Almost-zero-energy Eigenvalues of Some Broken Supersymmetric Systems

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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revised version, to be pubilshed in PRD

Scientific paper

10.1103/PhysRevD.67.107702

For a quantum mechanical system with broken supersymmetry, we present a simple method of determining the ground state when the corresponding energy eigenvalue is sufficiently small. A concise formula is derived for the approximate ground state energy in an associated, well-separated, asymmetric double-well-type potential. Our discussion is also relevant for the analysis of the fermion bound state in the kink-antikink scalar background.

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