candidate Yilong Xie to calculate the polarization of lambda particles in heavy ion

collision (HIC). Due to the nature of the interaction of orbital angular momentum

and spin, through the inverse temperature field, the calculations are performed in

non-central HIC using parameters from previous work of my former supervisor, a

Particle-In-Cell code (PICR) running for the first few fm/c. During this phase, a

fact not accounted for by the model succeeding the PICR run, the angular velocity

increases.

We used an
exact, rotating and self-similarly expanding
hydrodynamics model for

peripheral HICs by
T. Csörgö and M.I. Nagy. The theoretical framework
associated

with the lambda polarization was
deduced by F. Becattini * et al.* in their paper on

relativistic distribution function for particles with spin
at local thermodynamical

equilibrium
with which the authors deduce an expected value for the
polarization of

lambda particles.

We chose a direction of initial momentum, in the z-direction
in a custom HIC

coordinate system, in which the reaction plane
is defined by the xz-plane, and took

the dot product with
the vorticiously flowing inverse temperature field to
integrate

over space to then arrive at an expression for
the expected polarization. The results

were
analytic including some Whittaker functions. We
conclude that the

polarization of lambda particles at
the previous 2.76 TeV per nucleon energy of the

Large Hadron Collider in Geneva, Switzerland, will be as
large as 16% in the

negative y-direction at large
center-of-mass momenta (pluss or minus 4 GeV/c,

increasing
most quickly in the x-direction).

Here, I will probe the current results as they emanate from
current theoretical

models. Although I would ideally
use real data, this option is not available to

me until the
announcement of OpenAlice through CERN's
OpenData
initiative.

Until that time, I will use the excellent
theoretical power of the Standard Model of

Electroweak
Theory as coded in the powerful FLUKA code. With this I will

simulate proton-proton (pp) collisions, and measure
the angular distribution of

protons in the lambda rest
frame to assess the magnitude of the polarization.

To be clear: Becattini * et al.*'s results
have already been experimentally confirmed

by
the observation of the polarization of lambdas
and anti-lambdas at LHC;

in conference proceedings,
using small datasets produced by RHIC and ALICE,

Mike Liza
has shown that the direction of polarization is the same
for both particle

type, thus establishing the fact
that this interaction is real, and it is definitely
not an

electromagnetic phenomenon, but a phenomenon
of spin-orbital angular momentum

coupling at
thermodynamical equilibirum in an inverse temperature field.