  The neutrinoless double beta decay is a pivotal weak nuclear process that
holds the potential to unveil the Majorana nature of neutrinos and predict
their absolute masses. In this study, we delve into examining the impact of
spin-dependent short-range correlations (SRC) on the nuclear matrix elements
(NMEs) for the light neutrino-exchange mechanism in neutrinoless double beta
($0\nu\beta\beta$) decay of $^{48}$Ca, employing an extensive interacting
nuclear shell model. All computations are performed employing the effective
shell model Hamiltonian GXPF1A, encompassing the entire $fp$ model space
through the closure approximation. Our investigation examines the NMEs'
dependencies on factors such as the number of intermediate states, coupled
spin-parity attributes of neutrons and protons, neutrino momentum,
inter-nucleon separation, and closure energy. This scrutiny is performed with
respect to both the conventional Jastrow-type approach of SRC, employing
various parameterizations, and the spin-dependent SRC paradigm. Our findings
illuminate a discernible distinction in NMEs induced by spin-dependent SRC,
differing by approximately 10-20\% from those computed through the conventional
Jastrow-type SRC, incorporating distinct parameterizations.
