Production of scalar {ital K{bar K}} molecules in {phi} radiative decays

The potentialities of the production of the scalar K{bar K} molecules in {phi} radiative decays are considered beyond the narrow resonance width approximation. It is shown that B{bold (}{phi}{r_arrow}{gamma}f{sub 0}(a{sub 0}){r_arrow}{gamma}{pi}{pi}({pi}{eta}){bold )} {approx}(1{minus}2){times}10{sup {minus}5}, B{bold (}{phi}{r_arrow}{gamma}(f{sub 0}+a{sub 0}){r_arrow}{gamma}K{sup +}K{sup {minus}}{bold )}{approx_lt}10{sup {minus}6}, and B{bold (}{phi}{r_arrow}{gamma}(f{sub 0}+a{sub 0}){r_arrow}{gamma}K{sub S}K{sub S}{bold )}{lt}5{times}10{sup {minus}8}. The mass spectra in the {pi}{pi}, {pi}{eta}, K{sup +}K{sup {minus}} channels are calculated. The imaginary part of the amplitude {phi}{r_arrow}{gamma}f{sub 0}(a{sub 0}) is calculated analytically. The phase of the scalar resonance production amplitude that causes the interference patterns in the reaction e{sup +}e{sup {minus}}{r_arrow}{gamma}{pi}{sup +}{pi}{sup {minus}} in the {phi} meson mass region is obtained. {copyright} {ital 1997} {ital The American Physical Society}