A SPectroscopic Survey of Biased Halos in the Reionization Era (ASPIRE): Spectroscopically Complete Census of Obscured Cosmic Star Formation Rate Density at z = 4–6

We present a stringent measurement of the dust-obscured star formation rate density (SFRD) at z = 4–6 from the ASPIRE JWST Cycle-1 medium and ALMA Cycle-9 large program. We obtained JWST/NIRCam grism spectroscopy and ALMA 1.2 mm continuum map along 25 independent quasar sightlines, covering a total...

Full description

Saved in:
Bibliographic Details
Main Authors: Fengwu Sun, Feige Wang, Jinyi Yang, Jaclyn B. Champagne, Roberto Decarli, Xiaohui Fan, Eduardo Bañados, Zheng Cai, Luis Colina, Eiichi Egami, Joseph F. Hennawi, Xiangyu Jin, Hyunsung D. Jun, Yana Khusanova, Mingyu Li, Zihao Li, Xiaojing Lin, Weizhe Liu, Romain A. Meyer, Maria A. Pudoka, George H. Rieke, Yue Shen, Wei Leong Tee, Bram Venemans, Fabian Walter, Yunjing Wu, Huanian Zhang, Siwei Zou
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:The Astrophysical Journal
Subjects:
Online Access:https://doi.org/10.3847/1538-4357/ad9d0e
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832578885347180544
author Fengwu Sun
Feige Wang
Jinyi Yang
Jaclyn B. Champagne
Roberto Decarli
Xiaohui Fan
Eduardo Bañados
Zheng Cai
Luis Colina
Eiichi Egami
Joseph F. Hennawi
Xiangyu Jin
Hyunsung D. Jun
Yana Khusanova
Mingyu Li
Zihao Li
Xiaojing Lin
Weizhe Liu
Romain A. Meyer
Maria A. Pudoka
George H. Rieke
Yue Shen
Wei Leong Tee
Bram Venemans
Fabian Walter
Yunjing Wu
Huanian Zhang
Siwei Zou
author_facet Fengwu Sun
Feige Wang
Jinyi Yang
Jaclyn B. Champagne
Roberto Decarli
Xiaohui Fan
Eduardo Bañados
Zheng Cai
Luis Colina
Eiichi Egami
Joseph F. Hennawi
Xiangyu Jin
Hyunsung D. Jun
Yana Khusanova
Mingyu Li
Zihao Li
Xiaojing Lin
Weizhe Liu
Romain A. Meyer
Maria A. Pudoka
George H. Rieke
Yue Shen
Wei Leong Tee
Bram Venemans
Fabian Walter
Yunjing Wu
Huanian Zhang
Siwei Zou
author_sort Fengwu Sun
collection DOAJ
description We present a stringent measurement of the dust-obscured star formation rate density (SFRD) at z = 4–6 from the ASPIRE JWST Cycle-1 medium and ALMA Cycle-9 large program. We obtained JWST/NIRCam grism spectroscopy and ALMA 1.2 mm continuum map along 25 independent quasar sightlines, covering a total survey area of  ∼35 arcmin ^2 where we search for dusty star-forming galaxies (DSFGs) at z = 0–7. We identify eight DSFGs in seven fields at z = 4–6 through the detection of H α or [O  iii ] λ 5008 lines, including fainter lines such as H β , [O  iii ] λ 4960, [N  ii ] λ 6585, and [S  ii ] λλ 6718,6733 for six sources. With this spectroscopically complete DSFG sample at z = 4–6 and negligible impact from cosmic variance (shot noise), we measure the infrared luminosity function (IRLF) down to L _IR  ∼ 2 × 10 ^11 L _⊙ . We find flattening of IRLF at z = 4–6 towards the faint end (power-law slope $\alpha =0.5{9}_{-0.45}^{+0.39}$ ). We determine the dust-obscured cosmic SFRD at this epoch to be $\mathrm{log}[{\rho }_{\mathrm{SFR},\mathrm{IR}}/({M}_{\odot }\,{\mathrm{yr}}^{-1}\,{\mathrm{Mpc}}^{-3})]=-1.5{2}_{-0.13}^{+0.14}$ . This is significantly higher than previous determinations using ALMA data in the Hubble Ultra Deep Field, which is void of DSFGs at z = 4–6 because of strong cosmic variance (shot noise). We conclude that the majority (66% ± 7%) of cosmic star formation at z  ∼ 5 is still obscured by dust. We also discuss the uncertainty of SFRD propagated from far-IR spectral energy distribution and IRLF at the bright end, which will need to be resolved with future ALMA and JWST observations.
format Article
id doaj-art-13f1a42dffcb4807b2244429ef66a9fa
institution Kabale University
issn 1538-4357
language English
publishDate 2025-01-01
publisher IOP Publishing
record_format Article
series The Astrophysical Journal
spelling doaj-art-13f1a42dffcb4807b2244429ef66a9fa2025-01-30T13:07:55ZengIOP PublishingThe Astrophysical Journal1538-43572025-01-0198011210.3847/1538-4357/ad9d0eA SPectroscopic Survey of Biased Halos in the Reionization Era (ASPIRE): Spectroscopically Complete Census of Obscured Cosmic Star Formation Rate Density at z = 4–6Fengwu Sun0https://orcid.org/0000-0002-4622-6617Feige Wang1https://orcid.org/0000-0002-7633-431XJinyi Yang2https://orcid.org/0000-0001-5287-4242Jaclyn B. Champagne3https://orcid.org/0000-0002-6184-9097Roberto Decarli4https://orcid.org/0000-0002-2662-8803Xiaohui Fan5https://orcid.org/0000-0003-3310-0131Eduardo Bañados6https://orcid.org/0000-0002-2931-7824Zheng Cai7https://orcid.org/0000-0001-8467-6478Luis Colina8https://orcid.org/0000-0002-9090-4227Eiichi Egami9https://orcid.org/0000-0003-1344-9475Joseph F. Hennawi10https://orcid.org/0000-0002-7054-4332Xiangyu Jin11https://orcid.org/0000-0002-5768-738XHyunsung D. Jun12https://orcid.org/0000-0003-1470-5901Yana Khusanova13https://orcid.org/0000-0002-7220-397XMingyu Li14https://orcid.org/0000-0001-6251-649XZihao Li15https://orcid.org/0000-0001-5951-459XXiaojing Lin16https://orcid.org/0000-0001-6052-4234Weizhe Liu17https://orcid.org/0000-0003-3762-7344Romain A. Meyer18https://orcid.org/0000-0001-5492-4522Maria A. Pudoka19https://orcid.org/0000-0003-4924-5941George H. Rieke20https://orcid.org/0000-0003-2303-6519Yue Shen21https://orcid.org/0000-0003-1659-7035Wei Leong Tee22https://orcid.org/0000-0003-0747-1780Bram Venemans23https://orcid.org/0000-0001-9024-8322Fabian Walter24https://orcid.org/0000-0003-4793-7880Yunjing Wu25https://orcid.org/0000-0003-0111-8249Huanian Zhang26https://orcid.org/0000-0002-0123-9246Siwei Zou27https://orcid.org/0000-0002-3983-6484Center for Astrophysics ∣ Harvard & Smithsonian , 60 Garden Street, Cambridge, MA 02138, USA ; fengwu.sun@cfa.harvard.eduDepartment of Astronomy, University of Michigan , 1085 S. University Avenue, Ann Arbor, MI 48109, USA; Steward Observatory, University of Arizona , 933 N Cherry Avenue, Tucson, AZ 85721, USADepartment of Astronomy, University of Michigan , 1085 S. University Avenue, Ann Arbor, MI 48109, USA; Steward Observatory, University of Arizona , 933 N Cherry Avenue, Tucson, AZ 85721, USASteward Observatory, University of Arizona , 933 N Cherry Avenue, Tucson, AZ 85721, USAINAF–Osservatorio di Astrofisica e Scienza dello Spazio , via Gobetti 93/3, I-40129, Bologna, ItalySteward Observatory, University of Arizona , 933 N Cherry Avenue, Tucson, AZ 85721, USAMax Planck Institut für Astronomie , Königstuhl 17, D-69117, Heidelberg, GermanyDepartment of Astronomy, Tsinghua University , Beijing 100084, People’s Republic of ChinaCentro de Astrobiología (CAB) , CSIC-INTA, Ctra. deAjalvir km 4, Torrejón de Ardoz, E-28850, Madrid, SpainSteward Observatory, University of Arizona , 933 N Cherry Avenue, Tucson, AZ 85721, USADepartment of Physics, University of California , Santa Barbara, CA 93106-9530, USA; Leiden Observatory, Leiden University , Niels Bohrweg 2, NL-2333 CA Leiden, NetherlandsSteward Observatory, University of Arizona , 933 N Cherry Avenue, Tucson, AZ 85721, USADepartment of Physics, Northwestern College , 101 7th Street SW, Orange City, IA 51041, USA; School of Physics, Korea Institute for Advanced Study , 85 Hoegiro, Dongdaemun-gu, Seoul 02455, Republic of KoreaMax-Planck-Institut für Astronomie , Königstuhl 17, D-69117 Heidelberg, GermanyDepartment of Astronomy, Tsinghua University , Beijing 100084, People’s Republic of ChinaCosmic Dawn Center (DAWN) , Denmark; Niels Bohr Institute, University of Copenhagen , Jagtvej 128, DK-2200 Copenhagen N, DenmarkSteward Observatory, University of Arizona , 933 N Cherry Avenue, Tucson, AZ 85721, USA; Department of Astronomy, Tsinghua University , Beijing 100084, People’s Republic of ChinaSteward Observatory, University of Arizona , 933 N Cherry Avenue, Tucson, AZ 85721, USADepartment of Astronomy, University of Geneva , Chemin Pegasi 51, 1290 Versoix, SwitzerlandSteward Observatory, University of Arizona , 933 N Cherry Avenue, Tucson, AZ 85721, USASteward Observatory, University of Arizona , 933 N Cherry Avenue, Tucson, AZ 85721, USADepartment of Astronomy, University of Illinois at Urbana-Champaign , Urbana, IL 61801, USA; National Center for Supercomputing Applications, University of Illinois at Urbana-Champaign , Urbana, IL 61801, USASteward Observatory, University of Arizona , 933 N Cherry Avenue, Tucson, AZ 85721, USALeiden Observatory, Leiden University , Niels Bohrweg 2, NL-2333 CA Leiden, NetherlandsMax Planck Institute for Astronomy , Königstuhl 17, D-69117 Heidelberg, GermanyDepartment of Astronomy, Tsinghua University , Beijing 100084, People’s Republic of ChinaDepartment of Astronomy, Huazhong University of Science and Technology , Wuhan, Hubei 430074, People’s Republic of ChinaDepartment of Astronomy, Tsinghua University , Beijing 100084, People’s Republic of China; Chinese Academy of Sciences South America Center for Astronomy, National Astronomical Observatories , CAS, Beijing 100101, People’s Republic of ChinaWe present a stringent measurement of the dust-obscured star formation rate density (SFRD) at z = 4–6 from the ASPIRE JWST Cycle-1 medium and ALMA Cycle-9 large program. We obtained JWST/NIRCam grism spectroscopy and ALMA 1.2 mm continuum map along 25 independent quasar sightlines, covering a total survey area of  ∼35 arcmin ^2 where we search for dusty star-forming galaxies (DSFGs) at z = 0–7. We identify eight DSFGs in seven fields at z = 4–6 through the detection of H α or [O  iii ] λ 5008 lines, including fainter lines such as H β , [O  iii ] λ 4960, [N  ii ] λ 6585, and [S  ii ] λλ 6718,6733 for six sources. With this spectroscopically complete DSFG sample at z = 4–6 and negligible impact from cosmic variance (shot noise), we measure the infrared luminosity function (IRLF) down to L _IR  ∼ 2 × 10 ^11 L _⊙ . We find flattening of IRLF at z = 4–6 towards the faint end (power-law slope $\alpha =0.5{9}_{-0.45}^{+0.39}$ ). We determine the dust-obscured cosmic SFRD at this epoch to be $\mathrm{log}[{\rho }_{\mathrm{SFR},\mathrm{IR}}/({M}_{\odot }\,{\mathrm{yr}}^{-1}\,{\mathrm{Mpc}}^{-3})]=-1.5{2}_{-0.13}^{+0.14}$ . This is significantly higher than previous determinations using ALMA data in the Hubble Ultra Deep Field, which is void of DSFGs at z = 4–6 because of strong cosmic variance (shot noise). We conclude that the majority (66% ± 7%) of cosmic star formation at z  ∼ 5 is still obscured by dust. We also discuss the uncertainty of SFRD propagated from far-IR spectral energy distribution and IRLF at the bright end, which will need to be resolved with future ALMA and JWST observations.https://doi.org/10.3847/1538-4357/ad9d0eJames Webb Space TelescopeStarburst galaxiesHigh-redshift galaxiesLuminous infrared galaxiesGalaxy evolution
spellingShingle Fengwu Sun
Feige Wang
Jinyi Yang
Jaclyn B. Champagne
Roberto Decarli
Xiaohui Fan
Eduardo Bañados
Zheng Cai
Luis Colina
Eiichi Egami
Joseph F. Hennawi
Xiangyu Jin
Hyunsung D. Jun
Yana Khusanova
Mingyu Li
Zihao Li
Xiaojing Lin
Weizhe Liu
Romain A. Meyer
Maria A. Pudoka
George H. Rieke
Yue Shen
Wei Leong Tee
Bram Venemans
Fabian Walter
Yunjing Wu
Huanian Zhang
Siwei Zou
A SPectroscopic Survey of Biased Halos in the Reionization Era (ASPIRE): Spectroscopically Complete Census of Obscured Cosmic Star Formation Rate Density at z = 4–6
The Astrophysical Journal
James Webb Space Telescope
Starburst galaxies
High-redshift galaxies
Luminous infrared galaxies
Galaxy evolution
title A SPectroscopic Survey of Biased Halos in the Reionization Era (ASPIRE): Spectroscopically Complete Census of Obscured Cosmic Star Formation Rate Density at z = 4–6
title_full A SPectroscopic Survey of Biased Halos in the Reionization Era (ASPIRE): Spectroscopically Complete Census of Obscured Cosmic Star Formation Rate Density at z = 4–6
title_fullStr A SPectroscopic Survey of Biased Halos in the Reionization Era (ASPIRE): Spectroscopically Complete Census of Obscured Cosmic Star Formation Rate Density at z = 4–6
title_full_unstemmed A SPectroscopic Survey of Biased Halos in the Reionization Era (ASPIRE): Spectroscopically Complete Census of Obscured Cosmic Star Formation Rate Density at z = 4–6
title_short A SPectroscopic Survey of Biased Halos in the Reionization Era (ASPIRE): Spectroscopically Complete Census of Obscured Cosmic Star Formation Rate Density at z = 4–6
title_sort spectroscopic survey of biased halos in the reionization era aspire spectroscopically complete census of obscured cosmic star formation rate density at z 4 6
topic James Webb Space Telescope
Starburst galaxies
High-redshift galaxies
Luminous infrared galaxies
Galaxy evolution
url https://doi.org/10.3847/1538-4357/ad9d0e
work_keys_str_mv AT fengwusun aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT feigewang aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT jinyiyang aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT jaclynbchampagne aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT robertodecarli aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT xiaohuifan aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT eduardobanados aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT zhengcai aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT luiscolina aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT eiichiegami aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT josephfhennawi aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT xiangyujin aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT hyunsungdjun aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT yanakhusanova aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT mingyuli aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT zihaoli aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT xiaojinglin aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT weizheliu aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT romainameyer aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT mariaapudoka aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT georgehrieke aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT yueshen aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT weileongtee aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT bramvenemans aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT fabianwalter aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT yunjingwu aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT huanianzhang aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT siweizou aspectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT fengwusun spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT feigewang spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT jinyiyang spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT jaclynbchampagne spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT robertodecarli spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT xiaohuifan spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT eduardobanados spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT zhengcai spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT luiscolina spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT eiichiegami spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT josephfhennawi spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT xiangyujin spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT hyunsungdjun spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT yanakhusanova spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT mingyuli spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT zihaoli spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT xiaojinglin spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT weizheliu spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT romainameyer spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT mariaapudoka spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT georgehrieke spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT yueshen spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT weileongtee spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT bramvenemans spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT fabianwalter spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT yunjingwu spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT huanianzhang spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46
AT siweizou spectroscopicsurveyofbiasedhalosinthereionizationeraaspirespectroscopicallycompletecensusofobscuredcosmicstarformationratedensityatz46