The orbital period of the binary pulsar PSR 1913+16 has been observed
to decrease at the rate of 2.40x10(-12) s/s which agrees with the pred
iction of the quadropole formula for gravitational radiation to within
one percent. The decrease in orbital period may also occur by radiati
on of other massless particles such as scalars and pseudoscalar Nambu-
Goldstone bosons. Assuming that this energy loss is less than one perc
ent of the gravitational radiation, we dan establish bounds on couplin
gs of these particles to nucleons; For a scalar nucleon coupling of th
e form <g(s) phi(psi)over bar psi> we find that g(s)<3x10(-19). From t
he radiation loss of massless Goldstone bosons we establish the upper
bound theta g(s)<10(-16) on the QCD vacuum angle theta and the pseudos
calar nucleon coupling constant g(p).