Abstract
Within the path integral model ofd-pairing for HTSC and HFSC developed recently by P. N. Brusov and N. P. Brusova1, the whole collective mode spectrum has been calculated for the first time for five states of HTSC that arise in their symmetry classification as well as for three states of HFSC. For HTSC the calculations have been made for the $$d_{x^2 - y^2 } $$ state which is a candidate for the superconducting state of HTSC in light of numerous recent experiments as well as for $$d_{3z^2 - r^2 } $$ , dxy, dxz, dyz states. For HFSC we considered three states, among themdγ and Y2−1 states treated by Hirashima and Namaizawa2 who used the theory of response. The number of the collective modes in each phase of both superconducting systems is equal to 10, among which five are high frequency modes while five others are Goldstone or Goldstone-like ones. The spectrum can be used to identify the superconducting states through ultrasound and microwave absorption experiments as well as to interpret these experiments.
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