignment –Target storage –Target motion –Beam on target

FaddeevVariational

Close (1973): Used the SU(6) proton wave function with diquark spectator configuration with spin s=1 suppressed relative to spin s=0: If ψ 1 (x) → 0 as x→ 1: Feynman/Carlitz(1975): Considered scattering probability from a quark with a spectator diquark, using Regge Theory: For x→ 1: Broken SU(6) Quark Model – Regge Theory

(Farrar/Jackson 1975): When diquark spins are aligned, only exchange of longitudinal gluons is permitted. Compton scattering amplitude is suppressed by (1-x) 1/2 factor. Quark carrying nearly all momentum of nucleon (x~1) must have same helicity as nucleon. For x→ 1 (different predictions!): Quark Counting Rules assuming exchange of hard gluons (Brodsky et al. 1995) result in same predictions. Perturbative QCD