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An approach to the Generator Coordinate Method (GCM) using Skyrme-typeeffective forces and Woods-Saxon construction potential is applied to calculatethe single-particle proton and neutron overlap functions in $^{40}$Ca. Therelationship between the bound-state overlap functions and the one-body densitymatrix has been used. These overlap functions are applied to calculate thecross sections of one-nucleon removal reactions such as ($e,e'p$), ($\gamma,p$)and ($p,d$) on $^{40}$Ca on the same theoretical footing. A consistentdescription of data for the different reactions is achieved. The shapes of theexperimental cross sections for transitions to the $3/2^{+}$ ground state andthe first $1/2^{+}$ excited state of the residual nuclei are well reproduced bythe overlap functions obtained within the GCM. An additional spectroscopicfactor accounting for correlations not included in the overlap function must beapplied to the calculated results to reproduce the size of the experimentalcross sections.Comment: 16 pages, 6 figures, to be published in Phys. Rev.

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

Generator coordinate method calculations of one-nucleon removal reactions on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>40</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">Ca</mml:mi></mml:math>

Generator coordinate method calculations of one-nucleon removal reactions on40Ca