Transcript LANL Master

Parity Violation in Neutron Spin
Rotation Experiments
W. M. Snow
Physics Department
Indiana University/IUCF
PAVI06
What is the weak NN interaction? Why measure it?
What is the phenomenon of PV spin rotation?
Example: spin rotation experiment in n+4He
Other possible spin rotation measurements (n+p, n+D)
The Weak NN Interaction: What is it?
~1 fm
outside=QCD
vacuum
|N>=|qqq>+|qqqqq>+…=valence+sea quarks+gluons+…
interacts through strong NN force, mediated by mesons |m>=|qq>+…
Interactions have long (~1 fm) range, QCD conserves parity
~1/100 fm range
weak
If the quarks are close, the weak interaction can act, which violates parity.
Relative weak/strong amplitudes: ~[e2/m2W]/[g2/m2]~10-6
Quark-quark weak interaction induces NN weak interaction
Visible using parity violation
q-q weak interaction: an “inside-out” probe of strong QCD
SM Structure of Low-Energy qq Weak Interaction

At low energies Hweak takes a current-current form with charged and neutral weak
currents
Hweak~GF(Jc Jc + Jn Jn),where
Jc ~u(1+ 5)d´ ; Jn ~u(1+ 5)u-d(1+ 5)d-s(1+ 5)s
-4sin2w JEM
Isospin structure: ∆I = 0, 1, 2

Hweak ∆I = 2~ Jc I = 1 Jc I = 1 , charged currents
Hweak ∆I = 1~ Jc I = 1/2 Jc I = 1/2+ Jn I = 0 Jn I = 1

neutral current will dominate the ∆I = 1 channel [unless strange sea quarks contribute].

Hweak ∆I = 0~ Jc I = 0 Jc I = 0+ Jn I = 0 Jn I = 0 + Jn I = 1 Jn I = 1, both charged and

neutral currents
Hweak is known,can be used to probe QCD
Weak qq-> Weak NN: what can we learn?
s=1 nonleptonic weak interactions [I=1/2 rule, hyperon decays not understood]
Question: is this problem specific to the strange quark, or is it a general feature in the
nonleptonic weak interactions of light quarks?
To answer, we must look at s=0 nonleptonic weak interactions (u,d quarks)
Any such process is dominated by strong interaction->must measure ~1E-7 PV effects
Weak NN interaction is one of the few experimentally feasible systems
Recent Development:  perturbation theory for weak NN interaction [Zhu, Holstein,
Ramsey-Musolf, et al,Nucl. Phys. A748 (2005) incorporates chiral symmetry of QCD,
Ramsey-Musolf and Page review(hep-ph/0601127): relates coefficients in 
perturbation theory to experimental weak NN observables in NN and few body
systems ]
Longer-term goal: calculate coefficients of weak NN operators from QCD on lattice
[Bean & Savage]
NN PT coefficients and observables (Musolf/Page)
EFT coupling (partial wave
mixing)
np A
np P
nD A
n 
mt (3S1- 3P1)
-0.11
0
-3.56
-2.68
0
-1.07
mt (3S1- 1P1)
0
0.63
-1.39
1.34
0
-0.54
ms0 (1S0- 3P0)
0
-0.16
-0.95
1.8
4k/mN -0.72
ms1 (1S0- 3P0)
0
0
-0.24
-1.2
4k/mN -0.48
ms2 (1S0- 3P0)
0
0.32
1.18
0
4k/mN 0
experiment
0.6
±2.1
1.8
±1.8
42
±38
8
±14
-0.93
/-1.5
±0.21
(10-7 )
np  pp Az
p Az
-3.3
±0.9
Column gives relation between PV observable and weak couplings (A=-0.11mt )
assumes calculations of PV in few body systems are reliable
(some need to be done [nD ] or redone/)
Weak NN: Relations to Other Areas

PV in atomic physics: nuclear anapole moment [seen in 133Cs,
searched in Tl, plans in Fr, Yb,…]

PV in p-shell and light s-d shell nuclei with parity doublets [lots
of good measurements (14N, 18F, 19F, 21Ne), should be
calculable given weak NN]

PV in heavy nuclei [TRIPLE measurements +theoretical
analysis with chaotic nuclear wavefunctions gives prediction for
effective weak couplings in heavy nuclei]

PV in electron scattering [use Z exchange to extract s portion of
proton EM form factors, but need to avoid contamination from
q-q weak]

Neutrinoless double beta decay [test of EFT treatment for
matrix elements of 4-quark operators similar to weak NN]
Weak NN: What can be learned with Low Energy (meV)
Neutrons?
Low energy neutrons: s-wave and p-wave elastic scattering, (n,)
For elastic scattering, Az->0 as k ->0
Hard to flip spin quickly for large polarized targets
MeV gamma polarimeters are inefficient
Easy to flip neutron spin
-> 2 classes of experiments: PV spin rotation [~Re(f)] and reactions
with inelastic channels [gamma capture]
Possible experiments: PV spin rotation in n-p and n-4He (and just
maybe n-D?), PV gamma asymmetry in n-p and n-D (next talk D.
Bowman)
νβ
n
2MeV
235U
235U
300K
Nuclear reactor
ν γ
γ
β
30K
n
235U
3
10
T30K
T293K
2
10
1
10
0
10
W(En)
n
0.1eV
“Slow” Neutrons: MeV to neV
n
-1
10
-2
10
-3
10
-4
10
UCN
-5
10
Very cold
Cold
ThermEpitherm
-6
10
-8
10
-7
10
-6
10
-5
10
-4
10
En [eV]
-3
10
-2
10
-1
10
0
10
NIST Cold
Neutron Guide
Hall
Reactor makes
neutrons, cooled to ~20K
by liquid hydrogen
Neutron mirrors (“guides”)
conduct the neutrons ~100
meters with small losses.
Neutron Optical Potential
|k>
|K=nk>
ei|k>
s-wave
fscatt=b
L
<V>=neutron optical
potential
~spatially-averaged
version of nN potential
matter
Phase shift =(n-1)kL
Index of refraction
n=|K|/|k|=√[(Ek-<V>)/Ek]
For Ek-<V> negative,
neutron reflects
from the optical potential
c
c=√[b/] critical angle
Parity Violation in Neutron Spin Rotation
Transverse Polarization
Medium with
Parity Violation
φ
y
z
Helicity
Components
Optical
Rotation

transversely polarized neutrons corkscrew due to weak NN interaction
[opposite helicity components of |>y=1/√2(| >z+ |>z) accumulate different
phases from sn·kn term in forward scattering amplitude]

PV rotation angle per unit length d/dx related to parity-odd amplitude
[=(n-1)kx, n-1=2f/k2, fweak=gk ->d/dx~g]
d/dz ~1x10-6 rad/m expected on dimensional grounds


Spin rotation in neutron optics
n
Incoming neutron with spin along
y =
ŷ :
1
2
z
 z
medium

 
f (0) = f PC  f PV (  k )
Coherent forward scattering amplitude for
low-energy neutrons:



neutron spin

k
neutron wave vector
  helicity
 k
Neutron optical phase shift:
is different for opposite helicity
states
PV phase shift is opposite for |+z>
and |-z>
The PV rotation of the angle of
transverse spin is the accumulated
phase difference:
l
 
2
 = kl(1  2 ( f PC  f PV (  k )))
k
 = PC  PV
 PC = kl1 

2
f PC )
2
k
 PV = 2lf PV
1 i (PC PV )
e
z  e i (PC PV )  z
2

 PV =    = 2 PV = 4lf PV
n
N-4He Spin Rotation Collaboration
C.D. Bass1, B.E. Crawford2, J.M. Dawkins1, K. Gan6, B.R. Heckel5, J.Horton1, C. Huffer1,
P.R. Huffman4 ,D. Luo1, D.M. Markoff4, A.M. Micherdzinska1, H.P. Mumm3,
J.S. Nico3,A.K. Opper6, E.Sharapov7 ,M.G. Sarsour1, W.M. Snow1, H.E.
Swanson5, V. Zhumabekova8
Indiana University / IUCF2
Gettysburg College2
National Institute of Standards and Technology (NIST)3
North Carolina Central University / TUNL4
University of Washington5
George Washington University6
Joint Institute for Nuclear Research, Dubna, Russia7
Al-Farabi Khazakstan National University8
NSF PHY-0457219
n
The Background: Magnetic Fields

sn

pn
polarizer
 
sn  Bext
 
sn  pn
PC  PV
x

sn
l
y
z
analyzer

Parity Violating d/dz: of order 1E-6 rad/meter

d/dz of low energy neutron due to Larmour precession in external B
field of the Earth: ~1 rad/meter!

design of experiment is completely dominated by need to reduce
systematic effects from magnetic fields
Conceptual Design of Spin Rotation Apparatus
n
Neutron Spin Rotation apparatus (top view)
n
Neutron Spectrum and Flux
Neutron flux: ~1E+9 neutrons/cm2 sec over 5 cm x 5 cm guide
How can neutrons be polarized?
B gradients (Stern-Gerlach,
sextupole magnets)
electromagnetic
F=()B
B
B
L

Reflection from magnetic
mirror: electromagnetic+
strong
f=a(strong) +/- a(EM)
with | a(strong)|=| a(EM)|
f+=2a, f-=0
Transmission through
polarized nuclei: strong
≠ -  T ≠ T
Spin Filter:T=exp[-L]
n
“Supermirror” Neutron Polarizer
Magnet Box
28 cm
White
Neutron
Beam
polarized
Neutron
Beam
B
Permanent
magnet box
Plate Curvature
Radius ~ 10m





Neutrons are polarized through
spin-dependent scattering from
magnetized mirrors
Polarization: ~98%
transmission: ~25%
n
Target/Cryostat Magnetic Shielding
n
Suppressing the magnetic field
~2nT field in the target region still not good enough (causes rotation ~100 times
bigger than pv), and still need to oscillate PV signal ->Target Design
n
Nonmagnetic Helium Cryostat
n
Target design: Oscillation of PV Signal
A
B
3He n-detector
mag - PV
mag + PV
B-F) - PV
B-F)+ PV
-F - PV
-F
Analyzer
Target Chamber
– back position
•
 – Coil
F+ PV
Target Chamber
– front position
Polarizer
•
F
z
•
x
Cold Neutron Beam
•
y
•
B – A = 2PV
Cold Neutron Beam
n
Target design: Noise Suppression
A
B
3He n-detector
Analyzer
Target Chamber
– back position
 – Coil
•
Target Chamber
– front position
Polarizer
•
Cold Neutron Beam
B – A = 2PV
x̂
Output Coil and Polarization Analyzer
 x̂

ŷ
B
B
ẑ
sin
=
N+-NN++N-
Output coil adiabatically rotates neutron spin by +/- /2,
conserving component of neutron spin along B, flipped at 1 Hz
n
Segmented 3He ionization chamber
signal plates
full voltage plates
HV plate
window
half voltage rings




3He
and Ar gas mixture
Neutrons detected through n+3He g 3H+1H
High voltage and grounded charge-collecting
plates produce a current proportional to the
neutron flux
4 Detection Regions along beam axis velocity separation (1/v absorption)
S.D.Penn et al. [NIM A457 332-37 (2001)]
charge collection plates are divided into 4
quadrants (3" diam) separated L/R and U/D
beam
Systematic Effects in PV Spin Rotation
Associated with residual longitudinal B fields (~ 10 nT )
effect
– He diamagnetism
– He optical potential
– small angle/inelastic
– scattering
– Internal fields in pi-coil
estimated size (B~10 nT)
(BHe ≠ Bvac)
(VHe ≠ Vvac)
 
 
B1 d 1
B2  d  2

 v1  v2
~10-8 rad/m
~10-8 rad/m
~10-8 rad/m
PV spin rotation independent of neutron energy, B rotation depends on
neutron energy
At NIST we will amplify systematic effects from target scattering by
increasing B to~1 T in separate measurements.
The Spallation Neutron Source at ORNL



$1.4B--1GeV protons at 2MW, ready in ~2007 (first neutrons recently!
Short (~1 usec) proton pulse– mainly for high TOF resolution
Will be brightest spallation neutron source (also JSNS@JPARC)
SNS Fundamental Neutron Physics Beam
30-50 m
ballistic
guide
n
Summary and plans for PV n spin rotation
1. Apparatus at NIST now, beam/apparatus tests
2. Previous attempt in 1996 ( PV(n,) = ( 8.0 ±14 (stat) ± 2.2 (syst) ) 10-7
rad/m, D. Markoff thesis)
3. NIST goal: PV=310-7 rad/m (3 months) + ~1 month of systematic study.
This sensitivity will improve our knowledge of NN weak interaction
4. Letter of Intent approved to perform PV neutron spin rotation in LHe at
SNS (sensitivity goal PV=110-7 rad/m in 12 months)
5. n-p spin rotation possible at SNS in a ~20 cm liquid parahydrogen target
6. n-D spin rotation possible at ILL/FRM in a few cm liquid orthodeuterium
target
Status, Near-Term Goals for ∆I = 0, 1 Weak NN
n-4He spin rotation in terms
of weak couplings (10-6rad/m, Dmitriev
n-4He orthogonal to 133Cs, p-4He
n+p->D+ asymmetry determines f
= f Desplanques)
plot: =3E-7 rad/m, =5E-9
n
Neutron Spin Rotation apparatus- Filters
1) Small wavelength cut-off filer: Be-Bi
Polycrystalline Beryllium => when neutron  =< 2dmax (dmax – maximum interplanar
spacing in the Be), neutrons will be scattered out of beam by diffraction. Neutrons
with > 2dmax do not diffract, will pass through. Bismuth crystal – stops gammas.
Both filters needs to be cooled to LN temperature. (We have 4” of Be and 4” of Bi)
1) Long wavelength cut-off filter: stack of Ni/Ti supermirrors deposited on~100
Si wafers. c = 3* c(Ni); c(Ni) = 21 mrad/nm and oriented at a small angle
Supermirrors
Incident
beam
Transmitted
beam (<)

(2<  < 2
Absorber (>)
Reflected
beam
Flight of the neutron
Top
view:
MAGNETIC SHIELDING
PI-COIL
L
R
SM
FRONT TARGET
BACK TARGET
FLIPPING COIL
Side
view:
L


R
Supermirror polarizer passes neutrons with vertical “up” spin
Typical polarization 98%
SM
Flight of the neutron
Top
view:
MAGNETIC SHIELDING
PI-COIL
L
R
SM
FRONT TARGET
BACK TARGET
y
FLIPPING COIL
SM
L
R
Side
View
x


Both neutrons experience Larmour precession about residual B-fields
Right neutron experiences additional rotation due to weak interaction with
LHe
Top
view:
Flight of the neutron
MAGNETIC SHIELDING
PI-COIL
L
R
SM
FRONT TARGET
BACK TARGET
FLIPPING COIL
y
L
R
Side
view:
x

-Coil Larmour precesses the neutron spin 180-degrees about the
vertical axis
SM
Flight of the neutron
Top
view:
MAGNETIC SHIELDING
PI-COIL
L
R
SM
FRONT TARGET
BACK TARGET
FLIPPING COIL
SM
y
R
L
Side
view:
x


Both neutrons experience Larmour precession about residual B-fields
Left neutron experiences additional rotation due to weak interaction with
LHe
Top
view:
Flight of the neutron
MAGNETIC SHIELDING
PI-COIL
L
R
SM
FRONT TARGET
BACK TARGET
FLIPPING COIL
y
Side
view:
or:
x
1.
2.
Transverse component of spin rotated into a horizontal B-field
Spins then rotated into a vertical direction (same as ASM)
(the direction of rotation into vertical reverses at 1Hz rate)
SM
Top
view:
Flight of the neutron
MAGNETIC SHIELDING
PI-COIL
L
R
SM
FRONT TARGET
BACK TARGET
FLIPPING COIL
SM

Neutron spins are either parallel or antiparallel to the ASM

Parallel spins pass through ASM and enter 3He Ion Chamber detector

Asymmetry of count rate for flipping coil states & target states yields
spin rotation
P  A sin  =
N  N
N  N
n
NIST Center for Neutron Research (NCNR)
Eight cold neutron guides, two for fundamental physics (NG-6, NG-7)
Reactor 20 MW
(fission neutrons)
Moderation
D2O
Thermal neutrons
Moderation LH
Cold neutrons
E<5 meV; T=20K
wavelength ( ~ few A
Cold neutrons are conducted by neutron mirrors (guides) over 80 –
100m with small losses to experimental areas.
Signal Modulation via Target Motion Plus Magnetic Field
Precession (Top View)
BKG  PNC
BKG + PNC
n-detectors Target is split into 2
sections A,B along
neutron beam with
Analyzer
“ coil” between
3He
PNC
PNC
•
Target Chamber
Front full: +PNC in A,
Back Position
+ -> - in  coil, B
 - Coil
empty
Target Chamber Back full: 0 in A, 0 in
Front Position coil, +PNC in B
PNC
•
Cold Neutron Beam
Polarizer
Difference=2 PNC
Theory needed at nucleon and quark levels
Nucleon level: need new calculations of relationship between NN P-odd
observables and NN weak couplings, especially for n+D->3H+g
asymmetry, n+4He spin rotation, n+D spin rotation
This should be doable: add VPNC as perturbation to strong calculation
in potential models, EFT approaches,…
Quark level: need to calculate weak couplings in QCD models, use
measured couplings to discriminate, or lattice+chiral extrapolation
Models will need to treat q-q correlations in nucleon correctly in strong
regime to get the physics right
n
Cold Neutron Guide Hall at NCNR
n
Scientific Impact of Measurement of Weak NN Couplings
Parts of the weak NN interaction needed for nuclear and atomic systems
will essentially be determined (hr2 missed)
New probe of nuclear structure using existing PV measurements in
medium and heavy nuclei
Resolve present inconsistencies in data from previous experiments
Test internal consistency of meson exchange model and/or cPT
Ambitious but foreseeable goal for a SM+QCD calculation (lattice gauge
theory+chiral extrapolation)
Sensitivity to aspects of QCD dynamics (qq correlations) which cannot be
“faked” by single-particle model approaches
Executive Committee of SNS
Instrument Development Team (IDT)
David Bowman, LANL
Vince Cianciolo, ORNL
Martin Cooper, LANL
John Doyle, Harvard
Chris Gould, NC State/TUNL
Geoff Greene, Tennessee/ORNL
Paul Huffman, NC State/TUNL
Mike Snow, Indiana/IUCF, chair
SNS: open user facility,
peer review, scheduling
Join the IDT!
www.phy.ornl.gov/nuclear/
neutrons
QCD vs Electroweak: which is more “fundamental” ?
LQCD=-1/4 F F+q(iD-m)q (QCD=0)
Strong
Lagrangian
LEW= LV + LF+ LHiggs+ Lint
LV = =-1/4 F F+mW2(W+2+ W-2)/2 +mZ2 Z2/2
LF= q(i∂-m)q
Lhiggs= ∂µ  ∂µ  -mH22
Electroweak
Lint= LVF + LHV+ LHF+ LHH
Lagrangian
LVF =g/2(W+µ J+µ +W-µ J-µ) +e Aµ Jµ,EM+g/cosW ZµJµ,neut
LHV=[mW2(W+2+ W-2)/2+mZ2 Z2/2] /(1+ /2)
LHF= qMq /
LHH=- 3/6 - 4/24
3He
ionization chamber neutron detector
signal plates
full voltage plates
HV plate
window
half voltage rings

Neutrons detected through the following reaction:
n+3He g 3H+1H

Charged reaction-products ionize the gas mixture

High voltage and grounded charge-collecting plates
produce a current proportional to the neutron flux
S.D.Penn et al. [NIM A457 332-37 (2001)]
n
What We Have Done Before
Segmented Ionization
Chamber Detector for n-4He
ORIGINAL DESIGN
Ionization Chamber
3He and Ar gas mixture
4 Detection Regions
along beam axis
velocity separation
(1/v absorption)
Gas pressure so that
transverse range
of the proton < 0.3 cm
Note region size increases for approximately equal
countrates: 30% of beam in regions 1, 2, 3+4
n
What We Have Done Before
Segmented Ionization
Chamber Detector for n-4He
ORIGINAL DESIGN
Ionization Chamber
n + 3He → p + t
Collect charged proton and triton
on charge collection plates.
Divide charge collection plates
into 4 quadrants (3" diam)
separated L/R and U/D beam
n
What We Have Done Before
Segmented Ionization
Chamber Detector for n-4He
Penn et al. NIM 457, 332 (2001)
(Includes DM Markoff in author list.)
0.5 atm 3He, 3 atm Ar gas mixture
4 detection regions along axis
4 quadrants per region
 16 channels with coarse position
sensitivity and large energy bins
Count rate: 107 n/sec – current mode
~ 7×105 n/sec/channel
(1996 digital picture shows
4-region, quadrant detector)
(Allows measurement of rotations
from magnetic fields ~ 40 G)
qq weak processes hidden in the weak NN vertex
“factorization”
amplitude
[<N| Hweak|Nm>
~<0|qq|m><N|q 5q|N>]
P-odd admixture into N
Valence
quarks
DDH
sea quarks
+…



Non-negligible amplitudes from sea quarks possible
Sign cancellations among different contributions
Renormalization group calculations evolve from weak scale to
strong scale
What might the Weak NN Interaction do for QCD?
QCD |vacuum>: 2 (distinct?) phenomena:
Chiral symmetry breaking +quark confinement
s p
mq~few MeV
p
s
<>=0
mqeff~300 MeV
=helicity-flip process

Chiral symmetry breaking seems to dominate ground-state dynamics of
light hadrons such as protons and neutrons
Mechanism of chiral symmetry breaking in QCD |vacuum> is not (yet?)
understood (instantons?) but it can induce q-q correlations

For strong QCD physics we need to understand q-q correlations)

weak qq interaction range~1/100 size of nucleon-> sensitive to shortrange part of q-q correlations, an “inside-out” probe
Meson Exchange Model (DDH) and other QCD Models
assumes , , and  exchange dominate
the low energy PNC NN potential as
they do for strong NN
Weak meson-nucleon couplings f , h0,
h1, h2, h0, h1 to be determined by
experiment
N
PV

N
PC
Barton’s theorem [CP invariance forbids coupling between S=0 neutral
mesons and on-shell nucleons] -> pp parity violation blind to weak pion
exchange [need np system to probe Hweak ∆I = 1]
fnow calculated to be ~3E-7 with QCD sum rules (Hwang+Henley, Lobov)
and SU(3) soliton model (Meissner+Weigel), calculation in chiral quark
model in progress (Lee et al).