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I calculated the critical temperature and superconducting gap in the framework of one band d wave Eliashberg theory with only one free parameter in order to reproduce the experimental data relative to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>B</mi><msub><mi>i</mi><mn>2</mn></msub><mi>S</mi><msub><mi>r</mi><mn>2</mn></msub><mi>C</mi><mi>a</mi><mi>C</mi><msub><mi>u</mi><mn>2</mn></msub><msub><mi>O</mi><mrow><mn>8</mn><mo>+</mo><mi>δ</mi></mrow></msub></mrow></semantics></math></inline-formula><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>B</mi><mi>S</mi><mi>C</mi><mi>C</mi><mi>O</mi><mo>)</mo></mrow></semantics></math></inline-formula> in the overdoped regime. The theoretical calculations are in excellent agreement with the experimental data and indicate that cuprates in the overdoped regime are well described by standard d-wave Eliashberg theory with coupling provided by antiferromagnetic spin fluctuations.