Bound States and Critical Behavior of the Yukawa Potential
| dc.creator | Luo, Xiang-Qian | |
| dc.creator | Li, Yong-Yao | |
| dc.creator | Kroger, Helmut | |
| dc.date | 2004-07-21 | |
| dc.date | 2005-07-03 | |
| dc.date.accessioned | 2026-07-07T06:26:23Z | |
| dc.date.available | 2026-07-07T06:26:23Z | |
| dc.description | 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 $α=α_C$, above which no bound state exists. We study the relation between $α_C$ and $λ$ for various angular momentum quantum number $l$, and find in atomic units, $α_{C}(l)= λ[A_{1} \exp(-l/ B_{1})+ A_{2} \exp(-l/ B_{2})]$, with $A_1=1.020(18)$, $B_1=0.443(14)$, $A_2=0.170(17)$, and $B_2=2.490(180)$. | |
| dc.description | 15 pages, 12 figures, 5 tables. Version to appear in Sciences in China G | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0407258 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0407258 | |
| dc.identifier | Sci.China G35 (2005) 631-642 | |
| dc.identifier | doi:10.1007/s11433-004-0020-5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97091 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | Quantum Physics | |
| dc.title | Bound States and Critical Behavior of the Yukawa Potential | |
| dc.type | text |