\relax 
\providecommand\hyper@newdestlabel[2]{}
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
\global\let\oldcontentsline\contentsline
\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global\let\oldnewlabel\newlabel
\gdef\newlabel#1#2{\newlabelxx{#1}#2}
\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\ifx\hyper@anchor\@undefined
\let\contentsline\oldcontentsline
\let\newlabel\oldnewlabel
\fi}
\fi}
\global\let\hyper@last\relax 
\gdef\HyperFirstAtBeginDocument#1{#1}
\providecommand\HyField@AuxAddToFields[1]{}
\providecommand\HyField@AuxAddToCoFields[2]{}
\citation{Kutzelnigg85}
\citation{Kutzelnigg85,Kutzelnigg91,Termath91,Klopper91a,Klopper91b,Noga94}
\citation{Persson96,Persson97,May04,Tenno04b,Tew05,May05}
\citation{Tenno12a,Tenno12b,Hattig12,Kong12}
\citation{Tew07b}
\citation{Malrieu85}
\citation{Heully92,Garniron18}
\citation{Knowles84,Knowles89}
\citation{Huron73,Giner13,Giner15,Caffarel16,Scemama18a,Scemama18b,Loos18b,Loos19}
\citation{Shiozaki11}
\citation{Kato51,Kato57}
\citation{Pack66,Morgan93,Tew08,ExSpherium10,eee15}
\newlabel{FirstPage}{{}{1}{}{section*.1}{}}
\@writefile{toc}{\contentsline {title}{Dressing the configuration interaction matrix with explicit correlation}{1}{section*.2}}
\@writefile{toc}{\contentsline {abstract}{Abstract}{1}{section*.1}}
\@writefile{toc}{\contentsline {section}{\numberline {I}Introduction}{1}{section*.3}}
\@writefile{toc}{\contentsline {section}{\numberline {II}Ans{\"a}tz}{1}{section*.4}}
\newlabel{eq:ansatz}{{1}{1}{}{equation.2.1}{}}
\newlabel{eq:D}{{2}{1}{}{equation.2.2}{}}
\newlabel{eq:WF-F12-CIPSI}{{3}{1}{}{equation.2.3}{}}
\newlabel{eq:Ja}{{5}{1}{}{equation.2.5}{}}
\@writefile{toc}{\contentsline {section}{\numberline {III}Effective Hamiltonian}{1}{section*.5}}
\citation{Tenno04a}
\citation{Garniron18}
\citation{Garniron18}
\citation{SzaboBook}
\citation{Kutzelnigg91,Klopper92,Persson97,Klopper02,Manby03,Werner03,Klopper04,Tenno04a,Tenno04b,May05,Manby06,Tenno07,Komornicki11,Reine12,GG16}
\citation{Kutzelnigg91,Klopper92}
\citation{3ERI1,3ERI2,4eRR,IntF12}
\citation{Kutzelnigg91,Klopper02,Valeev04,Werner07,Hattig12}
\citation{Klopper02,Valeev04}
\newlabel{eq:DrH}{{9}{2}{}{equation.3.9}{}}
\newlabel{eq:IHF}{{10}{2}{}{equation.3.10}{}}
\newlabel{eq:tI}{{11}{2}{}{equation.3.11}{}}
\newlabel{eq:DrH}{{12}{2}{}{equation.3.12}{}}
\@writefile{toc}{\contentsline {section}{\numberline {IV}Matrix elements}{2}{section*.6}}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces   Schematic representation of the various orbital spaces and their notation. The arrows represent the three types of excited determinants contributing to the dressing term: the pure doubles $\ket *{_{ij}^{\alpha \beta }}$ (green), the mixed doubles $\ket *{_{ij}^{a \beta }}$ (magenta) and the pure singles $\ket *{_{i}^{\alpha }}$ (orange).}}{2}{figure.1}}
\newlabel{fig:CBS}{{1}{2}{Schematic representation of the various orbital spaces and their notation. The arrows represent the three types of excited determinants contributing to the dressing term: the pure doubles $\ket *{_{ij}^{\alpha \beta }}$ (green), the mixed doubles $\ket *{_{ij}^{a \beta }}$ (magenta) and the pure singles $\ket *{_{i}^{\alpha }}$ (orange)}{figure.1}{}}
\newlabel{eq:RI}{{13}{2}{}{equation.4.13}{}}
\citation{Garniron17b}
\citation{Kutzelnigg91}
\citation{Tenno04a}
\citation{Persson96,Persson97,May04,Tenno04b,Tew05,May05}
\citation{Tew05}
\citation{Kong12}
\citation{Nakashima07}
\citation{Puchalski09}
\citation{Sharkey11}
\citation{Bubin11}
\citation{Sharkey10}
\citation{Klopper10}
\citation{Pachucki10}
\citation{Giner15}
\citation{Cleland12}
\citation{Caffarel16}
\citation{AlmoraDiaz14}
\citation{Yousaf08,Yousaf09}
\citation{Giner13,Giner15,Caffarel16}
\newlabel{eq:IHF-RI}{{14}{3}{}{equation.4.14}{}}
\@writefile{toc}{\contentsline {section}{\numberline {V}Computational details}{3}{section*.7}}
\@writefile{toc}{\contentsline {section}{\numberline {VI}Results}{3}{section*.8}}
\@writefile{lot}{\contentsline {table}{\numberline {I}{\ignorespaces   FCI-F12 and FCI total ground-state energy of the neutral atoms for $Z = 2$ to $10$ calculated with Dunning's cc-pCVXZ and cc-pVXZ basis sets. \leavevmode {\color  {red}The corresponding cc-pVXZ\_OPTRI or cc-pCVXZ\_OPTRI auxiliary basis is used as CABS.}}}{3}{table.1}}
\newlabel{tab:atoms}{{I}{3}{FCI-F12 and FCI total ground-state energy of the neutral atoms for $Z = 2$ to $10$ calculated with Dunning's cc-pCVXZ and cc-pVXZ basis sets. \alert {The corresponding cc-pVXZ\_OPTRI or cc-pCVXZ\_OPTRI auxiliary basis is used as CABS.}}{table.1}{}}
\bibdata{CI-F12Notes,CI-F12,CI-F12-control}
\bibcite{Kutzelnigg85}{{1}{1985}{{Kutzelnigg}}{{}}}
\bibcite{Kutzelnigg91}{{2}{1991}{{Kutzelnigg\ and\ Klopper}}{{}}}
\bibcite{Termath91}{{3}{1991}{{Termath, Klopper,\ and\ Kutzelnigg}}{{}}}
\bibcite{Klopper91a}{{4}{1991}{{Klopper\ and\ Kutzelnigg}}{{}}}
\bibcite{Klopper91b}{{5}{1991}{{Klopper, Rohse,\ and\ Kutzelnigg}}{{}}}
\bibcite{Noga94}{{6}{1994}{{Noga\ and\ Kutzelnigg}}{{}}}
\bibcite{Persson96}{{7}{1996}{{Persson\ and\ Taylor}}{{}}}
\bibcite{Persson97}{{8}{1997}{{Persson\ and\ Taylor}}{{}}}
\bibcite{May04}{{9}{2004}{{May\ and\ Manby}}{{}}}
\bibcite{Tenno04b}{{10}{2004{}}{{Ten-no}}{{}}}
\bibcite{Tew05}{{11}{2005}{{Tew\ and\ Klopper}}{{}}}
\bibcite{May05}{{12}{2005}{{May\ \emph  {et~al.}}}{{May, Valeev, Polly,\ and\ Manby}}}
\bibcite{Tenno12a}{{13}{2012}{{Ten-no\ and\ Noga}}{{}}}
\bibcite{Tenno12b}{{14}{2012}{{Ten-no}}{{}}}
\bibcite{Hattig12}{{15}{2012}{{Hattig\ \emph  {et~al.}}}{{Hattig, Klopper, Kohn,\ and\ Tew}}}
\bibcite{Kong12}{{16}{2012}{{Kong, Bischo,\ and\ Valeev}}{{}}}
\bibcite{Tew07b}{{17}{2007}{{Tew\ \emph  {et~al.}}}{{Tew, Klopper, Neiss,\ and\ Hattig}}}
\bibcite{Malrieu85}{{18}{1985}{{Malrieu, Durand,\ and\ Daudey}}{{}}}
\bibcite{Heully92}{{19}{1992}{{Heuilly\ and\ Malrieu}}{{}}}
\bibcite{Garniron18}{{20}{2018}{{Garniron\ \emph  {et~al.}}}{{Garniron, Scemama, Giner, Caffarel,\ and\ Loos}}}
\bibcite{Knowles84}{{21}{1984}{{Knowles\ and\ Handy}}{{}}}
\bibcite{Knowles89}{{22}{1989}{{Knowles\ and\ Handy}}{{}}}
\bibcite{Huron73}{{23}{1973}{{Huron, Malrieu,\ and\ Rancurel}}{{}}}
\bibcite{Giner13}{{24}{2013}{{Giner, Scemama,\ and\ Caffarel}}{{}}}
\bibcite{Giner15}{{25}{2015}{{Giner, Scemama,\ and\ Caffarel}}{{}}}
\bibcite{Caffarel16}{{26}{2016}{{Caffarel\ \emph  {et~al.}}}{{Caffarel, Applencourt, Giner,\ and\ Scemama}}}
\bibcite{Scemama18a}{{27}{2018}{{Scemama\ \emph  {et~al.}}}{{Scemama, Garniron, Caffarel,\ and\ Loos}}}
\bibcite{Scemama18b}{{28}{ress}{{Scemama\ \emph  {et~al.}}}{{Scemama, Benali, Jacquemin, Caffarel,\ and\ Loos}}}
\bibcite{Loos18b}{{29}{2018}{{Loos\ \emph  {et~al.}}}{{Loos, Scemama, Blondel, Garniron, Caffarel,\ and\ Jacquemin}}}
\bibcite{Loos19}{{30}{2019}{{Loos\ \emph  {et~al.}}}{{Loos, Boggio-Pasqua, Scemama, Caffarel,\ and\ Jacquemin}}}
\bibcite{Shiozaki11}{{31}{2011}{{Shiozaki, Knizia,\ and\ Werner}}{{}}}
\bibcite{Kato51}{{32}{1951}{{Kato}}{{}}}
\bibcite{Kato57}{{33}{1957}{{Kato}}{{}}}
\bibcite{Pack66}{{34}{1966}{{Pack\ and\ {Byers Brown}}}{{}}}
\bibcite{Morgan93}{{35}{1993}{{{Morgan III}\ and\ Kutzelnigg}}{{}}}
\bibcite{Tew08}{{36}{2008}{{Tew}}{{}}}
\bibcite{ExSpherium10}{{37}{2010}{{Loos\ and\ Gill}}{{}}}
\bibcite{eee15}{{38}{2015}{{Loos, Bloomfield,\ and\ Gill}}{{}}}
\bibcite{Tenno04a}{{39}{2004{}}{{Ten-no}}{{}}}
\bibcite{SzaboBook}{{40}{1989}{{Szabo\ and\ Ostlund}}{{}}}
\bibcite{Klopper92}{{41}{1992}{{Klopper\ and\ Rohse}}{{}}}
\bibcite{Klopper02}{{42}{2002}{{Klopper\ and\ Samson}}{{}}}
\bibcite{Manby03}{{43}{2003}{{Manby}}{{}}}
\bibcite{Werner03}{{44}{2003}{{Werner, Manby,\ and\ Knowles}}{{}}}
\bibcite{Klopper04}{{45}{2004}{{Klopper}}{{}}}
\bibcite{Manby06}{{46}{2006}{{Manby\ \emph  {et~al.}}}{{Manby, Werner, Adler,\ and\ May}}}
\bibcite{Tenno07}{{47}{2007}{{Ten-no}}{{}}}
\@writefile{lot}{\contentsline {table}{\numberline {II}{\ignorespaces   CIPSI, FCI-F12, i-FCIQMC and FCI total ground-state energy of the \ce {H2}, \ce {F2} and \ce {H2)} molecules at experimental geometry with Dunning's cc-pVXZ basis set. The corresponding cc-pVXZ\_OPTRI auxiliary basis is used as CABS.}}{4}{table.2}}
\newlabel{tab:molecules}{{II}{4}{CIPSI, FCI-F12, i-FCIQMC and FCI total ground-state energy of the \ce {H2}, \ce {F2} and \ce {H2)} molecules at experimental geometry with Dunning's cc-pVXZ basis set. The corresponding cc-pVXZ\_OPTRI auxiliary basis is used as CABS}{table.2}{}}
\@writefile{toc}{\contentsline {section}{\numberline {VII}Conclusion}{4}{section*.9}}
\@writefile{toc}{\contentsline {section}{\numberline {}Acknowledgments}{4}{section*.10}}
\bibcite{Komornicki11}{{48}{2011}{{Komornicki\ and\ King}}{{}}}
\bibcite{Reine12}{{49}{2012}{{Reine, Helgaker,\ and\ Lind}}{{}}}
\bibcite{GG16}{{50}{2016}{{Barca\ and\ Gill}}{{}}}
\bibcite{3ERI1}{{51}{2016}{{Barca, Loos,\ and\ Gill}}{{}}}
\bibcite{3ERI2}{{52}{tion}{{Barca, Loos,\ and\ Gill}}{{}}}
\bibcite{4eRR}{{53}{ress}{{Barca\ and\ Loos}}{{}}}
\bibcite{IntF12}{{54}{2017}{{Barca\ and\ Loos}}{{}}}
\bibcite{Valeev04}{{55}{2004}{{Valeev}}{{}}}
\bibcite{Werner07}{{56}{2007}{{Werner, Adler,\ and\ Manby}}{{}}}
\bibcite{Garniron17b}{{57}{2017}{{Garniron\ \emph  {et~al.}}}{{Garniron, Scemama, Loos,\ and\ Caffarel}}}
\bibcite{Nakashima07}{{58}{2007}{{Nakashima\ and\ Nakatsuji}}{{}}}
\bibcite{Puchalski09}{{59}{2009}{{Puchalski, Kedziera,\ and\ Pachucki}}{{}}}
\bibcite{Sharkey11}{{60}{2011}{{Sharkey\ and\ Adamowicz}}{{}}}
\bibcite{Bubin11}{{61}{2011}{{Bubin\ and\ Adamowicz}}{{}}}
\bibcite{Sharkey10}{{62}{2010}{{Sharkey, Bubin,\ and\ Adamowicz}}{{}}}
\bibcite{Klopper10}{{63}{2010}{{Klopper\ \emph  {et~al.}}}{{Klopper, Bachorz, Tew,\ and\ Hattig}}}
\bibcite{Pachucki10}{{64}{2010}{{Pachucki}}{{}}}
\bibcite{Cleland12}{{65}{2012}{{Cleland\ \emph  {et~al.}}}{{Cleland, Booth, Overy,\ and\ Alavi}}}
\bibcite{AlmoraDiaz14}{{66}{2014}{{Almora-Diaz}}{{}}}
\bibcite{Yousaf08}{{67}{2008}{{Yousaf\ and\ Peterson}}{{}}}
\bibcite{Yousaf09}{{68}{2009}{{Yousaf\ and\ Peterson}}{{}}}
\bibstyle{aipnum4-1}
\citation{REVTEX41Control}
\citation{aip41Control}
\newlabel{LastBibItem}{{68}{5}{}{section*.10}{}}
\newlabel{LastPage}{{}{5}{}{}{}}