A predictive analytic model for the solar modulation of cosmic rays
Abstract
An important factor limiting our ability to understand the production and propagation of cosmic rays pertains to the effects of heliospheric forces, commonly known as solar modulation. The solar wind is capable of generating time- and charge-dependent effects on the spectrum and intensity of low-energy (≲10 GeV) cosmic rays reaching Earth. Previous analytic treatments of solar modulation have utilized the force-field approximation, in which a simple potential is adopted whose amplitude is selected to best fit the cosmic-ray data taken over a given period of time. Making use of recently available cosmic-ray data from the Voyager 1 spacecraft, along with measurements of the heliospheric magnetic field and solar wind, we construct a time-, charge- and rigidity-dependent model of solar modulation that can be directly compared to data from a variety of cosmic-ray experiments. Here, we provide a simple analytic formula that can be easily utilized in a variety of applications, allowing us to better predict the effects of solar modulation and reduce the number of free parameters involved in cosmic-ray propagation models.
- Authors:
-
- The Johns Hopkins Univ., Baltimore, MD (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Univ. of Chicago, Chicago, IL (United States)
- Univ. of Chicago, Chicago, IL (United States); The Ohio State Univ., Columbus, OH (United States)
- Publication Date:
- Research Org.:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1247502
- Alternate Identifier(s):
- OSTI ID: 1238825
- Report Number(s):
- FERMILAB-PUB-15-477-A; arXiv:1511.01507
Journal ID: ISSN 2470-0010; PRVDAQ; 1402925
- Grant/Contract Number:
- AC02-07CH11359; FG02-13ER41958; SC0009924
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 4; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Cholis, Ilias, Hooper, Dan, and Linden, Tim. A predictive analytic model for the solar modulation of cosmic rays. United States: N. p., 2016.
Web. doi:10.1103/PhysRevD.93.043016.
Cholis, Ilias, Hooper, Dan, & Linden, Tim. A predictive analytic model for the solar modulation of cosmic rays. United States. https://doi.org/10.1103/PhysRevD.93.043016
Cholis, Ilias, Hooper, Dan, and Linden, Tim. Tue .
"A predictive analytic model for the solar modulation of cosmic rays". United States. https://doi.org/10.1103/PhysRevD.93.043016. https://www.osti.gov/servlets/purl/1247502.
@article{osti_1247502,
title = {A predictive analytic model for the solar modulation of cosmic rays},
author = {Cholis, Ilias and Hooper, Dan and Linden, Tim},
abstractNote = {An important factor limiting our ability to understand the production and propagation of cosmic rays pertains to the effects of heliospheric forces, commonly known as solar modulation. The solar wind is capable of generating time- and charge-dependent effects on the spectrum and intensity of low-energy (≲10 GeV) cosmic rays reaching Earth. Previous analytic treatments of solar modulation have utilized the force-field approximation, in which a simple potential is adopted whose amplitude is selected to best fit the cosmic-ray data taken over a given period of time. Making use of recently available cosmic-ray data from the Voyager 1 spacecraft, along with measurements of the heliospheric magnetic field and solar wind, we construct a time-, charge- and rigidity-dependent model of solar modulation that can be directly compared to data from a variety of cosmic-ray experiments. Here, we provide a simple analytic formula that can be easily utilized in a variety of applications, allowing us to better predict the effects of solar modulation and reduce the number of free parameters involved in cosmic-ray propagation models.},
doi = {10.1103/PhysRevD.93.043016},
journal = {Physical Review D},
number = 4,
volume = 93,
place = {United States},
year = {Tue Feb 23 00:00:00 EST 2016},
month = {Tue Feb 23 00:00:00 EST 2016}
}
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Works referenced in this record:
Solar Modulation of Galactic Cosmic Rays
journal, November 1968
- Gleeson, L. J.; Axford, W. I.
- The Astrophysical Journal, Vol. 154
Modelling heliospheric current sheet drift in stochastic cosmic ray transport models
journal, February 2012
- Strauss, R. D.; Potgieter, M. S.; Büsching, I.
- Astrophysics and Space Science, Vol. 339, Issue 2
Low Energy Cosmic Ray Positron Fraction Explained by Charge-Sign Dependent Solar Modulation
journal, February 2013
- Maccione, Luca
- Physical Review Letters, Vol. 110, Issue 8
New local interstellar spectra for protons, helium and carbon derived from PAMELA and Voyager 1 observations
journal, January 2016
- Bisschoff, D.; Potgieter, M. S.
- Astrophysics and Space Science, Vol. 361, Issue 2
Secondary antiprotons as a Galactic Dark Matter probe
journal, December 2015
- Evoli, Carmelo; Gaggero, Daniele; Grasso, Dario
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 12
PAMELA and AMS-02 and spectra are reproduced by three-dimensional cosmic-ray modeling
journal, April 2014
- Gaggero, Daniele; Maccione, Luca; Grasso, Dario
- Physical Review D, Vol. 89, Issue 8
New Measurement of the Antiproton-to-Proton Flux Ratio up to 100 GeV in the Cosmic Radiation
journal, February 2009
- Adriani, O.; Barbarino, G. C.; Bazilevskaya, G. A.
- Physical Review Letters, Vol. 102, Issue 5
PAMELA Results on the Cosmic-Ray Antiproton Flux from 60 MeV to 180 GeV in Kinetic Energy
journal, September 2010
- Adriani, O.; Barbarino, G. C.; Bazilevskaya, G. A.
- Physical Review Letters, Vol. 105, Issue 12
Measurement of the flux of primary cosmic ray antiprotons with energies of 60 MeV to 350 GeV in the PAMELA experiment
journal, January 2013
- Adriani, O.; Bazilevskaya, G. A.; Barbarino, G. C.
- JETP Letters, Vol. 96, Issue 10
First Result from the Alpha Magnetic Spectrometer on the International Space Station: Precision Measurement of the Positron Fraction in Primary Cosmic Rays of 0.5–350 GeV
journal, April 2013
- Aguilar, M.; Alberti, G.; Alpat, B.
- Physical Review Letters, Vol. 110, Issue 14
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
- Aguilar, M.; Aisa, D.; Alpat, B.
- Physical Review Letters, Vol. 114, Issue 17
Precision Measurement of the Flux in Primary Cosmic Rays from 0.5 GeV to 1 TeV with the Alpha Magnetic Spectrometer on the International Space Station
journal, November 2014
- Aguilar, M.; Aisa, D.; Alpat, B.
- Physical Review Letters, Vol. 113, Issue 22
Electron and Positron Fluxes in Primary Cosmic Rays Measured with the Alpha Magnetic Spectrometer on the International Space Station
journal, September 2014
- Aguilar, M.; Aisa, D.; Alvino, A.
- Physical Review Letters, Vol. 113, Issue 12
Voyager 1 Observes Low-Energy Galactic Cosmic Rays in a Region Depleted of Heliospheric Ions
journal, June 2013
- Stone, E. C.; Cummings, A. C.; McDonald, F. B.
- Science, Vol. 341, Issue 6142
Balloon-borne experiment with a superconducting solenoidal magnet spectrometer
journal, February 1994
- Yamamoto, A.; Anraku, K.; Golden, R.
- Advances in Space Research, Vol. 14, Issue 2
The Absolute Flux of Protons and Helium at the Top of the Atmosphere Using IMAX
journal, April 2000
- Menn, W.; Hof, M.; Reimer, O.
- The Astrophysical Journal, Vol. 533, Issue 1
The cosmic-ray proton and helium spectra measured with the CAPRICE98 balloon experiment
journal, August 2003
- Boezio, M.; Bonvicini, V.; Schiavon, P.
- Astroparticle Physics, Vol. 19, Issue 5
Cosmic protons
journal, September 2000
- Alcaraz, J.; Alpat, B.; Ambrosi, G.
- Physics Letters B, Vol. 490, Issue 1-2
Very Local Interstellar Spectra for Galactic Electrons, Protons and Helium
journal, July 2014
- Potgieter, Marius
- Brazilian Journal of Physics, Vol. 44, Issue 5
A database of charged cosmic rays
journal, September 2014
- Maurin, D.; Melot, F.; Taillet, R.
- Astronomy & Astrophysics, Vol. 569
Voyager 1 Explores the Termination Shock Region and the Heliosheath Beyond
journal, September 2005
- Stone, E. C.
- Science, Vol. 309, Issue 5743
An asymmetric solar wind termination shock
journal, July 2008
- Stone, Edward C.; Cummings, Alan C.; McDonald, Frank B.
- Nature, Vol. 454, Issue 7200
Rigidity dependence of cosmic ray proton latitudinal gradients measured by the Ulysses spacecraft: Implications for the diffusion tensor
journal, December 2000
- Burger, R. A.; Potgieter, M. S.; Heber, B.
- Journal of Geophysical Research: Space Physics, Vol. 105, Issue A12
Stochastic reacceleration of cosmic rays in the interstellar medium
journal, August 1994
- Seo, E. S.; Ptuskin, V. S.
- The Astrophysical Journal, Vol. 431
Solar Modulation of Cosmic Rays
journal, January 2013
- Potgieter, Marius
- Living Reviews in Solar Physics, Vol. 10
Measurement of Cosmic‐Ray Hydrogen and Helium and Their Isotopic Composition with the BESS Experiment
journal, January 2002
- Wang, J. Z.; Seo, E. S.; Anraku, K.
- The Astrophysical Journal, Vol. 564, Issue 1
Measurements of 0.2–20GeV/n cosmic-ray proton and helium spectra from 1997 through 2002 with the BESS spectrometer
journal, September 2007
- Shikaze, Y.; Haino, S.; Abe, K.
- Astroparticle Physics, Vol. 28, Issue 1
Precise Measurement of Cosmic‐Ray Proton and Helium Spectra with the BESS Spectrometer
journal, December 2000
- Sanuki, T.; Motoki, M.; Matsumoto, H.
- The Astrophysical Journal, Vol. 545, Issue 2
Measurements of Cosmic-Ray Low-Energy Antiproton and Proton Spectra in a Transient Period of Solar Field Reversal
journal, January 2002
- Asaoka, Y.; Shikaze, Y.; Abe, K.
- Physical Review Letters, Vol. 88, Issue 5
Time Dependence of the Proton flux Measured by Pamela During the 2006 July-2009 December Solar Minimum
journal, February 2013
- Adriani, O.; Barbarino, G. C.; Bazilevskaya, G. A.
- The Astrophysical Journal, Vol. 765, Issue 2
PAMELA Measurements of Cosmic-Ray Proton and Helium Spectra
journal, March 2011
- Adriani, O.; Barbarino, G. C.; Bazilevskaya, G. A.
- Science, Vol. 332, Issue 6025
Ulysses Cosmic Ray and Solar Particle Investigation/Kiel Electron Telescope observations: Charge sign dependence and spatial gradients during the 1990–2000 A > 0 solar magnetic cycle
journal, January 2002
- Heber, B.
- Journal of Geophysical Research, Vol. 107, Issue A10
Cosmic Rays at High Heliolatitudes
journal, March 2007
- Heber, B.; Potgieter, M. S.
- Space Science Reviews, Vol. 127, Issue 1-4
Antiprotons from dark matter annihilation in the Galaxy: Astrophysical uncertainties
journal, June 2012
- Evoli, Carmelo; Cholis, Ilias; Grasso, Dario
- Physical Review D, Vol. 85, Issue 12
Constraints on particle dark matter from cosmic-ray antiprotons
journal, April 2014
- Fornengo, N.; Maccione, L.; Vittino, A.
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 04
What does the PAMELA antiproton spectrum tell us about dark matter?
journal, March 2015
- Hooper, Dan; Linden, Tim; Mertsch, Philipp
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 03
Antiproton constraints on the GeV gamma-ray excess: a comprehensive analysis
journal, December 2014
- Cirelli, Marco; Gaggero, Daniele; Giesen, Gaëlle
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 12
New constraints from PAMELA anti-proton data on annihilating and decaying dark matter
journal, September 2011
- Cholis, Ilias
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 09
Model-independent implications of the , cosmic ray spectra on properties of Dark Matter
journal, May 2009
- Cirelli, M.; Kadastik, M.; Raidal, M.
- Nuclear Physics B, Vol. 813, Issue 1-2
Addendum including AMS 2013 data to “Model-independent implications of the , cosmic ray spectra on properties of Dark Matter” [Nucl. Phys. B 813 (1–2) (2009) 1–21]
journal, August 2013
- Cirelli, M.; Kadastik, M.; Raidal, M.
- Nuclear Physics B, Vol. 873, Issue 3
Constraints on WIMP Dark Matter from the High Energy PAMELA Data
journal, February 2009
- Donato, F.; Maurin, D.; Brun, P.
- Physical Review Letters, Vol. 102, Issue 7
Antiproton constraints on dark matter annihilations from internal electroweak bremsstrahlung
journal, July 2011
- Garny, Mathias; Ibarra, Alejandro; Vogl, Stefan
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 07
What if dark matter gamma-ray lines come with gluon lines?
journal, October 2012
- Chu, Xiaoyong; Hambye, Thomas; Scarna, Tiziana
- Physical Review D, Vol. 86, Issue 8
PAMELA and FERMI limits on the neutralino-chargino mass degeneracy
journal, November 2012
- Bélanger, Geneviève; Bœhm, Céline; Cirelli, Marco
- Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 11
Antiprotons from Dark Matter: current constraints and future sensitivities
journal, April 2013
- Cirelli, Marco; Giesen, Gaëlle
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 04
Updated cosmic-ray and radio constraints on light dark matter: Implications for the GeV gamma-ray excess at the Galactic Center
journal, December 2014
- Bringmann, Torsten; Vollmann, Martin; Weniger, Christoph
- Physical Review D, Vol. 90, Issue 12
Searching for Dark Matter Annihilation from Milky Way Dwarf Spheroidal Galaxies with Six Years of Fermi Large Area Telescope Data
journal, November 2015
- Ackermann, M.; Albert, A.; Anderson, B.
- Physical Review Letters, Vol. 115, Issue 23
Comprehensive search for dark matter annihilation in dwarf galaxies
journal, April 2015
- Geringer-Sameth, Alex; Koushiappas, Savvas M.; Walker, Matthew G.
- Physical Review D, Vol. 91, Issue 8
Stringent constraints on the dark matter annihilation cross section from the region of the Galactic Center
journal, June 2013
- Hooper, Dan; Kelso, Chris; Queiroz, Farinaldo S.
- Astroparticle Physics, Vol. 46
New Limits on Dark Matter Annihilation from Alpha Magnetic Spectrometer Cosmic Ray Positron Data
journal, October 2013
- Bergström, Lars; Bringmann, Torsten; Cholis, Ilias
- Physical Review Letters, Vol. 111, Issue 17
The cosmic ray antiproton background for AMS-02
journal, September 2014
- Kappl, Rolf; Winkler, Martin Wolfgang
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 09
New evaluation of the antiproton production cross section for cosmic ray studies
journal, October 2014
- di Mauro, Mattia; Donato, Fiorenza; Goudelis, Andreas
- Physical Review D, Vol. 90, Issue 8
LOCAL H i EMISSIVITY MEASURED WITH FERMI -LAT AND IMPLICATIONS FOR COSMIC-RAY SPECTRA
journal, June 2015
- Casandjian, Jean-Marc
- The Astrophysical Journal, Vol. 806, Issue 2
Works referencing / citing this record:
Cosmic-ray propagation with DRAGON2: I. numerical solver and astrophysical ingredients
journal, February 2017
- Evoli, Carmelo; Gaggero, Daniele; Vittino, Andrea
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 02
Late decaying 2-component dark matter scenario as an explanation of the AMS-02 positron excess
journal, October 2017
- Buch, Jatan; Ralegankar, Pranjal; Rentala, Vikram
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 10
A precision search for WIMPs with charged cosmic rays
journal, January 2018
- Reinert, Annika; Winkler, Martin Wolfgang
- Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 01
An interpretation of the cosmic ray e+ + e− spectrum from 10GeV to 3TeV measured by CALET on the ISS
journal, January 2019
- Bhattacharyya, Saptashwa; Motz, Holger; Asaoka, Yoichi
- International Journal of Modern Physics D, Vol. 28, Issue 02
Properties of Cosmic Helium Isotopes Measured by the Alpha Magnetic Spectrometer
text, January 2019
- Aguilar, M.; Ali Cavasonza, Leila; Ambrosi, G.
- RWTH Aachen University
Solution of Heliospheric Propagation: Unveiling the Local Interstellar Spectra of Cosmic-ray Species
journal, May 2017
- Boschini, M. J.; Torre, S. Della; Gervasi, M.
- The Astrophysical Journal, Vol. 840, Issue 2
Studies on Cosmic-Ray Nuclei with Voyager , ACE , and AMS-02. I. Local Interstellar Spectra and Solar Modulation
journal, August 2018
- Zhu, Cheng-Rui; Yuan, Qiang; Wei, Da-Ming
- The Astrophysical Journal, Vol. 863, Issue 2
Modulation of Galactic Cosmic Rays from Helium to Nickel in the Inner Heliosphere
journal, December 2019
- Shen, Z. -N.; Qin, G.; Zuo, Pingbing
- The Astrophysical Journal, Vol. 887, Issue 2
Observation of Fine Time Structures in the Cosmic Proton and Helium Fluxes with the Alpha Magnetic Spectrometer on the International Space Station
text, January 2018
- Aguilar, M.; Ali Cavasonza, L.; Alpat, B.
- Karlsruhe
Late decaying 2-component dark matter scenario as an explanation of the AMS-02 positron excess
text, January 2016
- Buch, Jatan; Ralegankar, Pranjal; Rentala, Vikram
- arXiv
Prescriptions on antiproton cross section data for precise theoretical antiproton flux predictions
text, January 2017
- Donato, Fiorenza; Korsmeier, Michael; Di Mauro, Mattia
- arXiv
A Precision Search for WIMPs with Charged Cosmic Rays
text, January 2017
- Reinert, Annika; Winkler, Martin Wolfgang
- arXiv
Scrutinizing the evidence for dark matter in cosmic-ray antiprotons
text, January 2019
- Cuoco, Alessandro; Heisig, Jan; Klamt, Lukas
- arXiv
A Robust Excess in the Cosmic-Ray Antiproton Spectrum: Implications for Annihilating Dark Matter
text, January 2019
- Cholis, Ilias; Linden, Tim; Hooper, Dan
- arXiv
Time-dependent AMS-02 electron-positron fluxes in an extended force-field model
text, January 2019
- Kuhlen, Marco; Mertsch, Philipp
- arXiv
Properties of Cosmic Helium Isotopes Measured by the Alpha Magnetic Spectrometer
text, January 2019
- Aguilar, M.; Ali Cavasonza, L.; Ambrosi, G.
- Karlsruhe