My involvement in the Spin and Parity Programs at JLab, and beyond - - PowerPoint PPT Presentation
My involvement in the Spin and Parity Programs at JLab, and beyond - - PowerPoint PPT Presentation
My involvement in the Spin and Parity Programs at JLab, and beyond Xiaochao Zheng October 1, 2010 Introduction nucleon structure and electron scattering Three types of Deep Inelastic Scattering (DIS) and some completed/future experiments
d2 d dE' = Mott[ F1Q2 ,F 2Q2 ,]
Exploring Nucleon Structure Using EM Probe
The cross section: For point-like target
k=E, k k '=E', k ' q=, q W
2=P' 2
Q
2=−q 2
P=M,0
➔ Elastic – the nucleus appears
as a rigid body
➔ Quasi-elastic – individual
nucleon appears as a rigid body; nucleus = incoherent sum of nucleons (quasi-) elastic — rigid body Q
2=2MT
Q
2=2MN
Exploring Nucleon Structure Using EM Probe (cont.)
Nucleon form factors well measured
1W2GeV
1W2GeV
➔ Resonance region – quarks
inside the nucleon react coherently resonances — certain excitations of the internal structure
Exploring Nucleon Structure Using EM Probe (cont.)
For resonances, typically use phenomenological models to study N-N* transition amplitudes and polarizations.
Deep Inelastic Scattering (DIS): Quarks start to react incoherently Start to see constituents of the nucleon
Exploring Nucleon Structure Using EM Probe (cont.)
For DIS, perturbation theory starts to work, can test perturbative QCD.
Current Knowledge of Nucleon Unpolarized Structure
(after 40 years of study)
- Phys. Rev. D 66, 010001 (2002)
d2 d dE' = Mott[ F1Q2 ,F 2Q2 ,]
After 39 years of DIS experiments, the unpolarized structure of the nucleon is reasonably well understood (for moderate xBj region).
F1x = 1 2 ei
2[qi x]
in the Quark-Parton Model and the infinite momentum frame (IMF) (P → ∞)
Current Knowledge of Nucleon Unpolarized Structure
(after 40 years of study)
Polarized DIS (1980~present)
Scattering cross section is spin-dependent (imaging throwing two small magnets together) Longitudinal Transverse
d
2
d dE ' − d
2
d dE' ∝ point−like[' g1x ,Q
2' g2 x ,Q 2]
d
2
d dE ' − d
2
d dE' ∝ point−like[' ' g1x ,Q
2' ' g2x ,Q 2]
N S N S S N N S vs.
Polarized Structure Function and the Nucleon Spin Structure
in QPM and the infinite momentum frame:
g1x = 1 2 ei
2[qi x−qi x] = 1
2 ei
2[ qix]
The integral of g1(x) over x describes how much of the nucleon's spin is carried by quarks' spin
But do we really understand strong interaction? To do this, we must understand the nucleon structure from the theory of strong interaction (QCD). SQ
2=
4 11−2n f /3ln Q
2/ 2
Because strong interaction is highly non-perturbative, it is very difficult to predict the value of structure functions from QCD.
Data vs. Theory – How do we test QCD?
For most cases, QCD cannot predict the value of structure functions because of their non-perturbative nature. However, the large x region provides a handful of exceptions: F2
p/F2 n and d/u
A1
p, A1 n , or ∆u/u and ∆d/d
A1 = 1/2− 3/2 1/2 3/2
2 = Q 2
2 = 4 M 2 x 2
Q
2
Virtual photon asymmetry:
A1 = g1−
2 g2
F1 ≈ g1 F1
.at large Q2 At large x, valence quarks dominate, a relatively clean/easy region to study/model the nucleon
The 6 GeV Hall A Measurement (21 PAC days, 2001)
HHC not valid, quark OAM?
(1) SU(6) (2) (2) CQM CQM (3) LSS(BBS) (4) BBS (5) Bag Model (6) Duality (7) LSS 2001 (8) Statistical Model (9) Chiral Soliton (1)CQM (2)LSS(BBS):pQCD+HHC (3)Statistical Model (4)LSS 2001 (Deutron data not shown: E143, E155, SMC)
- X. Zheng et al., Phys. Rev. Lett. 92, 012004 (2004);
- Phys. Rev. C 70, 065207 (2004)
(1) (9) (8) (7) (2) (6) (4) (3) (6) (5) (1) (1) (2) (2) (3) (3) (4) (4)
Polarized DIS and Nucleon Spin Structure
- H. Avakian, S. Brodsky, A. Deur, F. Yuan,
- Phys. Rev. Lett.99:082001(2007)
Figure credit: A. Deur
Future Experiments after the 11 GeV JLab Upgrade
Fully approved in August 2010, rated A. There are in fact two experiments, one in Hall A, one in Hall C.
Expected Results
Combined results from Hall C (neutron) and B (proton) 11 GeV experiments
EM observables — σ, A... (polarized beam + polarized target)
hadron structure, strong interaction and its standard model (QCD);
Weak observables — parity violating asymmetries (APV)
(polarized beam + unpolarized target)
study hadron structure
elastic scattering: strange form factors A4, G0, HAPPEX, SAMPLE DIS: non-perturbative effects, CSV etc... PVDIS
test the standard model of electro-weak interaction
Qweak
Parity Violating DIS
ALR≡
r− l
r l≈ Q 2
M Z
2 ≈120 ppm
at Q
2=1GeV /c 2
N S S N vs.
From Ad can extract C1,2q and sin2θW. For a deuterium target
In the SM, tree level
Ad = 540 ppmQ
2 2C1u[1RCx]−C1d[1RSx]Y 2C2u−C2d RV x
5RS x4RCx C1d=gA
e gV d=1
2 −2 3 sin
2W
C1u=g A
e gV u =−1
2 4 3 sin
2W
C2d=gV
e g A d= 1
2 −2 sin
2W
C2u=gV
e g A u=−1
2 2sin
2W
Test of EW Standard Model Using PVDIS
1970's, result from SLAC E122 consistent with sin2θW=1/4, confirmed the Standard Model prediction; Development in experimental technique allows to search for new physics
JLab 6 GeV Experiment 08-011
E08-011 ran Oct-Dec 2009
Used 105µA, 6 GeV, 85% polarized beam on a 20-cm LD2 target; Two Hall A High Resolution Spectrometers detect scattered electrons; Customerized DAQ built by UVa group Measure Ad at Q2=1.10 and 1.90 GeV2 to about 3-4% (stat.); Co-spokesperson & contact: X. Zheng Co-spokesperson: P.E. Reimer, R. Michaels Students: Diancheng Wang, Xiaoyan Deng, Huaibo Ding, Kai Pan postdoc: Ramesh Subedi
- ANL, Calstate, FIU, Jlab, Kentucky, U. of Ljubljana (Slovenia), MIT, UMD, UMass, UNH,
Universidad Nacional Autonoma de Mexico, Rutgers, Smith C., Syracuse, UVa, W&M
Current Knowledge on C1,2q
MIT/ Bates SLAC/Prescott
- R. Young
(PVES)
- R. Young
(combined) PDG best fit Cs APV PDG best fit SAMPLE SLAC/ Prescott
all are 1 σ limit Best: ∆(2C2u-C2d) = 0.24
C2u+C2d
1.25 1.5 1.75 1.0 0.75 0.5 0.25 0.25
- 0.5
- 0.75
C2u-C2d
- 0.25
0.5 0.25
- 0.5
0.10 0.125 0.15 0.175
C1u-C1d
- 0.4
- 0.6
- 0.8
C1u + C1d Tl APV Qweak
(expected)
MIT/ Bates SLAC/Prescott
- R. Young
(PVES)
- R. Young
(combined) PDG best fit Cs APV SAMPLE SLAC/ Prescott
all are 1 σ limit Best: ∆(2C2u-C2d) = 0.24
C2u+C2d
1.25 1.5 1.75 1.0 0.75 0.5 0.25 0.25
- 0.5
- 0.75
C2u-C2d
- 0.25
0.5 0.25
- 0.5
0.10 0.125 0.15 0.175
C1u-C1d
- 0.4
- 0.6
- 0.8
C1u + C1d Tl APV
The 6 GeV E08-011
PDG best fit
Expected: JLab 6 GeV PV-DIS E08-011 (assuming small hadronic effects and a 4% stat error on Ad)
Qweak
(expected)
Hall A large acceptance “solenoid” device: PR09-012 Measure Ad to 1% for a wide range of (x,Q2,y), clean separation of New Physics (via C2q and sin2θW), HT and CSV possible; Extract d/u at large x from PVDIS on a proton target, free of nuclear effects; Other hadronic physics study possible: A1
n at large x, Semi-inclusive DIS.
Two approaches:
Hall C “baseline” SHMS+HMS: PR12-07-102 (P.E. Reimer, X-C. Z, K. Paschke, 1% on Ad, extraction of C2q, sin2θW (if higher-twists and CSV are negligible);
PVDIS Program at JLab 12 GeV
(conditionally approved)
Hall A large acceptance “solenoid” device: PR10-007 fully approved Measure Ad to 1% for a wide range of (x,Q2,y), clean separation of New Physics (via C2q and sin2θW), HT and CSV possible; Extract d/u at large x from PVDIS on a proton target, free of nuclear effects; Other hadronic physics study possible: A1
n at large x, Semi-inclusive DIS.
Two approaches:
Hall C “baseline” SHMS+HMS: PR12-07-102 (P.E. Reimer, X-C. Z, K. Paschke) 1% on Ad, extraction of C2q, sin2θW (if higher-twist and CSV are negligible);
PVDIS Program at JLab 11 GeV
Projected PVDIS Measurement with SOLID@11 GeV
figure from K. Kumar, Seattle 2009 EIC Workshop EW talks
Projected PVDIS Measurement with SOLID@11 GeV
figure from K. Kumar, Seattle 2009 EIC Workshop EW talks
Ongoing 6 GeV Physics Program Measurement of neutron asymmetry A1
n in the valence quark
region at JLab 12 GeV
Flagship experiment May be one of the first experiments to run (~2014?)
SOLID program (2015 or later)
PVDIS at 11 GeV — ultimate goal: clean separation of New Physics and CSV A1
n, d/u measurements, SIDIS, etc.
Research Opportunities
Frontiers of Nuclear Science
“Building on the foundation of the recent past, nuclear science is focused on three broad but highly related research frontiers: (1) QCD and its implications and predictions (1) QCD and its implications and predictions for the state of matter in the early universe, for the state of matter in the early universe, quark confinement, the role of gluons, and quark confinement, the role of gluons, and the structure of the proton and neutron; the structure of the proton and neutron; (2) the structure of atomic nuclei and nuclear astrophysics, which addresses the origin of the elements, the structure and limits of nuclei, and the evolution of the cosmos; and (3) developing a New Standard Model of (3) developing a New Standard Model of nature's fundamental interactions, and nature's fundamental interactions, and understanding its implications for the origin understanding its implications for the origin
- f matter and the properties of neutrinos and
- f matter and the properties of neutrinos and
nuclei. nuclei.”
A few words (slides) beyond the exact research topic
How a life towards your Ph.D. will feel like?
It's not like course work, there is no homework, no scheduled assignments, no TA/instructor to tell you what to do everyday. There is no midterm or final
It's not like course work, there is no homework, no scheduled assignments, no TA/instructor to tell you what to do everyday. There is no midterm or final If you want to solve a problem, you need to go out and ask! Most of time, you have to define the problem yourself. If you want to know if what you are doing is leading towards your Ph.D., you need to sit down and think! There is no “after-midterm” or “after-final” vacation time to look forward to. You are facing years of hard work. Could be more complicated if you are also bothered by other questions, such as ... ...
How a life towards your Ph.D. will feel like? How a life towards your Ph.D. will feel like?
It's not like course work, there is no homework, no scheduled assignments, no TA/instructor to tell you what to do everyday. There is no midterm or final If you want to solve a problem, you need to go out and ask! Most of time, you have to define the problem yourself. If you want to know if what you are doing is leading towards your Ph.D., you need to sit down and think! There is no “after-midterm” or “after-final” vacation time to look forward to. You are facing years of hard work. Could be more complicated if you are also bothered by other questions, such as ... ... No wonder most of people I know said the few years leading to their Ph.D are the “darkest time” of their life.
How a life towards your Ph.D. will feel like? How a life towards your Ph.D. will feel like?
The Basics
A Doctor of Philosophy degree, abbreviated Ph.D., is the highest academic degree anyone can earn. Because earning a Ph.D. requires extended study and intense intellectual effort, less than one percent of the population attains the degree. Society shows respect for a person who holds a Ph.D. by addressing them with the title ``Doctor''. To earn a Ph.D., one must accomplish two things. First, one must master a specific subject completely. Second, one must extend the body of knowledge about that subject.
A Few Questions To Ask
- 1. Do you want a research career?
even if you are planning a industrial/financial position, keep in mind what the people there are looking for?
- 2. Do you want an academic position?
- 3. Do you have what it takes?
It is difficult for an individual to assess their own capabilities. The following guidelines and questions may be of help. Intelligence; Time; Creativity; Intense curiosity; Adaptability; Problem-solving skills; Self-Motivation; Competitiveness; Maturity.
A few warnings: Students sometimes enroll in a Ph.D. program for the wrong
- reasons. After a while, such students find that the