Calogero model with Yukawa like interaction
| dc.creator | Kessabi, Mohammed | |
| dc.creator | Saidi, El Hassan | |
| dc.creator | Sebbata, Hanane | |
| dc.date | 2005-11-03 | |
| dc.date.accessioned | 2026-07-07T11:06:17Z | |
| dc.date.available | 2026-07-07T11:06:17Z | |
| dc.description | We study an extension of one dimensional Calogero model involving strongly coupled and electrically charged particles. Besides Calogero term $\frac{g}{% 2x^{2}}$, there is an extra factor described by a Yukawa like coupling modeling short distance interactions. Mimicking Calogero analysis and using developments in formal series of the wave function $Ψ(x) $ factorised as $x^εΦ(x) $ with $ε(ε-1) =g$, we develop a technique to approach the spectrum of the generalized system and show that information on full spectrum is captured by $Φ(x) $ and $Φ^{\prime \prime}(x) $ at the singular point $x=0$ of the potential. Convergence of $% \int dx| Ψ(x) | ^{2}$ requires $ε>-{1/2}$ and is shown to be sensitive to the zero mode of $Φ(x) $ at $x=0$. \textbf{Key words}: \textit{Hamitonian systems, quantum integrability, Calogero model, Yukawa like potential.} | |
| dc.description | 12 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/hep-th/0511041 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0511041 | |
| dc.identifier | Phys.Lett.B632:586-592,2006 | |
| dc.identifier | doi:10.1016/j.physletb.2005.10.084 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/189471 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Calogero model with Yukawa like interaction | |
| dc.type | text |