We present direct local-probe evidence for strongly hybridized nuclear-electronic spin states of an Ising ferromagnet LiHoF 4 in a transverse magnetic field. The nuclear-electronic states are addressed via a magnetic resonance in the GHz frequency range using coplanar resonators and a vector network analyzer. The magnetic resonance spectrum is successfully traced over the entire field-temperature phase diagram, which is remarkably well reproduced by mean-field calculations. Our method can be directly applied to a broad class of materials containing rare-earth ions for probing the substantially mixed nature of the nuclear and electronic moments. DOI: 10.1103/PhysRevB.94.214433 The compound LiHoF 4 is widely regarded as a prototypical system realizing the transverse-field Ising model [1]. The ground state in zero field is ferromagnetically ordered, while applying a relatively small transverse field induces a zerotemperature quantum phase transition at H c = 4.95 T into a quantum paramagnet [2], as shown in Fig. 1. Meanwhile, the hyperfine coupling strength of a Ho 3+ ion is exceptionally large, with a coupling constant A = 39(1) mK [3,4]. The resulting strong hybridization between the electronic and nuclear magnetic moments [5] leads to two dramatic effects close to the quantum critical point: (i) significant modification of the low-temperature magnetic phase boundary (see Fig. 1) [2]; and (ii) incomplete mode softening of the low-energy electronic excitations at the critical point [6]. Therefore, this system provides a rare opportunity to explore the quantum phase transition of a magnet coupled to a nuclear spin bath [2,[6][7][8].The impact of strong hybridization has also been highlighted for magnetic-ion diluted insulators, such as LiYF 4 :Ho 3+ , using magnetic resonance [9,10]. A similar line of effort has achieved more recently single-molecule magnetic resonance with a rare-earth ion [11]. Furthermore, strong hybridization is of great interest in quantum information science [12][13][14]. As much as these examples focus on the single-ion limit, the other limiting case of many-body systems, such as LiHoF 4 , provides a very different and complementary perspective. While in the long-range-ordered state the hybridization is suppressed, an applied transverse field introduces quantum fluctuations enhancing the hybridization towards H c .However, probing directly the strongly hybridized states in LiHoF 4 using spectroscopic methods, at the lowest-energy scale, has so far been restricted to the thermal paramagnetic phase in the single-ion limit. The involved energy scale is too low to be resolved by neutron scattering [6,7]. Magnetic resonance on 165 Ho nuclei would provide a direct way of probing the hybridized nuclear-electronic states. However, the resonance in the ordered phase is expected around the * ivankowacevic@gmail.com † peter.babkevich@gmail.com ‡ minki.jeong@gmail.com frequency of 4.5 GHz in zero field, which does not fall into the operating frequencies of conventional nuclear magnetic resonance (NM...