Zero Range Scattering Theory Ii . Minimal Relativistic Three - Particle Equations and the Efimov Effect
نویسنده
چکیده
We present numerical results obtained from a minimal relativistic model for three distinguishable particles of equal mass driven by a single bound or virtual state for each pair, which is a relativistic generalization of the zero range non-relativistic two particle scattering length model. In contrast to the non-relativistic case, the relativistic kinematics makes the three body equations converge to unique, unitary results. When the binding energy or virtual energy of the two body driving term approaches zero (infinite scattering length) the infinite three particle bound state spectrum (Efimov effect) is rigorously derived with numerical results in quantitative agreement with appropriate non-relativistic calculations.
منابع مشابه
Zero Range Scattering Theory
We prove here that by taking the zero range limit of conventional nonrelativistic three-particle theories and restricting the two-particle amplitude in this limit to have no singularities at negative energy .-o her than bound state poles, F we can derive unitary three particle equations depending only on two-particle physical observables. Phenom. -.. enological extensions of this theory suitabl...
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