The nuclear spin-lattice relaxation rate at the V sites in CaV2O5 was measured. The relaxation rate (1/T1) in the two-leg ladder was calculated with a strong-coupling expansion (J ⊥ ≫ J ) and the result was compared with the experimental data. The comparison of the temperature dependence shows a good agreement and provides an estimate of both J ⊥ and J as well as the energy gap ∆. The magnetic field dependence of 1/T1 is also reproduced with this approximation in the temperature range T ∆/4. It is found that the magnon-magnon collision, which leads to a diffusive behavior, is negligible in this temperature range. The effect of inter-ladder coupling is investigated and found to be weak in CaV2O5. Thus the strong-coupling expansion calculation agrees satisfactorily with the experimental data, but a discrepancy between the exchange parameters deduced from the magnetic susceptibility and 1/T1 is found.KEYWORDS: CaV 2 O 5 , NMR, spin ladder, spin diffusion, nuclear spin relaxation §1. IntroductionThe discovery of high-T C superconductivity in doped two-dimensional antiferromagnets renewed interest in quantum antiferromagnets. In particular, spin-1 2 two-leg ladder antiferromagnets have been extensively studied, being motivated by a theoretical prediction of the quantum disordered ground state with an energy gap and possible superconductivity.1) Actually, the energy gap was experimentally observed in SrCu 2 O 3 .2) Moreover, superconductivity was discovered in Sr 14−x Ca x Cu 24 O 41 under high pressure.3)The low-energy excitations in such gapful spin systems have not been fully understood yet. One problem is a significant discrepancy between the energy gaps determined from the magnetic susceptibility and the nuclear spinlattice relaxation rate 1/T 1 . For the two-leg ladder antiferromagnet SrCu 2 O 3 , 1/T 1 suggests a much larger gap ∆ ∼ 700 K than ∆ ∼ 420 K by the susceptibility.2, 4) Itoh et al. surveyed the data of the susceptibility and 1/T 1 of many gapful quantum paramagnets and pointed out that this discrepancy is observed widely in one-dimensional gapful systems such as Haldane-gap and two-leg ladder antiferromagnets.5) Kishine and Fukuyama calculated 1/T 1 with the Majorana fermion representation of the two-leg ladders. 6) They found a dominant contribution with three times larger energy gap than the lowest excitation and conclude that this is responsible for the discrepancy. Sachdev and Damle developed a semiclassical continuum theory for one-dimensional gapful systems and obtained diffusive behavior in the long-time spin correlation.7, 8) They showed that 1/T 1 is not proportional to e −∆/T but e −3∆/2T at sufficient but not too low temperatures. The diffusive behavior was actually observed * Present Address: Department of Physics, Faculty of Science, Chiba University, Chiba, 263-8522. in magnetic field dependence of 1/T 1 in the Haldane-gap antiferromagnet AgVP 2 S 6 10) and another gapful system (VO) 2 P 2 O 7 .11, 12) These theoretical arguments suggest that the intrinsic energy gap is unique and that ...