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A complete realistic study of $_\Lambda ^5$He hypernucleus is presented usinga realistic Hamiltonian and wave function. This study takes into account allrelevant dynamical correlations along with $\Lambda N$ space-exchangecorrelation (SEC). We also compute $\Lambda NN$ force and the corelationinduced by this force. The SEC affects the central repulsive $\lambda N$correlation significantly at $r \le 2.0$ fm, specially at its peak and in itsvicinity. SEC significantly affects energy breakdown of the hypernucleus,$\Lambda$-seperation energy, nuclear core (NC) polarization and densityprofiles. A lage NC polarization is found with and without SEC, respectively.The SEC effect is relatively large in two-pion exchange component of $\LambdaNN$ force. Therefore, any attempt to pin down the strength of this force withno SEC would be flawed.Comment: 4 pages, two 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:mrow><mml:mi>Λ</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:math>space-exchange correlation effects in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mi /><mml:mrow><mml:mi>Λ</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msubsup><mml:mtext>He</mml:mtext></mml:mrow></mml:math>hypernucleus

ΛNspace-exchange correlation effects in theΛ5Hehypernucleus