Probing the Epoch of Reionization with Lyman-Alpha Emitters
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UNIVERSITY OF GRONINGEN BACHELOR THESIS Probing the Epoch of Reionization with Lyman-alpha emitters Author: Supervisors: Thijs LUGGENHORST Dr. Anne HUTTER Dr. Pratika DAYAL 2nd Examiner: Prof. dr. Leon KOOPMANS Abstract In this thesis, a physical model for high-redshift Lyman-alpha emitters (LAEs) at the end of the Epoch of Reionization is analyzed. The aim of the research is to find out how the clustering of LAEs, divided in luminosity categories faint, intermediate and bright, changes as reionization proceeds. Three snapshots of a simulation box (of size 80 h−1 Mpc in all three spatial dimensions) at a fixed redshift of = hχ i = hχ i = z 6.6 are taken at different stages of reionization ((a) HI 0.50, (b) HI 0.25 and (c) hχ i = HI 0.10). A sample of Lyman Break Galaxies (LBGs) is also analyzed for comparison between LAEs and LBGs. Bright galaxies show more clustering than intermediate ones, which show more hχ i = clustering than faint galaxies. The clustering of LAEs is found to be highest at HI 0.50 and lowest hχ i = at HI 0.10. This means that more LAEs are detected as reionization proceeds. The clustering model is compared to observational results by Kashikawa et al. (2006) and Ouchi et al. (2010). The clustering of LAEs in the model is found to be higher than the results by aforementioned authors. Reasons for the difference between the results include the fact that only one line-of-sight to the galaxy = simulation box was considered, a fixed escape fraction fesc 0.50 for all galaxies in the model, a limit hχ i = of the ionized fraction of HI 0.10, coincidental homogeneous sky observations, or the lack of confirmed LAEs in observations. Kapteyn Astronomical Institute Tuesday 27th November, 2018 Contents 1 Acknowledgements 2 2 Introduction 3 2.1 Formation of hydrogen to formation of stars ........................... 3 2.2 The Epoch of Reionization ....................................... 3 2.3 Discovery of reionozation ....................................... 4 2.4 Detection of reionization ....................................... 4 3 Theoretical Background 6 3.1 Halo mass function and luminosity function ............................ 6 3.2 Lyman-alpha radiation ......................................... 6 3.2.1 Lyman series .......................................... 6 3.2.2 Lyman-alpha emitters ..................................... 7 3.3 Probing reionization .......................................... 8 3.3.1 Using quasars to probe reionization ............................ 8 3.3.2 Using LAEs to probe reionization .............................. 8 3.4 Lyman Break Galaxies ......................................... 10 4 Methodology 11 4.1 Data .................................................... 11 4.2 Correlation function .......................................... 11 4.2.1 Spatial two-point correlation function ........................... 11 4.2.2 Angular correlation function ................................. 12 4.2.3 Estimators ............................................ 13 4.2.4 Computation of correlation function ............................ 13 5 Results and Discussion 16 5.1 Galaxy properties ............................................ 16 5.2 Correlation function .......................................... 17 5.3 Comparison with observations .................................... 19 5.3.1 Comparison with Kashikawa et al. (2006) ........................ 20 5.3.2 Comparison with Ouchi et al. (2010) ........................... 21 6 Conclusions 25 6.1 Future research ............................................. 26 1 Chapter 1 Acknowledgements First off I would like to thank dr. Anne Hutter for supervising me in this bachelor project. She could consistently provide me with excellent help and always took the time to make sure I understood the problems that she would explain to me. I would also like to thank dr. Pratika Dayal for supplying the thesis and providing the necessary help. Attending the meetings of her master and PhD research group, during which I was allowed to present a few papers, improved my skills in reading and understanding scientific articles. I would like to thank the master students and PhDs in the research group for their support and helpful insights: Laurent Legrand, Olmo Piana, Jonas Bremer, Nikki Arendse and Ruslan Brilenkov. At last I want to express my gratitude towards many students at the Kapteyn Institute that were of great help to me during the time of working on this bachelor thesis: Roi Kugul, Danny Sardjan, Francis Tang, Nick Oberg, Jesper Tjoa, Casper Farret Jentink and Bas Roelenga. 2 Chapter 2 Introduction After the Big Bang, the Universe underwent two major hydrogen gas phase transitions. The first phase transition was recombination. It put an end to the hot ‘plasma soup’ 380.000 years after the Big Bang, at a redshift of z ≈ 1089. For the first time ever, protons and electrons became bound to form neutral hydrogen atoms. The extensive period that followed before the first stars would form was dubbed The Dark Ages. It was long understood that there must have been a period in the timeline of the Universe between recombination and ‘today’ where the neutral hydrogen in the Universe got reionized. However, only in the year 2001, observations provided us with first hints towards reionization (the second phase transition). A quasar was discovered at z = 5.73 that showed a feature in its spectrum, exactly matching expectations of a quasar in the end of the so called Epoch of Reionization. More details about this feature can be read in 2.4. Further spectroscopic studies (e.g. Becker et al. (2001), Kashikawa et al. (2006) and Ouchi et al. (2010)) improved our knowledge on the Epoch of Reionization. Today, research suggests that this period took place in the redshift range 6 < z < 20, approximately. 2.1 Formation of hydrogen to formation of stars Before the Dark Ages, the matter in the Universe was a dense, hot plasma. Atoms did not exist in this high energy state of the Universe. Photons ‘trapped’ in the plasma only traveled a very short distance, due to the very short mean free path before encountering an electron and interacting with it (exchanging energy). This particle-particle interaction is called ‘scattering’. However, due to the expansion of the Universe after the Big Bang, the mean free path of photons extended. Eventually, the matter had been diffused to such a degree that it became energetically favorable to form hydrogen; the size of the Universe was large enough for the recombination rate of protons and electrons to be higher than the hydrogen-photon scattering rate. The expansion also meant cooling of the matter and radiation in the Universe. At some point, photons were able to escape the gas in which they were trapped. Photons that would not get absorbed by other neutral hydrogen atoms could freely travel through the Universe. These photons can still be detected today as the Cosmic Microwave Background (CMB). The CMB radiation is detected as thermal emission from all parts of the sky. As there were no stars yet, CMB photons, together with photons that would get emitted by a hydrogen spin transition were the only sources of light in the Universe at this point in time. This timeframe is therefore called The Dark Ages. It would take another few million years before the hydrogen regions in the Universe became dense enough to collapse and form stars. 2.2 The Epoch of Reionization With the emergence of stars after about 200 million years after the Big Bang, the Dark Ages slowly came to an end. However, these stars were relatively small and faint. At some point, stars became so energetic that they were able to radiate at energies higher than the binding energy of hydrogen. This UV radiation started to ionize neutral hydrogen gas in the intergalactic medium (IGM), marking the beginning of a new era: the Epoch of Reionization. As a consequence of the ionization, the gas in the IGM was heated. This affected galaxy formation on the faint end of the luminosity function, as the increase of temperature caused less gas to be bound in halos. Affected galaxies hence had less gas available, suppressing star formation. These mechanisms affected the subsequent evolution 3 2.3. DISCOVERY OF REIONOZATION CHAPTER 2. INTRODUCTION and formation of galaxies; the Epoch of Reionization indirectly impacted galaxies that we see today. Reionization, and thereby the epoch named after it, finished at z ≈ 6 when all hydrogen was ionized. 2.3 Discovery of reionozation When one observes the sky at redshifts below z ≈ 6, basically everything is visible unless dust or other particles are blocking the view between an object and Earth. Neutral hydrogen absorbs radiation at wavelengths λ ≤ 1216 Å (the energy difference between the ground state and first excited state of hydrogen). Photons with wavelengths below that point are able to excite (or ionize if λ ≤ 912 Å) hydrogen, blocking the line of sight. Because spectra of nearby objects only show very sharp absorption lines at hydrogen exciting or ionizing wavelengths, astronomers before the 90’s knew that close to all of the hydrogen in the Universe was ionized in the nearby Universe. This meant that, even before the advent of telescopes that were able to look at high redshifts (past z ≈ 5), astronomers knew that at some point between the formation of hydrogen and ‘today’, the hydrogen in the Universe got reionized. They did not know when the reionization had taken place. Nonetheless, it was clear that neutral hydrogen should cause a drop of flux (at hydrogen exciting wavelengths) in