equation_database.doi_10_1103_PhysRevC_81_034911

Functions

`bibtex`()	DOI, arXiv, Detailed measurement of the \(e^+ e^-\) pair continuum in \(p+p\) and Au+Au collisions at \(\sqrt{s_{NN}} = 200\) GeV and implications for direct photon production
`equation_B1`([N_ee, M, L, N_gamma, alpha])

equation_database.doi_10_1103_PhysRevC_81_034911.equation_B1(N_ee=N_ee, M=M, L=L, N_gamma=N_gamma, alpha=alpha)[source]

Parameters:

N_ee – electron pair yield
M – mass of the virtual photon
L – leptonic corrections
N_gamma – yield of virtual photons
alpha – fine structure constant

Returns:

\(\frac{d^{2}}{d M^{2}} N_{ee} = \frac{\alpha L{\left(M \right)} \int N_{\gamma}\, dN_{\gamma}}{3 \pi M^{2}}\),

\frac{d^{2}}{d M^{2}} N_{ee} = \frac{\alpha L{\left(M \right)} \int N_{\gamma}\, dN_{\gamma}}{3 \pi M^{2}}

<apply><eq/><apply><diff/><bvar><ci>M</ci><degree><cn>2</cn></degree></bvar><ci><mml:msub><mml:mi>N</mml:mi><mml:mi>ee</mml:mi></mml:msub></ci></apply><apply><divide/><apply><times/><ci>&#945;</ci><apply><l/><ci>M</ci></apply><apply><int/><bvar><ci><mml:msub><mml:mi>N</mml:mi><mml:mi>&#947;</mml:mi></mml:msub></ci></bvar><ci><mml:msub><mml:mi>N</mml:mi><mml:mi>&#947;</mml:mi></mml:msub></ci></apply></apply><apply><times/><cn>3</cn><pi/><apply><power/><ci>M</ci><cn>2</cn></apply></apply></apply></apply>

Eq(Derivative(N_ee, (M, 2)), alpha*L(M)*Integral(N_gamma, N_gamma)/(3*pi*M**2))

Hold[D[N_ee, {M, 2}]] == (1/3)*alpha*L[M]*Hold[Integrate[N_gamma, N_gamma]]/(Pi*M^2)

                         /
                        |
            alpha*L(M)* | N_gamma d(N_gamma)
 2                      |
d                      /
---(N_ee) = --------------------------------
  2                           2
dM                      3*pi*M

                  ⌠
 2         α⋅L(M)⋅⎮ Nᵧ d(Nᵧ)
d                 ⌡
───(Nₑₑ) = ─────────────────
  2                  2
dM              3⋅π⋅M

equation_database.doi_10_1103_PhysRevC_81_034911.bibtex()[source]

DOI, arXiv, Detailed measurement of the \(e^+ e^-\) pair continuum in \(p+p\) and Au+Au collisions at \(\sqrt{s_{NN}} = 200\) GeV and implications for direct photon production

@article{PHENIX:2009gyd,
    author = "Adare, A. and others",
    collaboration = "PHENIX",
    title = "{Detailed measurement of the $e^+ e^-$ pair continuum in $p+p$ and Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV and implications for direct photon production}",
    eprint = "0912.0244",
    archivePrefix = "arXiv",
    primaryClass = "nucl-ex",
    doi = "10.1103/PhysRevC.81.034911",
    journal = "Phys. Rev. C",
    volume = "81",
    pages = "034911",
    year = "2010"
}