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A particle number conserving BCS approach (FBCS) is formulated in therelativistic mean field (RMF) model. It is shown that the so-obtained RMF+FBCSmodel can describe the weak pairing limit. We calculate the ground-stateproperties of the calcium isotopes $^{32-74}$Ca and compare the results withthose obtained from the usual RMF+BCS model. Although the results are quitesimilar to each other, we observe an interesting phenomenon, i.e., for$^{54}$Ca, the FBCS approach can enhance the occupation probability of the$2p_{1/2}$ single particle level and slightly increases its radius, comparedwith the RMF+BCS model. This leads to an unusual scenario that although$^{54}$Ca is more bound with a spherical configuration but the correspondingsize is not the most compact one. We anticipate that such a phenomenon mighthappen for other neutron rich nuclei and should be checked by further moresystematic studies.

Particle number conserving BCS approach in the relativistic mean field model and its application to $^{32-74}$Ca