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    Symmetry dependence of phonon lineshapes in superconductors with anisotropic gaps

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    The temperature dependence below TcT_{c} of the lineshape of optical phonons of different symmetry as seen in Raman scattering is investigated for superconductors with anisotropic energy gaps. It is shown that the symmetry of the electron-phonon vertex produces non-trivial couplings to an anisotropic energy gap which leads to unique changes in the phonon lineshape for phonons of different symmetry. The phonon lineshape is calculated in detail for B1gB_{1g} and A1gA_{1g} phonons in a superconductor with dx2−y2d_{x^{2}-y^{2}} pairing symmetry. The role of satellite peaks generated by the electron-phonon coupling are also addressed. The theory accounts for the substantial phonon narrowing of the B1gB_{1g} phonon, while narrowing of the A1gA_{1g} phonon which is indistinguishable from the normal state is shown, in agreement with recent measurements on BSCCO.Comment: 15 pages (3 Figures available upon request), Revtex, 1
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