A predictive analytic model for the solar modulation of cosmic rays

Cholis, Ilias; Hooper, Dan; Linden, Tim

doi:10.1103/PhysRevD.93.043016

A predictive analytic model for the solar modulation of cosmic rays

Journal Article · Tue Feb 23 00:00:00 EST 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.93.043016· OSTI ID:1247502

Cholis, Ilias ^[1]; Hooper, Dan ^[2]; Linden, Tim ^[3]

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)

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.

View Accepted Manuscript (DOE)

Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: AC02-07CH11359; SC0009924

OSTI ID:: 1247502

Alternate ID(s):: OSTI ID: 1238825

Report Number(s):: FERMILAB-PUB--15-477-A; arXiv:1511.01507; 1402925

Journal Information:: Physical Review D, Journal Name: Physical Review D Journal Issue: 4 Vol. 93; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (54)

Modelling heliospheric current sheet drift in stochastic cosmic ray transport models Strauss, R. D.; Potgieter, M. S.; Büsching, I. Astrophysics and Space Science, Vol. 339, Issue 2 https://doi.org/10.1007/s10509-012-1003-z	journal	February 2012
New local interstellar spectra for protons, helium and carbon derived from PAMELA and Voyager 1 observations Bisschoff, D.; Potgieter, M. S. Astrophysics and Space Science, Vol. 361, Issue 2 https://doi.org/10.1007/s10509-015-2633-8	journal	January 2016
Cosmic Rays at High Heliolatitudes Heber, B.; Potgieter, M. S. Space Science Reviews, Vol. 127, Issue 1-4 https://doi.org/10.1007/s11214-006-9085-y	journal	March 2007
Very Local Interstellar Spectra for Galactic Electrons, Protons and Helium Potgieter, Marius Brazilian Journal of Physics, Vol. 44, Issue 5 https://doi.org/10.1007/s13538-014-0238-2	journal	July 2014
Balloon-borne experiment with a superconducting solenoidal magnet spectrometer Yamamoto, A.; Anraku, K.; Golden, R. Advances in Space Research, Vol. 14, Issue 2 https://doi.org/10.1016/0273-1177(94)90071-X	journal	February 1994
Cosmic protons Alcaraz, J.; Alpat, B.; Ambrosi, G. Physics Letters B, Vol. 490, Issue 1-2 https://doi.org/10.1016/S0370-2693(00)00970-9	journal	September 2000
The cosmic-ray proton and helium spectra measured with the CAPRICE98 balloon experiment Boezio, M.; Bonvicini, V.; Schiavon, P. Astroparticle Physics, Vol. 19, Issue 5 https://doi.org/10.1016/S0927-6505(02)00267-0	journal	August 2003
Measurements of 0.2–20GeV/n cosmic-ray proton and helium spectra from 1997 through 2002 with the BESS spectrometer Shikaze, Y.; Haino, S.; Abe, K. Astroparticle Physics, Vol. 28, Issue 1 https://doi.org/10.1016/j.astropartphys.2007.05.001	journal	September 2007
Stringent constraints on the dark matter annihilation cross section from the region of the Galactic Center Hooper, Dan; Kelso, Chris; Queiroz, Farinaldo S. Astroparticle Physics, Vol. 46 https://doi.org/10.1016/j.astropartphys.2013.04.007	journal	June 2013
Model-independent implications of the , cosmic ray spectra on properties of Dark Matter Cirelli, M.; Kadastik, M.; Raidal, M. Nuclear Physics B, Vol. 813, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2008.11.031	journal	May 2009
Addendum including AMS 2013 data to “Model-independent implications of the e ± , p ¯ cosmic ray spectra on properties of Dark Matter” [Nucl. Phys. B 813 (1–2) (2009) 1–21] Cirelli, M.; Kadastik, M.; Raidal, M. Nuclear Physics B, Vol. 873, Issue 3 https://doi.org/10.1016/j.nuclphysb.2013.05.002	journal	August 2013
The ACE Magnetic Fields Experiment Smith, C. W.; L'Heureux, J.; Ness, N. F. Space Science Reviews, Vol. 86, Issue 1/4, p. 613-632 https://doi.org/10.1023/A:1005092216668	journal	January 1998
Rigidity dependence of cosmic ray proton latitudinal gradients measured by the Ulysses spacecraft: Implications for the diffusion tensor Burger, R. A.; Potgieter, M. S.; Heber, B. Journal of Geophysical Research: Space Physics, Vol. 105, Issue A12 https://doi.org/10.1029/2000JA000153	journal	December 2000
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 Heber, B. Journal of Geophysical Research, Vol. 107, Issue A10 https://doi.org/10.1029/2001JA000329	journal	January 2002
An asymmetric solar wind termination shock Stone, Edward C.; Cummings, Alan C.; McDonald, Frank B. Nature, Vol. 454, Issue 7200 https://doi.org/10.1038/nature07022	journal	July 2008
A database of charged cosmic rays Maurin, D.; Melot, F.; Taillet, R. Astronomy & Astrophysics, Vol. 569 https://doi.org/10.1051/0004-6361/201321344	journal	September 2014
Solar Modulation of Galactic Cosmic Rays Gleeson, L. J.; Axford, W. I. The Astrophysical Journal, Vol. 154 https://doi.org/10.1086/149822	journal	November 1968
Stochastic reacceleration of cosmic rays in the interstellar medium Seo, E. S.; Ptuskin, V. S. The Astrophysical Journal, Vol. 431 https://doi.org/10.1086/174520	journal	August 1994
The Absolute Flux of Protons and Helium at the Top of the Atmosphere Using IMAX Menn, W.; Hof, M.; Reimer, O. The Astrophysical Journal, Vol. 533, Issue 1 https://doi.org/10.1086/308645	journal	April 2000
Precise Measurement of Cosmic‐Ray Proton and Helium Spectra with the BESS Spectrometer Sanuki, T.; Motoki, M.; Matsumoto, H. The Astrophysical Journal, Vol. 545, Issue 2 https://doi.org/10.1086/317873	journal	December 2000
Measurement of Cosmic‐Ray Hydrogen and Helium and Their Isotopic Composition with the BESS Experiment Wang, J. Z.; Seo, E. S.; Anraku, K. The Astrophysical Journal, Vol. 564, Issue 1 https://doi.org/10.1086/324140	journal	January 2002
Time Dependence of the Proton flux Measured by Pamela During the 2006 July-2009 December Solar Minimum Adriani, O.; Barbarino, G. C.; Bazilevskaya, G. A. The Astrophysical Journal, Vol. 765, Issue 2 https://doi.org/10.1088/0004-637X/765/2/91	journal	February 2013
LOCAL H i EMISSIVITY MEASURED WITH FERMI -LAT AND IMPLICATIONS FOR COSMIC-RAY SPECTRA Casandjian, Jean-Marc The Astrophysical Journal, Vol. 806, Issue 2 https://doi.org/10.1088/0004-637X/806/2/240	journal	June 2015
Antiproton constraints on dark matter annihilations from internal electroweak bremsstrahlung Garny, Mathias; Ibarra, Alejandro; Vogl, Stefan Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 07 https://doi.org/10.1088/1475-7516/2011/07/028	journal	July 2011
New constraints from PAMELA anti-proton data on annihilating and decaying dark matter Cholis, Ilias Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 09 https://doi.org/10.1088/1475-7516/2011/09/007	journal	September 2011
PAMELA and FERMI limits on the neutralino-chargino mass degeneracy Bélanger, Geneviève; Bœhm, Céline; Cirelli, Marco Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 11 https://doi.org/10.1088/1475-7516/2012/11/028	journal	November 2012
Antiprotons from Dark Matter: current constraints and future sensitivities Cirelli, Marco; Giesen, Gaëlle Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 04 https://doi.org/10.1088/1475-7516/2013/04/015	journal	April 2013
Constraints on particle dark matter from cosmic-ray antiprotons Fornengo, N.; Maccione, L.; Vittino, A. Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 04 https://doi.org/10.1088/1475-7516/2014/04/003	journal	April 2014
The cosmic ray antiproton background for AMS-02 Kappl, Rolf; Winkler, Martin Wolfgang Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 09 https://doi.org/10.1088/1475-7516/2014/09/051	journal	September 2014
Antiproton constraints on the GeV gamma-ray excess: a comprehensive analysis Cirelli, Marco; Gaggero, Daniele; Giesen, Gaëlle Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 12 https://doi.org/10.1088/1475-7516/2014/12/045	journal	December 2014
What does the PAMELA antiproton spectrum tell us about dark matter? Hooper, Dan; Linden, Tim; Mertsch, Philipp Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 03 https://doi.org/10.1088/1475-7516/2015/03/021	journal	March 2015
Secondary antiprotons as a Galactic Dark Matter probe Evoli, Carmelo; Gaggero, Daniele; Grasso, Dario Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 12 https://doi.org/10.1088/1475-7516/2015/12/039	journal	December 2015
Antiprotons from dark matter annihilation in the Galaxy: Astrophysical uncertainties Evoli, Carmelo; Cholis, Ilias; Grasso, Dario Physical Review D, Vol. 85, Issue 12 https://doi.org/10.1103/PhysRevD.85.123511	journal	June 2012
What if dark matter gamma-ray lines come with gluon lines? Chu, Xiaoyong; Hambye, Thomas; Scarna, Tiziana Physical Review D, Vol. 86, Issue 8 https://doi.org/10.1103/PhysRevD.86.083521	journal	October 2012
PAMELA and AMS-02 e + and e − spectra are reproduced by three-dimensional cosmic-ray modeling Gaggero, Daniele; Maccione, Luca; Grasso, Dario Physical Review D, Vol. 89, Issue 8 https://doi.org/10.1103/PhysRevD.89.083007	journal	April 2014
New evaluation of the antiproton production cross section for cosmic ray studies di Mauro, Mattia; Donato, Fiorenza; Goudelis, Andreas Physical Review D, Vol. 90, Issue 8 https://doi.org/10.1103/PhysRevD.90.085017	journal	October 2014
Updated cosmic-ray and radio constraints on light dark matter: Implications for the GeV gamma-ray excess at the Galactic Center Bringmann, Torsten; Vollmann, Martin; Weniger, Christoph Physical Review D, Vol. 90, Issue 12 https://doi.org/10.1103/PhysRevD.90.123001	journal	December 2014
Comprehensive search for dark matter annihilation in dwarf galaxies Geringer-Sameth, Alex; Koushiappas, Savvas M.; Walker, Matthew G. Physical Review D, Vol. 91, Issue 8 https://doi.org/10.1103/PhysRevD.91.083535	journal	April 2015
New Measurement of the Antiproton-to-Proton Flux Ratio up to 100 GeV in the Cosmic Radiation Adriani, O.; Barbarino, G. C.; Bazilevskaya, G. A. Physical Review Letters, Vol. 102, Issue 5 https://doi.org/10.1103/PhysRevLett.102.051101	journal	February 2009
Constraints on WIMP Dark Matter from the High Energy PAMELA p ¯ / p Data Donato, F.; Maurin, D.; Brun, P. Physical Review Letters, Vol. 102, Issue 7 https://doi.org/10.1103/PhysRevLett.102.071301	journal	February 2009
PAMELA Results on the Cosmic-Ray Antiproton Flux from 60 MeV to 180 GeV in Kinetic Energy Adriani, O.; Barbarino, G. C.; Bazilevskaya, G. A. Physical Review Letters, Vol. 105, Issue 12 https://doi.org/10.1103/PhysRevLett.105.121101	journal	September 2010
Low Energy Cosmic Ray Positron Fraction Explained by Charge-Sign Dependent Solar Modulation Maccione, Luca Physical Review Letters, Vol. 110, Issue 8 https://doi.org/10.1103/PhysRevLett.110.081101	journal	February 2013
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 Aguilar, M.; Alberti, G.; Alpat, B. Physical Review Letters, Vol. 110, Issue 14 https://doi.org/10.1103/PhysRevLett.110.141102	journal	April 2013
New Limits on Dark Matter Annihilation from Alpha Magnetic Spectrometer Cosmic Ray Positron Data Bergström, Lars; Bringmann, Torsten; Cholis, Ilias Physical Review Letters, Vol. 111, Issue 17 https://doi.org/10.1103/PhysRevLett.111.171101	journal	October 2013
Electron and Positron Fluxes in Primary Cosmic Rays Measured with the Alpha Magnetic Spectrometer on the International Space Station Aguilar, M.; Aisa, D.; Alvino, A. Physical Review Letters, Vol. 113, Issue 12 https://doi.org/10.1103/PhysRevLett.113.121102	journal	September 2014
Precision Measurement of the ( e + + e − ) Flux in Primary Cosmic Rays from 0.5 GeV to 1 TeV with the Alpha Magnetic Spectrometer on the International Space Station Aguilar, M.; Aisa, D.; Alpat, B. Physical Review Letters, Vol. 113, Issue 22 https://doi.org/10.1103/PhysRevLett.113.221102	journal	November 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 Aguilar, M.; Aisa, D.; Alpat, B. Physical Review Letters, Vol. 114, Issue 17 https://doi.org/10.1103/PhysRevLett.114.171103	journal	April 2015
Searching for Dark Matter Annihilation from Milky Way Dwarf Spheroidal Galaxies with Six Years of Fermi Large Area Telescope Data Ackermann, M.; Albert, A.; Anderson, B. Physical Review Letters, Vol. 115, Issue 23 https://doi.org/10.1103/PhysRevLett.115.231301	journal	November 2015
Measurements of Cosmic-Ray Low-Energy Antiproton and Proton Spectra in a Transient Period of Solar Field Reversal Asaoka, Y.; Shikaze, Y.; Abe, K. Physical Review Letters, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevLett.88.051101	journal	January 2002
Voyager 1 Explores the Termination Shock Region and the Heliosheath Beyond Stone, E. C. Science, Vol. 309, Issue 5743 https://doi.org/10.1126/science.1117684	journal	September 2005
PAMELA Measurements of Cosmic-Ray Proton and Helium Spectra Adriani, O.; Barbarino, G. C.; Bazilevskaya, G. A. Science, Vol. 332, Issue 6025 https://doi.org/10.1126/science.1199172	journal	March 2011
Voyager 1 Observes Low-Energy Galactic Cosmic Rays in a Region Depleted of Heliospheric Ions Stone, E. C.; Cummings, A. C.; McDonald, F. B. Science, Vol. 341, Issue 6142 https://doi.org/10.1126/science.1236408	journal	June 2013
Measurement of the flux of primary cosmic ray antiprotons with energies of 60 MeV to 350 GeV in the PAMELA experiment Adriani, O.; Bazilevskaya, G. A.; Barbarino, G. C. JETP Letters, Vol. 96, Issue 10 https://doi.org/10.1134/S002136401222002X	journal	January 2013
Solar Modulation of Cosmic Rays Potgieter, Marius Living Reviews in Solar Physics, Vol. 10 https://doi.org/10.12942/lrsp-2013-3	journal	January 2013

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