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\title{\parbox{\linewidth}{\huge\centering Temperature effect on neutron capture in tin isotopes}}

\author[1]{\Large <NAME>}
\author[2]{\Large <NAME>}
\author[1]{\Large <NAME>}

\affil[1]{ELI-NP, “Horia Hulubei” National Institute for Physics and Nuclear Engineering,
30 Reactorului Street, RO-077125, Bucharest-Magurele, Romania}
\affil[2]{School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China}

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\begin{document}

\maketitle
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\begin{columns}
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    \block{Introduction}
    {As shown by the sensitivity study in~\cite{Mumpower2016}, neutron capture dynamics
	    on Sn isotopes are very important for r-process study~(\cite{Litvinova_2009}). We
    study the effect of finite temperature on the neutron-capture cross sections and
    capture rates of even-even tin isotopes, with neutron numbers between 76 and 96.
	\begin{tikzfigure}
	    \includegraphics[width=0.3\textwidth]{images/mumpower.pdf}
	\end{tikzfigure}
   }

	\block{Formalism}{

	We compute E1 dipole strengths at zero and finite temperature using
RHB + QRPA and FTRMF + FTRPA, respectively~(\cite{Niu_2009}):
	\begin{equation*}
	   \left( \begin{array}{cc} A & B \\ -B^* & -A^* \end{array} \right)
	   \left( \begin{array}{c} X \\ Y \end{array} \right)
	   = \hbar\omega \left( \begin{array}{c} X \\ Y \end{array} \right) \;,
	\end{equation*}
	where
	\begin{equation*}
	   A = \left( \begin{array}{cc} (\epsilon_m - \epsilon_i)
	   \delta_{ii'} \delta_{mm'} &  \\
	   & (\epsilon_\alpha - \epsilon_i) \delta_{\alpha \alpha'}
	   \delta_{ii'} \end{array} \right)
	   + \left( \begin{array}{cc} (n_{i'} - n_{m'})V_{mi'im'} & n_{i'} V_{mi'i\alpha'} \\
	   (n_{i'} - n_{m'})V_{\alpha i' i m'}  &n_{i'} V_{\alpha i' i \alpha'} \end{array}
	   \right) \;,
	  \end{equation*}
	  and
	\begin{equation*}
	   B =\left( \begin{array}{cc} (n_{i'} - n_{m'})V_{mm'ii'} & n_{i'}V_{m\alpha'ii'} \\
	    (n_{i'} - n_{m'})V_{\alpha m' i i'}  & n_{i'}  V_{\alpha \alpha' i i' } \end{array}
	    \right)\; .
	  \end{equation*}

	$V$ is the residual two-body interaction and the thermal occupation factors $n_k$ denote a Fermi-Dirac distribution for states in the Fermi sea with index $m,i$, and $0$ for states in the Dirac sea with index $\alpha$. The configuration space also includes pp and hh pairs. We use TALYS for computing cross sections and capture rate.}

	\block{E1 strength functions}
    {
        \begin{tikzfigure}
            \includegraphics[width=0.38\textwidth]{images/colormesh.pdf}
        \end{tikzfigure}
    }

    \block{References}{
        \printbibliography[heading=none]}


    \column{0.5}

    \block{E1 strength and neutron capture cross section}{
        \begin{tikzfigure}
            \includegraphics[width=0.39\textwidth]{images/strength_cross_section.pdf}
        \end{tikzfigure}
    }

    \block{Neutron capture rate}{
        \begin{tikzfigure}
            \includegraphics[width=0.35\textwidth]{images/capture_rate_vs_N.pdf}
        \end{tikzfigure}
    }

    \block{~}{
	    Supported by ELI-NP Phase II, a project cofinanced by the 
	    Romanian Government and the EU through the European Regional Development
	    Fund and COP 1/07.07.2016, ID 1334
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\end{document}
