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A dripline nucleus $^{22}$C is studied in a Borromean three-body model of$^{20}$C+$n$+$n$. The valence neutrons, interacting via a realistic potential,are constrained to be orthogonal to the occupied orbits in $^{20}$C. We obtainample results supporting that $^{22}$C is an ideal $S$-wave two-neutron halonucleus: The ground state is bound by 390-570 keV, the root mean square neutronand proton radii are 4.0 and 2.4 fm, and the two neutrons are predominantly in$(s_{1/2})^2$ orbits. The binding mechanism of $^{22}$C is discussed. One- andtwo-body density distributions elucidate the halo character as well as thecorrelated motion of the neutrons. The reaction cross sections of$^{22}$C+$^{12}$C collisions are predicted.Comment: 8 pages, 4 figure

physical review. c. nuclear physics/physical review. c, nuclear physics

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">C</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>22</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>: An<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:math>-wave two-neutron halo nucleus

C22: Ans-wave two-neutron halo nucleus