Energy spectra of gamma-rays, electrons and neutrinos produced at proton-proton interactions in the very high energy regime

Abstract

We present new parametrisations of energy spectra of secondary particles, $\pi$-mesons, gamma-rays, electrons and neutrinos, produced in inelastic proton-proton collisions. The simple analytical approximations based on imulations of proton-proton interactions using the public available SIBYLL code, provide very good accuracy for energy distributions of secondary products in the energy range above 100 GeV. Generally, the recommended analytical formulae deviate from the simulated distributions within a few percent over a large range of $x=E_i/E_p$ - the fraction of energy of the incident proton transferred to the secondaries. Finally, we describe an approximate procedure of continuation of calculations towards low energies, down to the threshold of $\pi$-meson production.

16 pages, 14 figures, submitted to Phys ReV D (Dec 30, 2005), revised after the referee reports (Fig 3 and Appendix added)

References in corpus (1)

• Expected neutrino signal from supernova remnant RX J1713.7-3946 and flavor oscillations

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• On the energy of the protons producing the very high-energy astrophysical neutrinos
• Production of Neutrinos and Secondary Electrons in Cosmic Sources
• Starburst Nuclei as Light Dark Matter Laboratories
• Exploring multimessenger signals from heavy dark matter decay with EDGES 21-cm result and IceCube
• Near-future discovery of point sources of ultra-high-energy neutrinos
• High energy cosmic rays and gamma rays from star clusters: the case of Cygnus OB2
• Does the SN rate explain the very high energy cosmic rays in the central 200 pc of our Galaxy?
• The environment of the gamma-ray emitting SNR G338.3-0.0: a hadronic interpretation for HESS J1640-465
• Possible contribution of X-ray binary jets to the Galactic cosmic ray and neutrino flux
• Neutrino Emission from Luminous Fast Blue Optical Transients
• New constraints on the gamma-ray and high energy neutrino fluxes from the circumstellar interaction of SN 2023ixf
• Ultrahigh-energy Gamma Rays and Gravitational Waves from Primordial Exotic Stellar Bubbles
• Simulations of neutrino and gamma-ray production from relativistic black-hole microquasar jets
• Modeling the gamma-ray emission in the Galactic Center with a fading cosmic-ray accelerator
• Detection of Gamma-Rays from the Protostellar Jet in the HH 80-81 System
• Implications of supernova remnant origin model of galactic cosmic rays on Gamma rays from young supernova remnants
• A model for microquasars of Population III
• Multiwavelength Investigation of Pulsar Wind Nebula DA 495 with HAWC, VERITAS, and NuSTAR
• Simulating TeV gamma-ray morphologies of shell-type supernova remnants
• Radio-to-gamma-ray synchrotron and neutrino emission from proton-proton interactions in active galactic nuclei
• Paramaterizations of inclusive cross sections for pion production in proton-proton collisions. II. Comparison to new data
• Lepto-hadronic interpretation of 2021 RS Ophiuchi nova outburst
• Modeling non-thermal emission from stellar bow shocks
• A Self-Consistent Explanation of TeV Emissions from HESS J1640-465 and HESS J1641-463
• The Extended X-ray Nebula of PSR J1420-6048
• On the Challenges of Cosmic-Ray Proton Shock Acceleration in the Intracluster Medium
• A two-zone approach to neutrino production in gamma-ray bursts
• Identifying Galactic Sources of High-Energy Neutrinos
• Atmospheric muons measured with the KM3NeT detectors in comparison with updated numeric predictions
• Dynamical and radiative simulations of $\gamma$-ray jets in microquasars
• Gamma rays and neutrinos from a cosmic ray source in the Galactic Center region
• Probing the non-thermal physics of stellar bow shocks using radio observations
• Positron Excess from Cosmic Ray Interactions in Galactic Molecular Clouds
• Probing LHAASO Galactic PeVatrons through gamma-ray and neutrino correspondence
• Subphotospheric emission from short gamma-ray bursts: Protons mold the multi-messenger signals
• The role of the diffusive protons in the gamma-ray emission of supernova remnant RX J1713.7$-$3946 --- a two-zone model
• Unveiling the nature of galactic TeV sources with IceCube results
• Neutrino production in Population III microquasars
• Search for muon-neutrino emission from GeV and TeV gamma-ray flaring blazars using five years of data of the ANTARES telescope
• Nonthermal emission in the lobes of Fornax A
• Limits on the source properties of FR-I galaxies from high-energy neutrino and gamma observations
• Prospects for $\gamma$-ray observations of the Perseus galaxy cluster with the Cherenkov Telescope Array
• Cosmic rays, neutrinos and GeV-TeV gamma rays from Starburst Galaxy NGC 4945
• Studying the nature of the unidentified gamma-ray source HESS J1841-055 with the MAGIC telescopes
• Intrusion of MeV-TeV Cosmic-Rays into Molecular Clouds Studied by Ionization, the Neutral Iron Line, and Gamma-Rays
• Searching for High Energy Neutrino counterpart signals; The case of the Fermi Bubbles signal and of Dark Matter annihilation in the inner Galaxy
• The Important Role of Cosmic-Ray Re-Acceleration
• Small-Scale Magnetic Fields are Critical to Shaping Solar Gamma-Ray Emission
• Microquasar Cyg X-3 -- a unique jet-wind neutrino factory?
• The prototype X-ray binary GX 339-4: using TeV gamma-rays to assess LMXBs as Galactic cosmic ray accelerators
• Evidence of a spectral break in the gamma-ray emission of the disk component of Large Magellanic Cloud: a hadronic origin?
• Reconstruction efficiency and discovery potential of a Mediterranean neutrino telescope: A simulation study using the Hellenic Open University Reconstruction & Simulation (HOURS) package
• Confinement and diffusion time-scales of CR hadrons in AGN-inflated bubbles
• The evolution of the large-scale emission in FRI jets
• Star-forming galaxies as the origin of IceCube neutrinos: Reconciliation with Fermi-LAT gamma rays
• High Energy Gamma Rays from Nebulae Associated with Extragalactic Microquasars and Ultra-Luminous X-ray Sources
• Distinctive nuclear signatures of low-energy atmospheric neutrinos
• Measuring the Mass of Missing Baryons in the Halo of Andromeda Galaxy with Gamma-Ray Observations
• Gamma-ray Production in the Extended Halo of the Galaxy and Possible Implications for the Origin of Galactic Cosmic Rays
• Theoretical study of ionization profiles of molecular clouds near supernova remnants: Tracing the hadronic origin of GeV gamma radiation
• A Possible Hadronic Origin of TeV Photon Emission from SNR G106.3+2.7
• On the nature of the AGILE galactic transient sources
• Galactic Energetic Particles and Their Radiative Yields in Clusters
• Acceleration of Thermal Protons By Generic Phenomenological Mechanisms
• Setting an upper limit for the total TeV neutrino flux from the disk of our Galaxy
• Impact of anisotropic cosmic-ray transport on the gamma-ray signatures in the Galactic Center
• Imprints of PeV cosmic-ray sources on the diffuse gamma-ray emission
• Neutrinos from the gamma-ray source eHWC J1825-134: predictions for Km${}^3$ detectors
• Mass and Life Time of Heavy Dark Matter Decaying into IceCube PeV Neutrinos
• Beyond first light: Global monitoring for high-energy neutrino astronomy
• LHAASO protons versus LHAASO diffuse gamma-rays: a consistency check
• Probing the cosmic ray mass composition in the knee region through TeV secondary particle fluxes from solar surroundings
• Implications of the pulsar wind nebula scenario for a TeV gamma-ray source VER J2016+371
• Probing the origin of cosmic rays in Cygnus Cocoon using ultrahigh-energy gamma-ray and neutrino observations
• Relativistic Magnetized Astrophysical Plasma Outflows in Black-Hole Microquasars
• Studying the non-thermal lobes of IRAS 16547-4247 through a multi-wavelength approach
• Search for galactic Pevatron candidates in a population of unidentified gamma-ray sources
• Non-thermal emission in lobes of radio galaxies: III. 3C 98, Pictor A, DA 240, Cygnus A, 3C 326, and 3C 236
• Diffuse flux of galactic neutrinos and gamma rays
• A Multi-Wavelength Investigation of the Unidentified Gamma-Ray Source HESS J1708-410
• The origin of Cosmic-Rays from SNRs: confirmations and challenges after the first direct proof
• Searching for Overionized Plasma in the Gamma-ray Emitting Supernova Remnant G349.7$+$0.2
• Cosmic ray backgrounds for dark matter indirect detection
• Gamma-ray emission from massive star forming regions
• PeV neutrinos from wind breakouts of type II supernovae
• Multimessenger observations of counterparts to IceCube-190331A
• Hard TeV Gamma-Ray Afterglows of Nearby GRB 190829A as a Tentative Signature of Ultra-High-Energy Cosmic Rays Accelerated in Gamma-Ray Burst Jets
• Prompt TeV Emission from Cosmic Rays Accelerated by Gamma Ray Bursts Interacting with Surrounding Stellar Wind
• Exploring the high energy frontiers of the Milky Way with ground-based gamma-ray astronomy: PeVatrons and the quest for the origin of Galactic cosmic-rays
• Role of magnetic arcades in explaining the puzzle of the gamma-ray emission from the solar disk
• Energetic Particles in Halos of Star Forming Galaxies
• The Origin of the Very-High-Energy Diffuse $\gamma$-Ray Emission: The Case for Galactic Source Cocoons
• Detectors for high-energy messengers from the Universe
• Modelling the persistent low-state $\gamma$-ray emission of the PKS 1510-089 blazar with electromagnetic cascades initiated in hadronuclear interactions
• Mapping large-scale diffuse gamma-ray emission in 10-100 TeV band with Cherenkov telescopes
• Astrophysical neutrinos: theory
• Spatially decomposed $\gamma$-ray features surrounding SNR Kes 79 & PSR J1853+0056
• A Hadronic Scenario for the Galactic Ridge
• Gamma-Ray Emission from Supernova Remnants and Surrounding Molecular Clouds
• Exploring the role of composition and mass-loading on the properties of hadronic jets
• Non-thermal processes in the cluster of galaxies Abell 3376
• Prospects for combined analyses of hadronic emission from $\gamma$-ray sources in the Milky Way with CTA and KM3NeT
• Prospects of newly detecting nearby star-forming galaxies by the Cherenkov Telescope Array
• Modeling Hadronic Gamma-ray Emissions from Solar Flares and Prospects for Detecting Non-thermal Signatures from Protostars
• Constraining the hadronic properties of star-forming galaxies above $1\mathrm{GeV}$ with 15-years Fermi-LAT data
• Astrophysical magnetohydrodynamical outflows in the extragalactic binary system LMC X-1
• CONGRuENTS (COsmic-ray, Neutrino, Gamma-ray and Radio Non-Thermal Spectra). I. A predictive model for galactic non-thermal emission
• Hadronic emission from the environment of the Crab Pulsar Wind Nebula by re-accelerated particles
• Discovery of GeV gamma-ray emission from the LMC B0443-6657 with the Fermi Large Area Telescope
• Detecting unresolved moving sources in a diffuse background
• Linking gamma-ray spectra of supernova remnants to the cosmic ray injection properties in the aftermath of supernovae
• Flavor composition of neutrinos from choked gamma-ray bursts
• A two-fluid model for black-hole accretion flows: Particle acceleration, outflows, and TeV emission
• BL Lacertae under the Flare of 2024: Probing Temporal and Spectral Dynamics
• Constraining the pseudo-Dirac nature of neutrinos using astrophysical neutrino flavor data
• Spectra of cosmic ray electrons and diffuse gamma rays with the constraints of AMS-02 and HESS data
• The Dawn of Multi-Messenger Astronomy
• A New Model For Vela Jr. Supernova Remnant
• The Disk Wind Contribution to the Gamma-Ray emission from the nearby Seyfert Galaxy GRS 1734-292
• Investigating starburst-driven neutrino emission from galaxies in the Great Observatories All-Sky LIRG Survey
• Present and Future Gamma-Ray Probes of the Cygnus OB2 Environment
• An interacting molecular cloud scenario for production of gamma-rays and neutrinos from MAGIC J1835-069, and MAGIC J1837-073
• Colliding-Wind Binaries as a Source of TeV Cosmic Rays
• Quiescent black hole X-ray binaries as multi-messenger sources
• Neutrinos from Cosmic Accelerators Including Magnetic Field and Flavor Effects
• Arc-minute-scale studies of the interstellar gas towards HESSJ1804$-$216: Still an unidentified TeV $\gamma$-ray source
• A possible origin of gamma rays from the Fermi Bubbles
• Very-high-energy observations of the Seyfert galaxy NGC 4151 with MAGIC -- Indication of another gamma-ray obscured candidate neutrino source
• Population III microquasars
• Estimatingthe Contribution of Galactic Neutrino Sources
• Direct measurements of cosmic rays and their possible interpretations
• The diffuse extragalactic gamma-ray background radiation: star-forming galaxies are not the dominant component
• The Gamma-Ray Emission from the Supernova Remnant RX J1713.7-3946 Interacting with Two-phase Medium
• Galactic Gamma Ray Background from Interactions of Cosmic Rays
• High energy neutrino and gamma-ray emission in the jets of the microquasar M33 X-7
• Probing the star formation origin of gamma rays from 3FHL J1907.0+0713
• Search for the Galactic accelerators of Cosmic-Rays up to the Knee with the Pevatron Test Statistic
• Towards Multi Energy Neutrino Astronomy: Diagnosing Enhanced Circumstellar Material around Stripped-Envelope Supernovae
• Probing the detectability of electromagnetic signatures from Galactic isolated black holes
• Gamma-ray detection toward the Coma cluster with Fermi-LAT: Implications for the cosmic ray content in the hadronic scenario
• Constraining the baryon loading factor of AGN jets: implication from the gamma-ray emission of the Coma cluster
• SNR G54.1+0.3, a PeVatron candidate unveiled by LHAASO
• Pulsars as candidates of LHAASO sources J2226+6057, J1908+0621 and J1825-1326
• Constraining the production of cosmic rays by pulsars
• Obscured $pp$-channel neutrino sources
• Proton Acceleration by Collisionless Shocks in Supermassive Black Hole Coronae: Implications for High-Energy Neutrinos
• High-energy Neutrino Predictions for T Coronae Borealis: Probing Particle Acceleration in Novae
• A possible GeV-radio correlation for starburst galaxies
• Probing maximum energy of cosmic rays in SNR through gamma rays and neutrinos from the molecular clouds around SNR W28
• Neutrino emission from magnetized micro-quasar jets
• Probing Lorentz invariance with a high-energy neutrino flare
• High-energy emission from jet-cloud interactions in AGNs
• Between the cosmic-ray `knee' and the `ankle': Contribution from star clusters
• Multi-messenger Implications of Sub-PeV Diffuse Galactic Gamma-Ray Emission
• On the relation between the astrophysical neutrino fluxes and the cosmic ray fluxes
• KM3NeT/ARCA expectations in view of a novel multimessenger study of starburst galaxies
• Synthetic Neutrino Imaging of a Microquasar
• Excess of diffuse gamma-ray emission detected from the galaxy cluster Abell 119 from 14-year Fermi-LAT Data
• A New Particle Pusher with Hadronic Interactions for Modeling Multimessenger Emission from Compact Objects
• Probing the cosmic sterile-neutrino background with IceCube
• Modelling the Gamma-Ray Morphology of HESS J1804-216 from Two Supernova Remnants in a Hadronic Scenario
• The traveling-PWN modeling attempt on the enigmatic LHAASO dumbbell-like structure
• The expected potential of hadronic PeVatron searches with spectral $\gamma$-ray data from the Southern Wide-field Gamma-ray Observatory
• Hadronic Processes, Plasma Evolution and Neutrino Emission in Magnetic Towers of Neutron-Star Merger Remnants
• Modeling Hadronic Interactions in Ultra-High-Energy Cosmic Rays within Astrophysical Environments: A Parametric Approach
• Super-Accreting Active Galactic Nuclei as Neutrino Sources
• Decoherence effect in neutrinos produced in micro-quasar jets
• Cosmic Ray Antiprotons from Nearby Cosmic Accelerators
• Neutrino Constrains to the Diffuse Gamma-Ray Emission from Accretion Shocks
• Exploring the region encompassing gamma Cygni SNR and MAGIC J2019+408 with the GMRT at 325 and 610 MHz
• Very High Energy Gamma Rays from Ultra Fast Outflows
• A pure hadronic model description of the observed neutrino emission from the tidal disruption event AT2019dsg
• Non-thermal emission in the central starburst region of M82
• Neutrinos from extreme astrophysical sources
• Using X-ray observations to identify the particle acceleration mechanisms in VHE SNRs and "dark" VHE sources
• On the hadronic origin of the very high energy $\gamma$-ray emission surrounding the young massive stellar cluster Westerlund 1
• Simulated Radio and Neutrino Imaging of a Microquasar
• No Flavor Anisotropy in the High-Energy Neutrino Sky Upholds Lorentz Invariance
• Detection of VHE Gamma Radiation from the Pulsar Wind Nebula MSH 15-52 with H.E.S.S
• Angular Distribution of Gamma Rays Produced in Proton-Proton Collisions
• Very high-energy gamma-ray and neutrino emission from hadronic interaction in compact binary millisecond pulsars
• New determination of the neutrino hadronic production cross sections from GeV to beyond PeV energies
• Interpreting the LHAASO Galactic diffuse emission data
• Particle Reacceleration by Turbulence and Radio Constraints on Multi-Messenger High-Energy Emission from the Coma Cluster
• The role of magnetic fields in shaping $\gamma$-ray emission from the Fermi bubbles
• Cosmic-ray-induced ionization in molecular clouds adjacent to supernova remnants
• Stochastic modelling of cosmic-ray sources for Galactic diffuse emissions
• The GPSP Atlas: High-resolution Galactic Photon Survival Probability Atlas for Very-High- and Ultra-High-Energy Gamma-Ray Astronomy
• MeV, GeV and TeV neutrinos from binary-driven hypernovae
• Magnetized Shocks Mediated by Radiation from Leptonic and Hadronic Processes
• The Cosmic-ray Knee as a Local Signature of Nearby PeVatrons
• Pushing the Energy and Cosmic Frontiers with High-Energy Astrophysical Neutrinos
• Can a single supernova remnant account for the gamma-ray emission of G106.3+2.7?
• On gamma rays as predictors of UHECR flux in AGNs
• Energy-dependent extension of the Crab Nebula as a diagnostic of ultrahigh-energy hadronic emission
• Suppressed diffusion and gamma-ray emission from the Cygnus bubble
• Revisiting Disk Winds in Active Galactic Nuclei as an Origin of Cosmic Gamma-ray and Neutrino Backgrounds
• Diffuse gamma-ray emission from the Galactic center and implications of its past activities
• Are Kronberger 80 and/or Kronberger 82 regions PeVatron candidates for LHAASO J2108+5157?
• Galactic sources of high energy neutrinos: Expectation from gamma-ray data
• TeV-PeV Gamma-ray and Neutrino Emission in the Galactic Plane
• Accelerated protons produced by magnetic Penrose process in Sgr A*
• Hadronic origin of gamma rays and neutrinos from blazars: Multi-messenger implications and observational constraints
• Neutrino Emission from Proton Photon Jet Interactions in Microquasars
• Predicting the Neutrino Emission for the Sources in the H.E.S.S. Galactic Plane Survey
• Ultra-High Energy Cosmic Rays from Galactic Supernovae
• The primary proton spectrum of the hadronic PeVatron candidate HAWC J1825-134
• Multiwavelength study of non-thermal emission in the Swift J1834.9-0846/W41 region
• Semi-analytical model of cosmic ray electron transport