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Experimental results of the $p(^{13}{\rm B},d)^{12}{\rm B}$ transfer reactionto the low-lying states in $^{12}$B are reported. The optical potentialparameters for the entrance channel are extracted from the elastic scattering$p$($^{13}{\rm B}$, $p$) measured in the same experiment, while those for theexit channel are global ones. Spectroscopic factors associated with the $p$-,$s$-, and $d$-wave neutron transfer to the known $^{12}$B states, are extractedby comparing the deuteron angular distributions with the calculation results.The separated $s$- and $d$-wave intruder strengths in $^{13}{\rm B}_{\rm g.s.}$were determined to be $10(2)\%$ and $6(1)\%$, respectively, which followroughly the systematics for the $N$ = 8 neutron-rich isotones. The measuredtotal intruder strength is in good agreement with the shell model calculation,while the individual ones evolve quite differently. Particularly, the suddenchange of the $d$-wave intensity between $^{13}$B and $^{12}$Be needs furthertheoretical interpretation.

Study of $s$- and $d$-wave intruder strengths in $^{13}{\rm B}_{\rm g.s.}$ via a $p(^{13}{\rm B},d)^{12}{\rm B}$ reaction