Embed Size (px)
Citation preview
Orbital Angular Momentum and Shear Flow in Non-Central Heavy Ion Collisions
Wei-Tian Deng
Geometry
bp
bpn
in
inb
yL
Total Orbital Angular Momentum
yL ?
Low energy (nuclear binding energy)
High energy（ RHIC）
Rotating compound nucleus
Shear of the longitudinal flow
Local vorticity density
Quark global polarization
Total Orbital Angular Momentum
),,,(,,
bzyxdydzdx
dN TPA
TPparti
The transverse distributions of participant nucleons
dx
dN
dx
dNxdxpL
Tparti
Pparti
iny
Total Orbital Angular Momentum
Woods-Saxon nuclear distribution
aRrr
A /exp10
Hard spheres rRr A 0
Total Orbital Angular Momentum
Longitudinal shear flow
Landau fireball model
Bjorken scaling model
Total angular momentum
longitudinal shear flow
Local relative orbital angular momentum
Landau fireball model
the produced partons thermalize quickly
have a common longitudinal flow velocity at a given transverse position
Landau fireball model
)//(
)//(2/,,
dxdNdxdN
dxdNdxdN
sc
ssbxp
Tparti
Pparti
Tparti
Pparti
z
)(2/0 scsp
Landau fireball model
dxdpxl zy /2
Bjorken scaling model
x
pxl z
y
2
x
YYm
x
pT
z
cosh
zt
zt
log
xy
z
z
z
pE
pEY
log
Bjorken scaling model
HIJING
Woods-Saxon nuclear density
Parton level 3-dimensional expanding
x
z
Bjorken scaling model
Bjorken scaling model
dxdN
dxdYdNxYP
/
/,
Bjorken scaling model
x
Y
xY ,
Y
xYP
xYPYY Y
,
,
1
12
2
xY
xYP
x
YY
),(log
12
22
Comoving frame
Bjorken scaling model
GeVx
YYp
x
YYm
x
p GeVpTT
z T 003.0coshcosh 8.0
