Measuring the Mean Free Path of H <scp>i</scp> Ionizing Photons at 3.2 ≤ <i>z</i> ≤ 4.6 with DESI Y1 Quasars

Abstract The mean free path of ionizing photons in the intergalactic medium (IGM; <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mi>λ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">mfp</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>912</mml:mn> </mml:mrow> </mml:msubsup> </mml:math> ) is a crucial quantity in modeling the ionization state of the IGM and the extragalactic ultraviolet background, and it is widely used in hydrodynamical simulations of galaxies and reionization. We construct the largest quasar spectrum data set to date—12,595 signal-to-noise ratio &gt; 3 spectra—using the Y1 observations of the Dark Energy Spectroscopic Instrument, to make the most precise model-independent measurement of the mean free path at 3.2 ≤ z ≤ 4.6. By stacking the spectra in 17 redshift bins and modeling the Lyman-continuum profile, we get a redshift evolution <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mi>λ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">mfp</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>912</mml:mn> </mml:mrow> </mml:msubsup> <mml:mo>∝</mml:mo> <mml:msup> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:mi>z</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>4.27</mml:mn> </mml:mrow> </mml:msup> </mml:math> at 2 ≤ z ≤ 5, which is much shallower than the previous estimate, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mi>λ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">mfp</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>912</mml:mn> </mml:mrow> </mml:msubsup> <mml:mo>∝</mml:mo> <mml:msup> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:mi>z</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>5.4</mml:mn> </mml:mrow> </mml:msup> </mml:math> . We then explore the sources of systematic bias, including the choice of the intrinsic quasar continuum, the consideration of Lyman-series opacity and Lyman-limit opacity evolution, and the definition of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mi>λ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">mfp</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>912</mml:mn> </mml:mrow> </mml:msubsup> </mml:math> . Combining our results with estimates of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mi>λ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">mfp</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>912</mml:mn> </mml:mrow> </mml:msubsup> </mml:math> at higher redshifts, we conclude at high confidence that the evolution in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mi>λ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">mfp</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>912</mml:mn> </mml:mrow> </mml:msubsup> </mml:math> steepens at z ≈ 5. We interpret this inflection as the transition from the end of H i reionization to a fully ionized plasma that characterizes the IGM of the past ∼10 billion yr.

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Journal
The Astrophysical Journal Letters
Published
2025-03-05
DOI
https://doi.org/10.3847/2041-8213/adb48f
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Galaxies: Formation, Evolution, Phenomena
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article

Measuring the Mean Free Path of H i Ionizing Photons at 3.2 ≤ z ≤ 4.6 with DESI Y1 Quasars

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The Astrophysical Journal Letters
Galaxies: Formation, Evolution, Phenomena
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article

Measuring the Mean Free Path of H i Ionizing Photons at 3.2 ≤ z ≤ 4.6 with DESI Y1 Quasars

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article en
1 citations

Abstract

Abstract The mean free path of ionizing photons in the intergalactic medium (IGM; <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mi>λ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">mfp</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>912</mml:mn> </mml:mrow> </mml:msubsup> </mml:math> ) is a crucial quantity in modeling the ionization state of the IGM and the extragalactic ultraviolet background, and it is widely used in hydrodynamical simulations of galaxies and reionization. We construct the largest quasar spectrum data set to date—12,595 signal-to-noise ratio &gt; 3 spectra—using the Y1 observations of the Dark Energy Spectroscopic Instrument, to make the most precise model-independent measurement of the mean free path at 3.2 ≤ z ≤ 4.6. By stacking the spectra in 17 redshift bins and modeling the Lyman-continuum profile, we get a redshift evolution <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mi>λ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">mfp</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>912</mml:mn> </mml:mrow> </mml:msubsup> <mml:mo>∝</mml:mo> <mml:msup> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:mi>z</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>4.27</mml:mn> </mml:mrow> </mml:msup> </mml:math> at 2 ≤ z ≤ 5, which is much shallower than the previous estimate, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mi>λ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">mfp</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>912</mml:mn> </mml:mrow> </mml:msubsup> <mml:mo>∝</mml:mo> <mml:msup> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:mi>z</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>5.4</mml:mn> </mml:mrow> </mml:msup> </mml:math> . We then explore the sources of systematic bias, including the choice of the intrinsic quasar continuum, the consideration of Lyman-series opacity and Lyman-limit opacity evolution, and the definition of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mi>λ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">mfp</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>912</mml:mn> </mml:mrow> </mml:msubsup> </mml:math> . Combining our results with estimates of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mi>λ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">mfp</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>912</mml:mn> </mml:mrow> </mml:msubsup> </mml:math> at higher redshifts, we conclude at high confidence that the evolution in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mi>λ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">mfp</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>912</mml:mn> </mml:mrow> </mml:msubsup> </mml:math> steepens at z ≈ 5. We interpret this inflection as the transition from the end of H i reionization to a fully ionized plasma that characterizes the IGM of the past ∼10 billion yr.

The Astrophysical Journal LettersVol. 981(2)
Openalex Percentile: Top 21%
Galaxies: Formation, Evolution, Phenomena
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