Bound states and critical behavior of the Yukawa potential |
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Authors: | LI Yongyao LUO Xiangqian Helmut Krger |
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Institution: | 1. Department of Physics, Sun Yat-sen University, Guangzhou 510275, China 2. Département de Physique, Université Laval, Québec G1K 7P4, Canada |
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Abstract: | We investigate the bound states of the Yukawa potential V (r)=−λexp(−αr)/r, using different algorithms: solving the Schr?dinger equation numerically and our Monte Carlo Hamiltonian approach. There
is a critical α = αC, above which no bound state exists. We study the relation between αC and λ for various angular momentum quantum number l, and find in atomic units, αC(l) = λA
1 exp(−l/B
1) + A
2 exp(−l/B
2)], with A
1 = 1.020(18), B
1 = 0.443(14), A
2 = 0.170(17), and B
2 = 2.490(180). |
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Keywords: | Yukawa potential bound states critical behavior |
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