We present mass models for a sample of 30 high-resolution rotation curves o
f low surface brightness galaxies. We fit both pseudoisothermal (core domin
ated) and cold dark matter (CDM; cusp dominated) halos for a wide variety o
f assumptions about the stellar mass-to-light ratio. We find that the pseud
oisothermal model provides superior fits. CDM fits show systematic deviatio
ns from the data and often have a small statistical likelihood of being the
appropriate model. The distribution of concentration parameters is too bro
ad, and has too low a mean, to be explained by low-density, flat CDM (Lambd
a CDM). This failing becomes more severe as increasing allowance is made fo
r stellar mass: Navarro, Frenk, & White (NFW) model fits require uncomforta
bly low mass-to-light ratios. In contrast, the maximum disk procedure does
often succeed in predicting the inner shape of the rotation curves, but it
requires uncomfortably large stellar mass-to-light ratios. The data do admi
t reasonable stellar population mass-to-light ratios if halos have cores ra
ther than cusps.