# Bloch Wave Function for the Periodic Sphaleron Potential and Unsuppressed Baryon and Lepton Number Violating Processes

@article{Tye2015BlochWF, title={Bloch Wave Function for the Periodic Sphaleron Potential and Unsuppressed Baryon and Lepton Number Violating Processes}, author={S. H. H. Tye and Sam S. C. Wong}, journal={Physical Review D}, year={2015}, volume={92}, pages={045005} }

For the periodic sphaleron potential in the electroweak theory, we nd the one- dimensional time-independent Schrodinger equation with the Chern-Simons number as the coordinate, construct the Bloch wave function and determine the correspond- ing conducting (pass) band structure. We show that the baryon-lepton number violating processes can take place without the exponential tunneling suppression (at zero temperature) at energies around and above the barrier height (sphaleron en- ergy) at 9.0 TeV…

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