G. Eilam et al., LONG-DISTANCE CONTRIBUTION TO S-]D-GAMMA AND IMPLICATIONS FOR OMEGA(-)-]XI(-)GAMMA, B-S-]B-ASTERISK(D)GAMMA, AND B-]S-GAMMA, Physical review. D. Particles and fields, 53(7), 1996, pp. 3629-3633
We estimate the long-distance (LD) contribution to the magnetic part o
f the s-->d gamma transition using the vector meson dominance approxim
ation (V=rho,omega,psi(i)). We find that this contribution may be sign
ificantly larger than the short-distance (SD) contribution to s-->d ga
mma and could possibly saturate the present experimental upper bound o
n the Omega(-)-->Xi(-)gamma decay rate, Gamma(Omega---><(Xi>-gamma)(ma
x)similar or equal to 3.7x10(-9) eV. For the decay B-s-->B(d) gamma,
which is driver by s-->d gamma as well, we obtain an upper bound on th
e branching ratio B(B-s-->B(d) gamma)<3x10(-8) from Gamma(Omega--->Xi
-gamma)(max). Barring the possibility that the quantum chromodynamics
coefficient alpha(2)(m(s)(2)) is much smaller than 1, Gamma(max Omega-
-->Xi-gamma) also implies the approximate relation 2/3 Sigma(i)g(psi i
)(2)(0)/m(psi i)(2)similar or equal to ho)(2)(0)/m(rho)(2)+1/6g(omega)
(2)(0)/m(omega)(2). This relation agrees quantitatively with a recent
independent estimate of the left-hand side by Deshpande, He, and Tramp
etic, confirming that the LD contributions to b-->s gamma are small. W
e find that these amount to an increase of (4+/-2)% in the magnitude o
f the b-->s gamma transition amplitude, relative to the SD contributio
n alone.