energy - How do momentum get transferred?

Simple Question ,

Consider two objects namely $A$ and $B$ where $B$ is stationary and $A$ is moving towards $B$ with velocity $v$.

When the two objects touch each other what does actually happen between them that $B$ moves.

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  Does the momentum get transferred.

  
  


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  Also is momentum a physically property that can be transferred.

  
  

(If you think somehow really somehow a non physical property like energy is transferred please answer question with regard to it).

• If so How?

I mean what is the process of transfer of momentum.

If the momentum is transferred physically or in very simple words somehow flows .And if It can .Will there be a change in fundamental idea of the process of transfer of it.

For sake of simplicity lets take both objects rigid particles.

I really need Help .

Thank You .