Correlations of mass distributions between dark matter and visible matter
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Correlations of Mass Distributions between Dark Matter and Visible Matter. KIAS-APCTP-DMRC Workshop on “The Dark Side of the Universe” May 24, 2005. Yuriy Mishchenko and Chueng-Ryong Ji NC State University Raleigh, NC. Motivation.

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Correlations of Mass Distributions between Dark Matter and Visible Matter

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Correlations of Mass Distributionsbetween Dark Matter and Visible Matter

KIAS-APCTP-DMRC Workshop on

“The Dark Side of the Universe”

May 24, 2005

Yuriy Mishchenko and Chueng-Ryong Ji

NC State University Raleigh, NC


Motivation

  • Universal Rotation Curves in Spiral Galaxies and

    Strong Gravitational Lensing in Galaxy Clusters

    provide convincing evidences of Dark Matter.

  • High Resolution Mass Map of CL0024+1654 is now available from the deep imaging with the Hubble Space Telescope.

  • Two dramatically different systems seem to exhibit a consistency in correlations of mass distributions between Dark Matter and Visible Matter.

    Y.Mishchenko and C.Ji, PRD68, 063503 (2003)


Outline

  • Gravitational Lensing

    -Galaxy Clusters CL0024+1654

    -Mass Map by Tyson et al.

    -Simple but general theromodynamic analysis

  • Universal Rotation Curves

    -Spiral Galaxies with different luminosities

    -Consistency with the thermodynamic analysis

  • Discussions and Conclusions


Gravitational Lensing Effect

  • gravitational lensing is phenomenon of light deflection in gravitational field

  • allows to restore 2D projected mass distribution

Einstein Cross Q2237+0305


CL0024+1654


Dark vs. Visible in Galaxy Clusters

from J. Tyson, G. Kochanski, I. Dell’Antonio, astro-ph/9801193


Power Law Model


J. Tyson, G. Kochanski, I. Dell’Antonio, astro-ph/9801193


Dark vs. Visible in Galaxy Clusters

J. Tyson, G. Kochanski, I. Dell’Antonio, 1998:

  • presented analysis of Hubble telescope images of strong gravitational lensing in galaxy cluster CL0024+1654

  • presented detailed mass map and radial “averaged” profiles for total and visible matter

  • primary conclusion was about inconsistency with Cold Dark Matter simulations (soft core)


Correlation between Dark Matter and Visible Matter


Flat Region around 100 kpc

  • projected density radial profiles presented on log-log scale for the total and visible matter distribution

  • if profiles were re-plotted on log-linear scale, one would observe exponential decay

anomalous flat region at about 100kpc in the visible mass profile


Thermodynamic Principle

Log-Log Linear Correlation


Dark Matter in Spiral Galaxies

Rotation Curve represents gas/stars circular orbit velocity as function of distance from the galaxy’s center

spiral galaxy NGC2403


Dark vs. Visible in Spiral Galaxies

M. Persic, P. Salucci, F. Stel, 1996:

  • presented analysis of a sample of spiral galaxies’ Rotation Curves classified by galaxy luminosities and normalized to vopt and ropt .

  • found that majority of normalized RC in given luminosity group follow universal profiles (Universal Rotation Curves).

  • described URC in terms of simple mass model: dark spherical halo + exponential thin stellar disk.


Universal Rotation Curve of Spiral Galaxy


Universal Rotation Curves in Spiral Galaxies

  • In Persic, Salucci, Stel visible mass contribution is known but approximated with an analytical fit,

  • Dark halo contribution is parameterized,

  • Final Rotation Curve is described with


Luminosity Dependence of URCs


Correlation of Mass Density

  • URC can be fit in the region 0 r/ropt 2 with exponential dark hallo for all luminosities

  • For larger r and are linearly correlated

Exponential Thin Disk

It corresponds to T~105 K consistent with the temperature

of the interstellar gas.


Dark vs. Visible in Spiral Galaxies


Dark vs. Visible in Spiral Galaxies

Log-Log-Linear Correlation in Spiral Galaxies

best fit values of a for different luminositiesM

…remember  obtained for CL0024+1654,


Dark vs. Visible Matter

We observed Log-Log-Linear correlation with essentially the same correlation coefficient in different spiral galaxies and a galaxy cluster.

This is a remarkable coincidence…

How do we interprete?


Interpretation of Results

  • Local Thermodynamic Equilibrium since it is unlikely

    that the molar mass ratio varies in a precise correlation

    with the temperature ratio to make kappa constant both

    for the galaxy clusters and the spiral galaxies.

  • Visible matter primarily consists of H, H2 and He.

Massive neutrinos and/or axions < 25MeV

WIMP ~ 10GeV-1TeV

SUSY lightest particles(e.g. neutralino)>30GeV


Discussions and Conclusions

  • Correlations of mass distributions between dark matter and visible matter in two dramatically different systems, galaxy cluster and spiral galaxies, are remarkably consistent with each other.

  • Based on an almost isothermal Boltzmann

    distribution, we find K = 2.1~4.4 which indicate

    the typical mass scale of dark matter particles

    around the order of 100 MeV.

  • Since this is right around the QCD mass scale,

    any relation between the dark matter and QCD vacuum

    condensates?


Things to do:

  • Experimental – improve “statistics”

    • large survey of dark vs. visible matter in galaxy clusters…

  • Theoretical – investigate different possibilities

    • role of gravity in thermalization processes…

    • better understanding of galaxy cluster dynamics…

    • better understanding of spiral galaxy dynamics…


C.Ji, Gungwon Kang and Jungjai Lee, work in progress…


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