DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Cosmic rays in molecular clouds probed by H2 rovibrational lines

Journal Article · · Astronomy and Astrophysics

Context. Low-energy cosmic rays (<1 TeV) play a fundamental role in the chemical and dynamical evolution of molecular clouds, as they control the ionisation, dissociation, and excitation of H2. Their characterisation is therefore important both for the interpretation of observations and for the development of theoretical models. However, the methods used so far for estimating the cosmic-ray ionisation rate in molecular clouds have several limitations due to uncertainties in the adopted chemical networks. Aims. Here, we refine and extend a previously proposed method to estimate the cosmic-ray ionisation rate in molecular clouds by observing rovibrational transitions of H2 at near-infrared wavelengths, which are mainly excited by secondary cosmic-ray electrons. Methods. Combining models of interstellar cosmic-ray propagation and attenuation in molecular clouds with the rigorous calculation of the expected secondary electron spectrum and updated electron-H2 excitation cross sections, we derive the intensity of the four H2 rovibrational transitions observable in cold dense gas: (1—0)O(2), (1—0)Q(2), (1—0)S(0), and (1—0)O(4). Results. The proposed method allows the estimation of the cosmic-ray ionisation rate for a given observed line intensity and H2 column density. We are also able to deduce the shape of the low-energy cosmic-ray proton spectrum impinging upon the molecular cloud. In addition, we present a look-up plot and a web-based application that can be used to constrain the low-energy spectral slope of the interstellar cosmic-ray proton spectrum. We finally comment on the capability of the James Webb Space Telescope to detect these near-infrared H2 lines, which will make it possible to derive, for the first time, spatial variation in the cosmic-ray ionisation rate in dense gas. Besides the implications for the interpretation of the chemical-dynamic evolution of a molecular cloud, it will finally be possible to test competing models of cosmic-ray propagation and attenuation in the interstellar medium, as well as compare cosmic-ray spectra in different Galactic regions

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
2310316
Report Number(s):
LA-UR--21-29186
Journal Information:
Astronomy and Astrophysics, Journal Name: Astronomy and Astrophysics Vol. 658; ISSN 0004-6361
Publisher:
EDP SciencesCopyright Statement
Country of Publication:
United States
Language:
English

References (114)

Analytic Cross Sections for Collisions of h+, h2+, h3+, h, h2, and h− with Hydrogen Molecules journal September 2000
Cosmic Ray Astrophysics book January 2002
Impact of Low-Energy Cosmic Rays on Star Formation journal March 2020
Electron-impact excitation and ionization cross sections for ground state and excited helium atoms journal July 2008
Complete collision data set for electrons scattering on molecular hydrogen and its isotopologues: I. Fully vibrationally-resolved electronic excitation of H 2 ( X 1 Σ g + ) journal January 2021
Rotational excitation of molecules by electron collisions journal July 2005
Analytic expression for the energy-transfer rate from photoelectrons to thermal-electrons journal December 1971
Cosmic ray measurements from Voyager 2 as it crossed into interstellar space journal November 2019
Cold clouds as cosmic-ray detectors journal February 2020
Cosmic-ray astrochemistry journal January 2013
Cosmic-ray ionization of molecular clouds journal May 2009
Herschel/HIFI observations of interstellar OH+and H2O+towards W49N: a probe of diffuse clouds with a small molecular fraction journal October 2010
Effects of magnetic fields on the cosmic-ray ionization of molecular cloud cores journal May 2011
Ionization toward the high-mass star-forming region NGC 6334 I journal March 2014
Cosmic-ray ionisation in collapsing clouds journal December 2013
Cosmic-ray acceleration in young protostars journal October 2015
Protostars: Forges of cosmic rays? journal April 2016
Ionization fraction and the enhanced sulfur chemistry in Barnard 1 journal September 2016
Seeds of Life in Space (SOLIS): I. Carbon-chain growth in the Solar-type protocluster OMC2-FIR4⋆⋆⋆ journal September 2017
Cosmic-ray ionisation in circumstellar discs journal June 2018
Magnetic field in a young circumbinary disk journal August 2018
Production of atomic hydrogen by cosmic rays in dark clouds journal November 2018
Synchrotron emission in molecular cloud cores: the SKA view journal November 2018
ALMA resolves the hourglass magnetic field in G31.41+0.31 journal September 2019
Survey of ortho-H2D+ in high-mass star-forming regions journal November 2020
The double signature of local cosmic-ray acceleration in star-forming regions journal May 2021
Spectral index of synchrotron emission: insights from the diffuse and magnetised interstellar medium journal January 2021
On the low ortho-to-para H2 ratio in star-forming filaments journal October 2021
Constraining the cosmic-ray ionization rate and spectrum with NIR spectroscopy of dense clouds journal February 2022
Three-fluid plasmas in star formation journal March 2008
Electron‐Impact Cross Sections and Energy Deposition in Molecular Hydrogen journal February 1972
Cross Sections for Electron Collisions with Hydrogen Molecules journal June 2008
A Study of the Vibrational Excitation of H2 by Measurements of the Drift Velocity of Electrons in H2−Ne Mixtures journal January 1988
Low Energy Electron Scattering From H2 journal January 1990
Interstellar H3+ journal August 2006
Ionization, dissociation, and heating efficiencies of cosmic rays in a gas of molecular hydrogen journal January 1978
Fluorescent excitation of interstellar H2 journal November 1987
The infrared response of molecular hydrogen gas to ultraviolet radiation - A scaling law journal September 1988
Molecule formation and infrared emission in fast interstellar shocks. III - Results for J shocks in molecular clouds journal July 1989
Infrared Response of H 2 to X-Rays journal June 1995
Structure of Stationary Photodissociation Fronts journal September 1996
The Ionization Fraction in Dense Cloud Cores journal May 1998
Structure and Evolution of the Envelopes of Deeply Embedded Massive Young Stars journal July 2000
Electron Energy Deposition in a Gas Mixture of Atomic and Molecular Hydrogen and Helium journal November 1999
The Distribution of Thermal Pressures in the Interstellar Medium from a Survey of C i Fine‐Structure Excitation journal December 2001
Detection of H 2 D + : Measuring the Midplane Degree of Ionization in the Disks of DM Tauri and TW Hydrae journal April 2004
Abundances and Behavior of 12 CO, 13 CO, and C 2 in Translucent Sight Lines journal January 2007
The Ionization Fraction of Barnard 68: Implications for Star and Planet Formation journal August 2007
On the Enhanced Cosmic‐Ray Ionization Rate in the Diffuse Cloud toward ζ Persei journal March 2008
Simultaneous Determination of the Cosmic Ray Ionization Rate and Fractional Ionization in DR 21(OH) journal September 2008
Formation Pumping of Molecular Hydrogen in dark Clouds journal November 2010
The Distribution of Thermal Pressures in the Diffuse, cold Neutral Medium of our Galaxy. ii. an Expanded Survey of Interstellar c i Fine-Structure Excitations journal May 2011
The Interaction of Cosmic rays with Diffuse Clouds journal September 2011
INVESTIGATING THE COSMIC-RAY IONIZATION RATE IN THE GALACTIC DIFFUSE INTERSTELLAR MEDIUM THROUGH OBSERVATIONS OF H + 3 journal January 2012
Diffuse Molecular Cloud Densities from uv Measurements of co Absorption journal August 2013
LOCAL H i EMISSIVITY MEASURED WITH FERMI -LAT AND IMPLICATIONS FOR COSMIC-RAY SPECTRA journal June 2015
Interstellar dust Charging in Dense Molecular Clouds: Cosmic ray Effects journal October 2015
Electron impact excitation of H 2 (D 2 ). Resonance phenomena associated with the X 2 Σ u + and B 2 Σ g + states of H 2 - in the 10 eV region journal September 1984
The total excitation cross section of the c 3 Π u state of H 2 journal September 1986
New experimental techniques in the study of electron swarms in gases and their impact on the determination of low energy electron scattering cross sections journal January 1994
Elastic scattering and rovibrational excitation of H 2 by low-energy electrons journal March 1991
Differential cross sections for the electron impact excitation of the b 3 Sigma u + continuum of molecular hydrogen journal June 1994
Differential cross-sections for the electron impact excitation of the B 1   u   , c 3   u , a 3   g   , C 1   u , E, F 1   g   and e 3   u   states of molecular hydrogen journal November 2002
Differential cross sections for excitation of H 2 by low-energy electron impact journal November 2017
Application of molecular convergent close-coupling cross sections in a collisional radiative model for the triplet system of molecular hydrogen journal January 2021
HERSCHEL FINDS EVIDENCE FOR STELLAR WIND PARTICLES IN A PROTOSTELLAR ENVELOPE: IS THIS WHAT HAPPENED TO THE YOUNG SUN? journal July 2014
MORE EVIDENCE THAT VOYAGER 1 IS STILL IN THE HELIOSPHERE journal June 2015
On the ortho-H2/para-H2 ratio in molecular clouds journal July 1984
Cosmic ray induced photons in dense interstellar clouds journal September 1992
CO/H2, C/CO, OH/CO, and OH/O2 in dense interstellar gas: from high ionization to low metallicity journal May 2015
Imprints of cosmic rays in multifrequency observations of the interstellar emission journal December 2017
A new proxy to estimate the cosmic ray ionization rate in dense cores journal March 2020
Cosmic ray penetration in diffuse clouds journal June 2015
Resonance Scattering of Slow Electrons from H 2 and CO Angular Distributions journal September 1968
Linear polarization fractions of Fulcher- α fluorescence in electron collisions with H2 journal October 2021
Angular distributions of electrons elastically scattered from H 2 journal October 1981
Electron-impact excitation of the a Σ g + 3 , B Σ u + 1 , c Π u 3 , and C Π u 1 states of H 2 journal July 1986
Electron-impact excitation cross sections for the b Σ u + 3 state of H 2 journal April 1987
Extension of the binary-encounter-dipole model to relativistic incident electrons journal October 2000
Electron-impact excitation of the B   Σ 1 u + and C   Π 1 u electronic states of H 2 journal June 2008
Electron-impact excitation of molecular hydrogen journal February 2017
Low-energy electron-impact dissociative excitation of molecular hydrogen and its isotopologues journal December 2017
Time-of-flight electron scattering from molecular hydrogen: Benchmark cross sections for excitation of the X 1 Σ g + → b 3 Σ u + transition journal May 2018
Low-energy electron scattering from molecular hydrogen: Excitation of the X 1 Σ g + to b 3 Σ u + transition journal December 2018
Fermi LAT observations of cosmic-ray electrons from 7 GeV to 1 TeV journal November 2010
Cosmic-Ray Electron Flux Measured by the PAMELA Experiment between 1 and 625 GeV journal May 2011
Electron and Positron Fluxes in Primary Cosmic Rays Measured with the Alpha Magnetic Spectrometer on the International Space Station journal September 2014
Precision Measurement of the Proton Flux in Primary Cosmic Rays from Rigidity 1 GV to 1.8 TV with the Alpha Magnetic Spectrometer on the International Space Station journal April 2015
Stochastic Fluctuations of Low-Energy Cosmic Rays and the Interpretation of Voyager Data journal September 2021
Bremsstrahlung, Synchrotron Radiation, and Compton Scattering of High-Energy Electrons Traversing Dilute Gases journal April 1970
Electron production in proton collisions with atoms and molecules: energy distributions journal April 1992
The interstellar environment of our galaxy journal December 2001
Differential Cross Sections of Electron Scattering from Molecular Hydrogen I. Elastic Scattering and Vibrational Excitation ( X 1 Σ + g , v =0→1) journal May 1985
Differential Cross Section of Electron Scattering from Molecular Hydrogen. II. b 3 Σ u + Excitation journal September 1986
Magnetic Fields in Molecular Clouds journal September 2012
Cosmic Magnetobremsstrahlung (Synchrotron Radiation) journal September 1965
Physics of the Interstellar and Intergalactic Medium book December 2011
Rotational and Vibrational Excitation of H2 by Slow Electron Impact journal October 1971
Gamma Rays as Probes of Cosmic-Ray Propagation and Interactions in Galaxies journal May 2021
ANALYTIC H i-to-H 2 PHOTODISSOCIATION TRANSITION PROFILES journal May 2016
GALACTIC COSMIC RAYS IN THE LOCAL INTERSTELLAR MEDIUM: VOYAGER 1 OBSERVATIONS AND MODEL RESULTS journal October 2016
The Cosmic-Ray Ionization Rate in the Galactic Disk, as Determined from Observations of Molecular Ions journal August 2017
SOLIS IV. Hydrocarbons in the OMC-2 FIR4 Region, a Probe of Energetic Particle Irradiation of the Region journal June 2018
Exploration of Cosmic-ray Acceleration in Protostellar Accretion Shocks and a Model for Ionization Rates in Embedded Protoclusters journal July 2018
Magnetic Mirroring and Focusing of Cosmic Rays journal August 2018
Diffusive versus Free-streaming Cosmic-Ray Transport in Molecular Clouds journal June 2019
Chemical Abundances in a Turbulent Medium–H 2 , OH + , H 2 O + , ArH + journal November 2019
Constraining Cosmic-Ray Ionization Rates and Chemical Timescales in Massive Hot Cores journal January 2020
Rigorous Theory for Secondary Cosmic-Ray Ionization journal March 2021
${{\rm{H}}}_{2}\,X{}^{1}{{\rm{\Sigma }}}_{g}^{+}-c{}^{3}{{\rm{\Pi }}}_{u}$ Excitation by Electron Impact: Energies, Spectra, Emission Yields, Cross-sections, and H(1s) Kinetic Energy Distributions journal September 2017
The Herschel -PACS Legacy of Low-mass Protostars: The Properties of Warm and Hot Gas Components and Their Origin in Far-UV Illuminated Shocks journal March 2018
H2 Ortho-to-para Conversion on Grains: A Route to Fast Deuterium Fractionation in Dense Cloud Cores? journal November 2017
Gravity-driven Magnetic Field at ∼1000 au Scales in High-mass Star Formation journal June 2021
Cosmic-Ray Acceleration from Turbulence in Molecular Clouds journal August 2021