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The neutrinoless double beta decay is a pivotal weak nuclear process thatholds the potential to unveil the Majorana nature of neutrinos and predicttheir absolute masses. In this study, we delve into examining the impact ofspin-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 interactingnuclear shell model. All computations are performed employing the effectiveshell model Hamiltonian GXPF1A, encompassing the entire $fp$ model spacethrough the closure approximation. Our investigation examines the NMEs'dependencies on factors such as the number of intermediate states, coupledspin-parity attributes of neutrons and protons, neutrino momentum,inter-nucleon separation, and closure energy. This scrutiny is performed withrespect to both the conventional Jastrow-type approach of SRC, employingvarious parameterizations, and the spin-dependent SRC paradigm. Our findingsilluminate a discernible distinction in NMEs induced by spin-dependent SRC,differing by approximately 10-20\% from those computed through the conventionalJastrow-type SRC, incorporating distinct parameterizations.

Effect of Spin-Dependent Short-Range Correlations on Nuclear Matrix Elements for Neutrinoless Double Beta Decay of $^{48}$Ca