Source code for equation_database.doi_10_1103_PhysRevC_81_034911

import sympy as sp

from equation_database.util.doc import bib, equation




@equation()
def equation_B1(
    N_ee=sp.Symbol("N_ee"),
    M=sp.Symbol("M"),
    L=sp.Function("L"),
    N_gamma=sp.Symbol("N_gamma"),
    alpha=sp.Symbol("alpha"),
):
    """


    Args:
        N_ee: electron pair yield
        M: mass of the virtual photon
        L: leptonic corrections
        N_gamma: yield of virtual photons
        alpha: fine structure constant
    """
    return sp.Eq(
        sp.Derivative(N_ee, M, 2),
        (alpha) / (3 * sp.pi) * (L(M) / M**2) * sp.Integral(N_gamma),
    )





@bib()
def bibtex():
    return r"""
@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"
}
"""