INTRODUCTION
9
These reasons led to launch the development of a new platform for magnetic
measurements at CERN. The software Flexible Framework for Magnetic
Measurements (FFMM) was subsequently developed to handle such platform.[6]
In this thesis work, design and event handling of several FFMM classes are
proposed in order to allow the control of two strategic devices: a Data
AcQuisition (DAQ) board and a low voltage Power Supply. Finally, experimental
results of measurements carried out on the devices in two different laboratories
(University of Sannio and CERN) will be described.
10
PART 1 – STATE OF THE ART
11
CHAPTER 1. CERN
The European Organization for Nuclear Research (French: Organisation
Européenne pour la Recherche Nucléaire), known as CERN, is the world's largest
particle physics laboratory, situated in the northwest suburbs of Geneva on the
Franco-Swiss border, established in 1954. The organization has twenty European
member states, and is currently the workplace of approximately 2,600 full-time
employees, as well as some 7,931 scientists and engineers (representing 500
universities and 80 nationalities).
CERN's main function is to provide the particle accelerators and other
infrastructure needed for high-energy physics research. Numerous experiments
have been constructed at CERN by international collaborations to make use of
them. The main site at Meyrin also has a large computer centre containing very
powerful data processing facilities primarily for experimental data analysis, and
because of the need to make them available to researchers elsewhere, has
historically been (and continues to be) a major wide area networking hub.[1]
1.1 Particle accelerators
In general, particle accelerators are machines accelerating charged particles to
high-kinetic energies, by applying electro-magnetic fields. A particle of charge q
and momentum moving through an electromagnetic field is submitted to the
Coulomb and Lorentz’s forces:
=
∂
∂
= + ∧
Equation 1.1
CHAPTER
1
PART 1 – STATE OF THE ART
12
where is the electromagnetic force exerted by the electric field and the
magnetic field on a particle of velocity .[2]
The electric field and magnetic field change both the particle trajectory and
the velocity, thus the trajectory and the energy can be modified. According to
Equation 1.1, three fundamental elements are necessary to realize the particle
accelerator:
ξ particle beams have to be accelerated;
ξ particles must be guided on the reference “circular” orbit;
ξ particle beams must maintain during their revolution a proper intensity
and size.
CERN operates a network of six accelerators and a decelerator. Each machine in
the chain increases the energy of particle beams before delivering them to
experiments or to the next more powerful accelerator.
1.1.1 The Large Hadron Collider (LHC)
The LHC is the world's largest and highest-energy particle accelerator, intended
to collide opposing beams of protons or lead ions, each moving at approximately
99.999999% of the speed of light.
The LHC tunnel is located 150 meters underground. It uses the 27-km
circumference circular tunnel previously occupied by LEP, closed down in
November 2000. CERN's existing PS/SPS accelerator complexes will be used to
pre-accelerate protons which will then be injected into the LHC at the insertion
points at the energy of 450 GeV. With the LHC, the aim is to continue to push our
understanding of the fundamental structure of the universe. The results from the
LHC might shed light on the following topics: Dark energy, Dark matter, Extra
dimensions, Higgs boson, Supersymmetry.
The LHC relies heavily on superconducting magnets which are at the edge of the
present technology. Presently three large accelerators are based on
superconducting magnets: the Tevatron (FNAL), HERA (Desy) and RHIC (BNL). All
CHAPTER 1 – CERN
13
of these make use of classical Nb-Ti superconductors, cooled by supercritical
helium at a temperature slightly above 4.2 K, with nominal fields below or
around 5 T.
The challenge for the LHC magnet system is to obtain the highest possible
bending strength whilst still making use of the well-proven technology based on
Nb-Ti Rutherford cables. Performance of Nb-Ti is increased by cooling the
superconductors to a temperature below 2 K, using superfluid helium. In
practice, at 1.9 K, an extra 1.5 T is attainable in the LHC dipole, i.e. from around
6.5-7 T to 8-8.5 T central field, with a corresponding 20 % gain in beam energy.
The LHC will collide two counter rotating proton beams at a nominal center of
mass energy of 14 TeV. In addition to protons, also heavy ions will be brought
into collision.[3]
The initial particle beams were injected into the LHC August 2008, the first
attempt to circulate a beam through the entire LHC was on 10 September 2008,
but the system was taken down for repairs on 19 September 2008 and due to a
faulty cable fixture it must be reheated, repaired, and recoiled. With this and the
previously scheduled winter shutoff due to power consumption, no results are
expected before February 2009.
Figure 1.1 Injection of the first beam into the LHC
PART 1 – STATE OF THE ART
14
1.2 Particle detectors
In experimental and applied particle physics and nuclear engineering, a particle
detector, also known as a radiation detector, is a device used to detect, track,
and/or identify high-energy particles, such as those produced by nuclear decay,
cosmic radiation, or reactions in a particle accelerator. Modern detectors are
also used as calorimeters to measure the energy of the detected radiation. They
may also be used to measure other attributes such as momentum, spin, charge
etc. of the particles.[4]
Six experiments (CMS, ATLAS, LHCb, TOTEM, LHC-forward and ALICE) are
currently being built, and will be running on the collider; each of them will study
particle collisions under a different point of view, and with different
technologies.
Figure 1.2 CERN Accelerators
CHAPTER 1 – CERN
15
1.2.1 CMS
One of two large general-purpose particle physics detectors built on the LHC is
the Compact Muon Solenoid (CMS) experiment.
CMS is designed as a general-purpose detector, capable of studying many
aspects of proton collisions at 14 TeV, the mean energy of the LHC particle
accelerator. It contains subsystems which are designed to measure the energy
and momentum of photons, electrons, muons1, and other products of the
collisions. The innermost layer is a silicon-based tracker. Surrounding it is a
scintillating crystal electromagnetic calorimeter, which is itself surrounded with a
sampling calorimeter for hadrons. The tracker and the calorimetry are compact
enough to fit inside the CMS solenoid which generates a powerful magnetic field
of 4 T. Outside the magnet are the large muon detectors, which are inside the
return yoke of the magnet.[5]
Figure 1.3 The set up of the CMS. In the middle, under the so-called barrel there is a man for
scale (HCAL=hadron calorimeter, ECAL=electromagnetic calorimeter).
1
The muon (from the letter μ used to represent it) is an elementary particle with negative
electric charge and a spin of 1/2
PART 1 – STATE OF THE ART
16
1.3 The LHC magnets
A bending dipole field of 8.33 T is required by a protons beam to reach the
energy of 7 TeV on a circular trajectory with a curvature radius of 2803 m. The
LHC quadrupole magnets are designed for a gradient of 223 Tm−1 and a peak
field of about 7 T. These high-intensity magnetic fields can be achieved efficiently
and practically with superconducting magnets only. The LHC will contain a total
of 8.400 magnets, including the 1232 (15 m long) dipoles, 360 (3.25 m long)
quadrupoles, and the various families of corrector magnets up to dodecapole
orders. The high strength of magnetic field to be achieved in the LHC magnets
leads to the choice of the superconducting technology that allows very high
density currents to flow producing negligible joule heating.[6]
In storage rings like the LHC, stable beams have to run as long as possible on the
circular orbit (for several hundreds of millions of turns), in order to increase the
number of collisions between the counter-rotating beams. This imposes strong
constrains on the tolerable field perturbations along the trajectory. Deviations
from the dipole and quadrupole fields, even if short in both space and time, can
induce instabilities reducing the beam life-time. Higher-order multipoles
correctors are required to compensate the unavoidable imperfections of dipole
and quadrupole magnets. Ideally, a pure n-pole field could be produced by a
current flowing along an infinitely thin cylindrical shell, with a cosine like
distribution,
θ = 0 cos θ
Equation 1.2
where θ is the azimuthal angle.[7]
CHAPTER 1 – CERN
17
Figure 1.4 Generation of pure dipole (a), quadrupole (b) and sextupole (c) fields by I(θ) current
distributions with n=1, 2, and 3, respectively.
Figure 1.4 shows schematically the current distributions that produce pure
dipole, quadrupole, and sextupole fields. The current distribution that can be
practically achieved is only an approximation of the ideal one that would
produce a perfect multipole field magnet.
The LHC dipoles are 15 meters long with a beam aperture of 50 mm in diameter,
giving the possibility to consider the coils as infinitely long, and evaluate the
magnetic field in the x-y complex plane by neglecting the z component. This 2-
dimensional approximation is very convenient to describe in terms of a
complex variable z. In the central part of the dipole taking into account the
properties of the analytical functions, it can be postulated that the magnetic field
generated can be expanded in the complex plane in a power series:[8]
= 1
−1
1
∞
=1
−1
= 1
∞
=1
−1
∙ 10−4
Equation 1.3
where Cn is in units of ∙ 1− while =
−1
1
are the multipoles normalized
respect to the main dipole field and referred to a reference radius =
17. In this way, all the series coefficients cn result dimensionless and are
expressed in so called units of the main field at the reference radius.[8] They are
then multiplied by the scaling factor 10-4 that is the order of the ratio between