The Electron-Ion Collider: Exploring the science of Nuclear Femtography

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1 The Nature of Hadron Mass and Quark-Gluon Confinement from JLab Experiments in the 12-GeV Era The Electron-Ion Collider: Exploring the science of Nuclear Femtography Jianwei Qiu Theory Center, Jefferson Lab July 1-4, 2018 Asia Pacific Center for Theore=cal Physics, Pohang, Korea

2 Nano-Science and Technology q Nano-Science the Idea: There s plenty of room at the bottom Feynman, APS meeting at Caltech, December 29, 1959

3 Nano-Science and Technology q Nano-Science the Idea: There s plenty of room at the bottom Feynman, APS meeting at Caltech, December 29, 1959 Applications!!! q Need tools/facilities to advance: Tools/Facilities!!

4 Nano-Science and Technology q Nano-Science the Idea: There s plenty of room at the bottom Feynman, APS meeting at Caltech, December 29, 1959 Applications!!! q Need tools/facilities to advance: Tools/Facilities!! q The Support: National Nanotechnology Initiative Nano-science (1-100 nm) Ensure the role of quantum physics NSF proposed to White House in 1999, signed into law in 2003

5 q Femto-Science: Femto-Science and Technology Femto-science ( fm)

6 Femto-Science and Technology q Femto-Science: 2-body force 3-body force XYZ-particles Femto-science ( fm) q QCD landscape of nucleon and nuclei? Color Confinement Asymptotic freedom 200 MeV (1 fm) 2 GeV (1/10 fm) Pentaquarks? Q (GeV) Probing scale

7 Femto-Science and Technology q Femto-Science: 2-body force 3-body force XYZ-particles Femto-science ( fm) q QCD landscape of nucleon and nuclei? Color Confinement Asymptotic freedom 200 MeV (1 fm) 2 GeV (1/10 fm) Pentaquarks? Q (GeV) Probing scale Need a facility to explore/see the structure and dynamics!

8 Unprecedented intellectual challenge! q The challenge: Gluons are dark! No modern detector has been able to see quarks and gluons in isolation!

9 Unprecedented intellectual challenge! q The challenge: Gluons are dark! No modern detector has been able to see quarks and gluons in isolation! q Answer to the challenge: e Theory advances: p QCD factorization σ : DIS tot xp, k T xp k T b T Color entanglement Approximation kt xp bt 1 + O QR Physical Observable Controllable Probe Quantum Probabilities Structure Experimental breakthroughs: Jets Footprints of energetic quarks and gluons Quarks Need an EM probe to see their existence, Gluons Varying the probe s resolution to see their effect,

10 Unprecedented intellectual challenge! q The challenge: Gluons are dark! No modern detector has been able to see quarks and gluons in isolation! q Answer to the challenge: e Theory advances: p QCD factorization σ : DIS tot xp, k T xp k T b T Color entanglement Approximation kt xp bt 1 + O QR Physical Observable Controllable Probe Quantum Probabilities Structure Experimental breakthroughs: Jets Footprints of energetic quarks and gluons Quarks Need an EM probe to see their existence, Gluons Varying the probe s resolution to see their effect, Need probes with sub-femtometer resolution particle nature!

11 Advantage of Lepton-Hadron Facility q Lepton-lepton collisions: Hadrons ² No hadron in the initial-state ² Hadrons are emerged from energy ² Not ideal for studying hadron structure q Hadron-hadron collisions: Hadrons q Lepton-hadron collisions: Hard collision without breaking the initial-state hadron! ² Hadron structure motion of quarks, ² Emergence of hadrons, ² Initial hadrons broken collision effect,

12 Jefferson 12 GeV Project Completion Approved September 27, 2017 All four Halls are in physics operations JLab 12 GeV science era is here! A critical step toward EIC!

13 The Electron-Ion Collider (EIC) the Future! q A sharpest CT imagine quark/gluon structure without breaking the hadron cat-scan the nucleon and nuclei with a better than 1/10 fm resolution see proton radius of quark/gluon density comparing with the radius of EM charge density To discover color confining radius, hints on confining mechanism!

14 The Electron-Ion Collider (EIC) the Future! q A sharpest CT imagine quark/gluon structure without breaking the hadron cat-scan the nucleon and nuclei with a better than 1/10 fm resolution see proton radius of quark/gluon density comparing with the radius of EM charge density To discover color confining radius, hints on confining mechanism! q A giant Microscope see quarks and gluons by breaking the hadron e p γ*, Z 0,.. Q 1/Q < 1/10 fm To discover/study color entanglement of the non-linear dynamics of the glue!

15 Many complementary probes at one facility q A new generation of Rutherford experiment: Q 2 à Measure of resolution y à Measure of inelasticity x à Measure of momentum fraction of the struck quark in a proton Q 2 = S x y

16 Many complementary probes at one facility q A new generation of Rutherford experiment: Inclusive events: e+p/a à e +X Q 2 à Measure of resolution y à Measure of inelasticity x à Measure of momentum fraction of the struck quark in a proton Q 2 = S x y Detect only the scattered lepton in the detector (Modern Rutherford experiment!) Semi-Inclusive events: e+p/a à e +h(p,k,p,jet)+x Detect the scattered lepton in coincidence with identified hadrons/jets (Initial hadron is broken confined motion! cleaner than h-h collisions) Exclusive events: e+p/a à e + p /A + h(p,k,p,jet) Detect every things including scattered proton/nucleus (or its fragments) (Initial hadron is NOT broken tomography! almost impossible for h-h collisions)

17 EIC: the World Wide Interest E CM (GeV) à proton x min 1 x x x x x10-3 à 3x x 10-3 ion p p to Pb p to U p to Pb p to U p to ~ 40 Ca polarization - - p, 3 He p, d, 3 He ( 6 Li) p, d, 3 He p,d L [cm -2 s -1 ] 2 x à IP Year (?) 2022 Post-12 GeV 2019 à 2030 upgrade to FAIR The past Possible future

18 US EIC Two Options of Realization The White Paper A. Accardi et al Eur. Phys. J. A52 (2016) 268 AGS BNL-eRHIC See A. Deshpande s talk Edited by A. Deshpande Z.-E. Meziani J.-W. Qiu JLab-JLEIC

19 US-EIC can do what HERA could not do q Quantum imaging: ² HERA discovered: 15% of e-p events is diffractive Proton not broken! ² US-EIC: times luminosity Critical for 3D tomography!

20 US-EIC can do what HERA could not do q Quantum imaging: ² HERA discovered: 15% of e-p events is diffractive Proton not broken! ² US-EIC: times luminosity Critical for 3D tomography! q Quantum interference & entanglement: ² US-EIC: Highly polarized beams Origin of hadron property: Spin, Direct access to chromo-quantum interference! p, ~s k (Q, ~s) / t 1/Q 2 (s) ( s) Quantum interference T (3) (x, x) /

21 US-EIC can do what HERA could not do q Quantum imaging: ² HERA discovered: 15% of e-p events is diffractive Proton not broken! ² US-EIC: times luminosity Critical for 3D tomography! q Quantum interference & entanglement: ² US-EIC: Highly polarized beams Origin of hadron property: Spin, Direct access to chromo-quantum interference! p, ~s k (Q, ~s) / t 1/Q 2 (s) ( s) Quantum interference T (3) (x, x) / q Nonlinear quantum dynamics: ² US-EIC: Light-to-heavy nuclear beams Origin of nuclear force, Catch the transition from chromo-quantum fluctuation to chromo-condensate of gluons, Emergence of hadrons (femtometer size detector!), a new controllable knob Size of nuclei

22 EIC Science & Overarching Questions q How did hadrons, the building blocks of visible world, emerge from quarks and gluons? Necessary knowledge for understanding where and how did we come from? q What is the internal structure of hadrons, and the dynamics behind the structure? Necessary knowledge for understanding what are we made of, and what hold us together, as well as how do we improve and move forward? q What is the key for understanding color confinement? Necessary knowledge for understanding What is the mother nature of the nonlinear, strongly interacting dynamics of color force?

23 Emergence of Hadrons from quarks & gluons q Femtometer sized detector: = Q2 2mx Control of ν and medium length! Mass dependence of hadronization

24 Emergence of Hadrons from quarks & gluons q Femtometer sized detector: = Q2 2mx D 0 Control of ν and medium length! Mass dependence of hadronization q Apply to heavy-ion collisions: π Need the collider energy of EIC and its control on parton kinematics

25 Hadron Properties: Mass & Spin, q Mass intrinsic to a particle: = Energy of the particle when it is at the rest ² QCD energy-momentum tensor in terms of quarks and gluons ² Proton mass: GeV Higgs Mech. m q ~ 10 MeV m N ~ 1000 MeV Mass without mass

26 Hadron Properties: Mass & Spin, q Mass intrinsic to a particle: = Energy of the particle when it is at the rest ² QCD energy-momentum tensor in terms of quarks and gluons ² Proton mass: q Spin intrinsic to a particle: GeV Higgs Mech. m q ~ 10 MeV m N ~ 1000 MeV Mass without mass = Angular momentum of the particle when it is at the rest ² QCD angular momentum density in terms of energy-momentum tensor ² Proton spin: EMC found: X ( q + q) q 0.12 ± 0.17 Proton spin puzzle

27 Hadron Properties: Mass & Spin, q Mass intrinsic to a particle: = Energy of the particle when it is at the rest ² QCD energy-momentum tensor in terms of quarks and gluons ² Proton mass: q Spin intrinsic to a particle: GeV Higgs Mech. m q ~ 10 MeV m N ~ 1000 MeV Mass without mass = Angular momentum of the particle when it is at the rest ² QCD angular momentum density in terms of energy-momentum tensor ² Proton spin: EMC found: X ( q + q) q 0.12 ± 0.17 Proton spin puzzle If we do not understand proton mass & spin, we do not understand QCD!

28 The Proton Spin q The sum rule: S(µ) = X f P, S Ĵ z f (µ) P, S = 1 2 J q (µ)+j g (µ) Infinite possibilities of decompositions connection to observables? Intrinsic properties + dynamical motion and interactions q An incomplete story: Proton Spin 1 2 = G +(L q + L g ) Jaffe-Manohar, 90 Ji, 96, Quark helicity Best known 30% Gluon helicity Start to know 40%(with RHIC data) Orbital Angular Momentum of quarks and gluons Little known Net effect of partons transverse motion?

29 The Proton Spin q The power & precision of EIC: Polarized DIS at EIC q Reach out the glue:

30 The Proton Spin q One-year of running at EIC: Wider Q 2 and x range including low x at EIC! Before/after No other machine in the world can achieve this!

31 q One-year of running at EIC: The Proton Spin Wider Q 2 and x range including low x at EIC! Before/after No other machine in the world can achieve this! q Ultimate solution to the proton spin puzzle: ² Precision measurement of Δg(x) extend to smaller x regime ² Orbital angular momentum contribution? internal motion & structure encoded in TMDs & GPDs!

32 Hadron s partonic structure in QCD q Structure a still picture Crystal Structure: Nanomaterial: NaCl, B1 type structure FeS2, C2, pyrite type structure Fullerene, C60 Motion of nuclei is much slower than the speed of light!

33 Hadron s partonic structure in QCD q Structure a still picture Crystal Structure: Nanomaterial: NaCl, B1 type structure FeS2, C2, pyrite type structure Fullerene, C60 Motion of nuclei is much slower than the speed of light! q No still picture for hadron s partonic structure! Partonic Structure: Motion of quarks/gluons is relativistic! Quantum probabilities hp, S O(,,A µ ) P, Si None of these matrix elements is a direct physical observable in QCD color confinement!

34 Hadron s partonic structure in QCD q Structure a still picture Crystal Structure: Nanomaterial: NaCl, B1 type structure FeS2, C2, pyrite type structure Fullerene, C60 Motion of nuclei is much slower than the speed of light! q No still picture for hadron s partonic structure! Partonic Structure: Motion of quarks/gluons is relativistic! Quantum probabilities hp, S O(,,A µ ) P, Si None of these matrix elements is a direct physical observable in QCD color confinement! q Accessible hadron s partonic structure? = Universal quantum matrix elements of quarks and/or gluons 1) can be related to good physical cross sections of hadron(s) with controllable approximation, 2) can be calculated in lattice QCD,

35 3D confined motion and spatial distribution q 3D boosted partonic structure: Momentum Space xp k T Coordinate Space TMDs b T GPDs d 2 b T d 2 k T Confined motion Spatial distribution f(x,k T ) Two-scales observables f(x,b T )

36 3D confined motion and spatial distribution q 3D boosted partonic structure: Momentum Space TMDs Confined d 2 b T Why motion is diffraction so great? distribution P f(x,k T ) xp 3D momentum space images k T b T Two-scales observables d 2 k T f(x,b T ) Coordinate Space GPDs Spatial 2+1D coordinate space images Q >> P T ~ k T γ 1 z r (1 z) r V = J/ψ, φ, ρ z Exclusive DIS x x b Q >> t ~ 1/b T Semi-inclusive DIS p p JLab12 valence quarks, EIC sea quarks and gluons

37 3D confined motion and spatial distribution q 3D boosted partonic structure: Momentum Space TMDs Confined motion Sivers Function d 2 b T f(x,k T ) xp k T b T EIC white paper: EPJ A52 (2016) 268 d 2 k T f(x,b T ) Coordinate Space GPDs Spatial distribution Imaging Density distribution of an unpolarized quark in a proton moving in z direction and polarized in y-direction Spatial density distributions radius

38 Why 3D nucleon structure? q Spatial distributions of quarks and gluons: Static Boosted Bag Model: Gluon field distribution is wider than the fast moving quarks. Gluon radius > Charge Radius Constituent Quark Model: Gluons and sea quarks hide inside massive quarks. Gluon radius ~ Charge Radius Lattice Gauge theory (with slow moving quarks): Gluons more concentrated inside the quarks Gluon radius < Charge Radius

39 Why 3D nucleon structure? q Spatial distributions of quarks and gluons: Static Boosted Bag Model: Gluon field distribution is wider than the fast moving quarks. Gluon radius > Charge Radius Constituent Quark Model: Gluons and sea quarks hide inside massive quarks. Gluon radius ~ Charge Radius Lattice Gauge theory (with slow moving quarks): Gluons more concentrated inside the quarks Gluon radius < Charge Radius 3D confined motion (TMDs) + spatial distribution (GPDs) Hints on the color confining mechanism Radius of Charge, Radius (x) of quark/gluon distribution?

40 Emergence of nuclear force? q Nature of nuclear force: A B q Range of color force: If we only see quarks and gluons, Does glue color of nucleon A correlated or entangled with glue color of nucleon B? If it does, what is the strength of such correlation? Can a large nucleus look like a big proton at small-x? the range & strength of color correlation? What does the nucleus look like?

41 Emergence of nuclear force? q Nature of nuclear force: A B If we only see quarks and gluons, What does the nucleus look like? q Range of color force: Does glue color of nucleon A correlated or entangled with glue color of nucleon B? If it does, what is the strength of such correlation? Can a large nucleus look like a big proton at small-x? the range & strength of color correlation? Imaging 3D gluon density How far does glue density spread? Only possible at EIC How fast does glue density fall?

42 Emergence of nuclear force? q Nature of nuclear force: A B If we only see quarks and gluons, Does the color of A know the color of B? q The hard probe at small-x is NOT localized: Longitudinal probing size > Lorentz contracted nucleon, if 1 xp > 2R m A p or x Hadron rest frame c.m. frame

43 Emergence of nuclear force? q Nature of nuclear force: If we only see quarks and gluons, Does the color of A know the color of B? q The hard probe at small-x is NOT localized: Longitudinal probing size > Lorentz contracted nucleon, if 1 xp > 2R m A p or x Hadron rest frame c.m. frame ² N: Observed nuclear effect due to coherent collisions ² Y: Different medium + coherent collisions Nucleus could act like a bigger proton at small-x!

44 Role of color for nuclear force? q A simple question: Will the suppression/shadowing continue to fall as x decreases?

45 Role of color for nuclear force? Color localized Inside nucleons q A simple question: Will the suppression/shadowing continue to fall as x decreases? Color leaks outside nucleons Soft gluon radius is larger

46 Role of color for nuclear force? Color localized Inside nucleons Nucleus as a bigger proton q A simple question: Will the suppression/shadowing continue to fall as x decreases? Color leaks outside nucleons Soft gluon radius is larger

47 Summary and outlook q EIC is a ultimate QCD machine: 1) to discover and explore the quark/gluon structure and properties of hadrons and nuclei, 2) to search for hints and clues of color confinement, and 3) to measure the color fluctuation and color neutralization q EIC is a tomographic machine for nucleons/nuclei (1/10 fm resolution) necessarily for exploring nuclear femtography q EIC could study major Nuclear Science issues that other existing facilities, even with upgrades, cannot do q US-EIC is sitting at a sweet spot for rich QCD dynamics capable of exploring the science of nuclear femtography! Thanks! More on US-EIC and its path forward See Abhay Deshpande s talk

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