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High-momentum components of nuclei are essential for understanding theunderlying inter-nucleon correlations in nuclei. We perform the comprehensiveanalysis for the origin of the high-momentum components of $^4$He in theframework of Tensor-optimized High-momentum Antisymmetrized Molecular Dynamics(TO-HMAMD), which is a completely variational approach as an $ab$ $initio$theory starting from the bare nucleon-nucleon ($NN$) interaction. Theanalytical derivations are provided for the nucleon momentum distribution ofthe Antisymmetrized Momentum Dynamics (AMD) wave functions, with subtraction ofcenter-of-mass motion. The nucleon momentum distribution for $^4$He iscalculated by applying a new expansion technique to our $ab$ $initio$ wavefunction, and agrees with the values extracted from experimental data up to thehigh-momentum region. Fine-grained analysis is performed for the high-momentumcomponents in $^4$He with respect to different nucleon correlations.Contributions from tensor, central with short-range, and many-body correlationsare extracted from the nucleon momentum distributions. The manifestation oftensor correlation around 2 fm$^{-1}$ region is explicitly confirmed bycomparing the momentum distributions predicted using different types of $NN$interactions with and without the tensor force.

High-momentum components in the $^4$He nucleus caused by inter-nucleon correlations