Приказ основних података о документу
Low-lying spectrum of the Y-string three-quark potential using hyper-spherical coordinates
dc.creator | Dmitrasinovic, V. | |
dc.creator | Sato, Toru | |
dc.creator | Šuvakov, Milovan | |
dc.date.accessioned | 2018-03-01T20:50:51Z | |
dc.date.available | 2018-03-01T20:50:51Z | |
dc.date.issued | 2009 | |
dc.identifier.issn | 1434-6044 | |
dc.identifier.issn | 1434-6052 | |
dc.identifier.uri | https://vinar.vin.bg.ac.rs/handle/123456789/3737 | |
dc.description.abstract | We calculate the energies of three-quark states with definite permutation symmetry (i.e. of SU(6) multiplets) in the N=0, 1, 2 shells, confined by the Y-string three-quark potential. The exact Y-string potential consists of one term, the so-called three-string term, and three angle-dependent two-string terms. Due to this technical complication we treat the problem at three increasingly accurate levels of approximation: (1) the (approximate) three-string potential expanded to first order in trigonometric functions of hyper-spherical angles; (2) the (approximate) three-string potential to all orders in the power expansion in hyper-spherical harmonics, but without taking into account the transition(s) to two-string potentials; (3) the exact minimal-length string potential to all orders in a power expansion in the hyper-spherical harmonics, and taking into account the transition(s) to two-string potentials. We show the general trend of improvement of these approximations: the exact non-perturbative corrections to the total energy are of the order of one per cent, as compared with approximation (2), yet the exact energy differences between the [20,1(+)],[70,2(+)],[56,2(+)],[70,0(+)]-plets are shifted to 2:2:0.9, from the Bowler and Tynemouth separation rule 2:2:1, which is obeyed by approximation (2) at the one per cent level. The precise value of the energy separation of the first radial excitation (Roper) [56(),0(+)]-plet from the [70,1(-)]-plet depends on the approximation, but does not become negative, i.e. the Roper remains heavier than the odd-parity [70,1(-)]-plet in all of our approximations. | en |
dc.rights | restrictedAccess | en |
dc.source | European Physical Journal C. Particles and Fields | en |
dc.title | Low-lying spectrum of the Y-string three-quark potential using hyper-spherical coordinates | en |
dc.type | article | en |
dcterms.abstract | Дмитрасиновиц, В.; Сато, Тору; Суваков, Милован; | |
dc.citation.volume | 62 | |
dc.citation.issue | 2 | |
dc.citation.spage | 383 | |
dc.citation.epage | 397 | |
dc.identifier.wos | 000267687700009 | |
dc.identifier.doi | 10.1140/epjc/s10052-009-1050-y | |
dc.citation.rank | M22 | |
dc.identifier.scopus | 2-s2.0-67650046769 |
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