ar X iv : h ep - p h / 04 07 25 8 v 1 2 1 Ju l 2 00 4 Bound States and Critical Behavior of the Yukawa Potential ∗
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چکیده
We investigate the bound states of the Yukawa potential V (r) = −λ exp(−αr)/r, using different algorithms: solving the Schrödinger 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) = λ[A1 exp(−l/B1) + A2 exp(−l/B2)], with A1 = 1.020(18), B1 = 0.443(14), A2 = 0.170(17), and B2 = 2.490(180).
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ar X iv : h ep - p h / 04 07 25 8 v 2 3 J ul 2 00 5 Bound States and Critical Behavior of the Yukawa Potential ∗
We investigate the bound states of the Yukawa potential V (r) = −λ exp(−αr)/r, using different algorithms: solving the Schrödinger 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) = λ[A1 exp(−l/B1) + A...
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تاریخ انتشار 2008