We report observations of SMC X-l in three new high-intensity states with R
OSAT HRI in December 1995, May 1997, and March 1998 in which pulsations wit
h a period of 0.70769 (+/- 0.00006) a, 0.70706 (+/- 0.00001) s, and 0.70670
7 (+/- 0.00001) s respectively were detected. Combining the pulse periods f
rom observations with ROSAT PSPC in high-intensity states in October 1991 a
nd March 1998, respectively, we obtain the spin-up rate of the pulsar in re
cent 6.5 years, -(P) over dot = (1.18 +/- 0.06) 10(-11) s s(-1), consistent
with the average spin-up rate -(P) over dot = 1.2 10(-11) s s(-1) determin
ed from previous measurements indicating that the stable spin-up has contin
ued. Pulsations with a period of 0.709103 (+/- 0.000003) s were also detect
ed similar to 2 weeks after an X-ray turn-off during an X-ray low-intensity
state in October 1991, and the period derivative derived within similar to
10 days is -(P) over dot similar or equal to (1.1 +/- 0.7) 10(-11) ss(-1).
This is consistent with a constant accretion torque in sign and magnitude.
The magnitude of the magnetic moment of the pulsar is discussed based on di
fferent description of the apparent spin-up behavior.