The0ry 0f Dipolon-Phonom Interaction and Isotope Shift in Superconducting Cuprates

Quite recently we have deduced five principles of photoemission and not only we have explained the observed low energy kink but we have also predicted two more high energy kinks [1,2] in quasiparticle energydistribution which have now been observed experimentally, all by means of the dipolon theory [3,4]. Here, the Hamiltonian for the interaction of dipolons with phonons will be presented.The Hamiltonian requires the evaluation of phonon-generated dynamic polarization fields at the oxygen sites in the $Cu-O_2$-planes. The quasi-dipolons (phonon-dressed dipolons) now play role as mediators of electron-electron pairing. Expression for the change in the transition temprature $T_C$ due to change in oxygen isotopic mass has been derived. We have found a small decrease of about 1 per cent in $T_C$ due to $^{16}O\rightarrow^{18}O$ , in agree ment with experiments [5]. The change in dipolon frequencies owing to the interaction with phonons has been calculated. [1] R. R. Sharma, ``Dipolon Theory of Kink Structure.....'', in Superconducting Cuprates....", Ed. K. N. Courtlandt, P. 81-100, Nova Sc, Pub., New York, 2009. [2] R. R. Sharma, Physica {\bf C 468}, 190 (2008). [3] R. R. Sharma, Phy. Rev. {\bf B 63}, 054506 (2001). [4] R. R. Sharma, Physica {\bf C 439}, 47 (2006). [5] J. p. Franck in Physical Properties.....IV, Ed. D. M. Ginsberg, P. 189-293,World Scientific, Singopore, 1994.