  We theoretically investigate strong-coupling and finite temperature effects
on the p-wave contacts, as well as the asymptotic behavior of the momentum
distribution in large momentum region in a one-component Fermi gas with a
tunable p-wave interaction. Including p-wave pairing fluctuations within a
strong-coupling theory, we calculate the p-wave contacts above the superfluid
transition temperature $T_{\rm c}$ from the adiabatic energy relations. We show
that while the p-wave contacts related to the scattering volume monotonically
increases with increasing the interaction strength, one related to the
effective range non-monotonically depends on interaction strength and its sign
changes in the intermediate-coupling regime. The non-monotonic interaction
dependence of these quantities is shown to originate from the competition
between the increase of the cutoff momentum and the decrease of the coupling
constant of the p-wave interaction with increasing the effective range. We also
analyze the asymptotic form of the momentum distribution in large momentum
region. In contrast to the conventional s-wave case, we show that the
asymptotic behavior cannot be completely described by only the p-wave contacts,
and the extra terms, which is not related to the thermodynamic properties,
appear. Furthermore, in high temperature region, we find that the extra terms
dominate the sub-leading term of the large-momentum distribution. We also
directly compare our results with the recent experimental measurement, by
including the effects of a harmonic trap potential within the local density
approximation. We show that our model explains the dependence on the
interaction strength of the p-wave contacts.
