Scenarios (Questions to be used in the meeting style, when groups connect)
- Why are the two tracks of each V0 curved in opposite directions?
- Why is the radius of curvature of the proton bigger than that of the pion in Λ decays?
- Why don’t you see the Λ or the K0 before their decay?
- Why does the Λ not decay to two pions, like the K0?
- Why does the invariant mass have a width and is not a deltafunction?
Questions that will be used in the Zoom polls
* Q1: Are kaons
* Q2: Are Lambdas
* Q3: Why does the invariant mass have a width and is not a delta function?
- Because some of the detectors were not working properly
- Because of the intrinsic resolution of the detectors
* What causes the background in the invariant mass distributions of kaons?
- The two pions do not originate from the same kaon but appear as coming from the same secondary vertex
- One or both pions have been misidentified
- Both of the above
General information on ALICE - Looking for strange particles
The updated document (version 2022) can be found at
https://twiki.cern.ch/twiki/pub/Main/InternationalMasterclassesModeratorManual/ALICE-moderators2022.pdf
Topic of the measurement
• Identify strange particles (V0s : Ks, Λ, anti-Λ) from their decay pattern, combined with calculation of their invariant mass.
• Find number of Ks, Λ, anti-Λ for different centrality regions for lead-lead data.
• Calculate yields for Ks, Λ, anti-Λ and strangeness enhancement factors by comparing to proton-proton data.
What the students do in each institute Visual analysis Using a simplified version of the ALICE event display based on
ROOT, they identify and classify strange particles (V0s : Ks, Λ, anti-Λ) from their decay pattern, combined with invariant mass calculation. Each group of 2 or 3 students looks at 15 events. At the end of this first part, the tutor merges the results of all groups and produces invariant mass plots for Ks, Λ, anti-Λ. During the videoconference, they can give the mass values and width of the peaks.
Large scale analysis - Find V0s in different centrality regions in PbPb collision Students analyse large datasets, by running a programme that selects V0s, calculates the invariant mass and produces an invariant mass plot; each group of 2 or 3 students is assigned a centrality region and they have to find the number of Ks, Λ, anti-Λ in this region. To do this, they have to fit curves to the combinatorial background (2nd degree polynomial) and the peak (Gaussian) and subtract.
Calculation of particle yields and strangeness enhancement factors Each group reports the number of Ks, Λ, anti-Λ they found in the centrality class that they have analysed. The results for the whole class are entered in a spreadsheet as the following
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The number of events in each centrality region is given in the spreadsheet.
The number of participating nucleons in the collision, Npart, which is correlated with the centrality, is also given in the table for each centrality class.
The number of particles measured is less than the number of particles produced; to find the latter we need to take into account the efficiency; efficiency values, for Ks, Λ and anti-Λ, have been estimated and are given in the table.
In the spreadsheet, there are embedded formulas to calculate:
Yield : the number of particles (of a certain type) produced per interaction = Nparticles(produced)/Nevents = Nparticles(measured)/(efficiency x Nevents)
Strangeness enhancement: the particle yield normalised by the number of participating nucleons in the collision, and properly normalised by the yield in proton-proton collisions at the same collision energy.
Ks-Yield(pp) = 0.25 /interaction Λ-Yield(pp) = 0.0615 /interaction ; the same for anti-Λ <Npart> = 2 for pp
NOTE: the above yields for Ks and Λ refer to proton-proton collisions at 2.76
TeV (same energy as for Pb-Pb collisions, 2.76
TeV per nucleon pair); they have been calculated by interpolation, between measured Ks and Λ yields at 900
GeV and 7
TeV [internal ALICE notes].
With all this information a spreadsheet like the following is produced with the information for Ks, Λ and anti-Λ.
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Embedded in the spreadsheet is a scatter plot, showing the enhancement factors for Ks, Λ and anti- Λ versus the number of participants.
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The results of all institutes can be accessed at the url
https://teacher-alice-web-masterclass.app.cern.ch/session
(until 2021 :https://drive.google.com/folderview?id=0B9FfU3MPTgvGZk8wcmFaOE9yX2s&usp=sharing)
Inside this folder, there is an example spreadsheet, results-example.xls
Each institute fills in a spreadsheet with the name results-inst_name-xxxxxx.xls ( inst_name is the name of the institute, e.g. CERN, Nantes, Heidelberg… xxxxxx is the date, e.g. 03032015)
DISCLAIMER : The results in this example – and the results produced by this analysis – are based on a small dataset selected for this measurement and on a number of assumptions and simplifications; therefore they may differ from official ALICE results.
Institutes’ report and comments
Starting from 2017 the institutes no longer give a report of the results during the videoconference. This new concept was introduced because it was considered too repetitive reporting basically the same things up to five times.
By going to the google docs folder as described in the previous section, the moderator should bring to the screen and show the spreadsheet with the institute’s results, including scatter plot. He 'she can comment. Possible comments :
The number of Ks, Lambda and antiLambda (and the calculated yield) is higher for more central collisions and decreases as we go to less central collsions. This is expected since, in the most central ones, up to ~400 nuclei in total interact, which results in thousands of particles produced per collision.
Strangeness enhancement is observed (ratio >1). Ratio=1 would mean that there is no difference between collisions of nucleons of the lead nuclei and collisions of protons.
Show ALICE results.
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The students have only measured Λ (1 strange quark); Their measurement is in agreement with the ALICE results, within errors. (In addition, assumptions were made about the efficiency – real life analysis takes much longer – things were simplified here to complete the measurement).
The other particles shown on the plot have higher content of s-quarks: the Ξ has 2, the Ω 3. Strangeness enhancement increases with the number of strange quarks in the baryon. Note
If there is a problem with accessing google docs, the institutes can use excel spreadsheets with embedded scatter plots on their local computer. They can then show them by screen sharing.
Additional information can be found at the URL
http://aliceinfo.cern.ch/public/MasterCL/MasterClassWebpage.html
the text describing the measurement also “Instructions to the Institutes”
http://aliceinfo.cern.ch/public/MasterCL/InstituteInstructions2016.pdf
Temperature Calculation
An additional comment can be made by the moderators on the calculation of temperature from particle ratios, along the lines:
Our observation of the number of produced Lambdas and Kaons can serve as a thermometer of the matter which is produced in the collision.
If you had measured Lambdas + Anti_Lambdas and K0s per event in the 0-5% centrality Pb-Pb events and then corrected for detection efficiency (pt-integrated), you would have obtained the following values (preliminary ALICE analysis results, not yet published):
NK0s = 123.9 ± 7 (which is the dN/dy per event) NΛ = 28.8 ± 3
We then put the NK0s in relation with the number of produced pions per event. The following value has been measured for the 0-5% centrality Pb-Pb event
Nπ+ = 792.1 ± 44.1
We form the ratio and obtain
NK0s / Nπ+ = 0.156 ± 0.012 NΛ / Nπ+ = 0.036 ± 0.004
From the plot below we can then roughly judge at which temperatures the particles were produced:
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The curves are produced with a so-called thermal model. It relates the relative abundance of particles with the temperatures in the fireball. Very roughly speaking, it shows that the production of particle of mass mi is proportional to ~ exp(-mi/T). We can see this also in the plot showing that the heavier lambdas are produced less often than the lighter kaons. Thus, our observation of the number of produced Lambdas and Kaons can serve as a thermometer of the matter which is produced in the collision. Our results show that the temperature of the fireball is somewhere between 120
MeV and 180
MeV corresponding to roughly 1.74×1012 K (compared to 5.778 K on the surface of the sun -- factor 1 billion). Within 2σ the two ratios are even in agreement with a single temperature.
- ALICE published results on strangeness enhancement:
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