FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2798779872> ?p ?o ?g. }

• W2798779872 abstract "We apply the newly developed theory of permutation-symmetric O(6) hyperspherical harmonics to the quantum-mechanical problem of three non-relativistic quarks confined by a spin-independent 3-quark potential. We use our previously derived results to reduce the three-body Schrodinger equation to a set of coupled ordinary differential equations in the hyper-radius $R$ with coupling coefficients expressed entirely in terms of (i) a few interaction-dependent O(6) expansion coefficients and (ii) O(6) hyperspherical harmonics matrix elements, that have been evaluated in our previous paper. This system of equations allows a solution to the eigenvalue problem with homogeneous 3-quark potentials, which class includes a number of standard Ansatze for the confining potentials, such as the Y- and $Delta$-string ones. We present analytic formulae for the $K = 2, 3, 4, 5$ shell states' eigen-energies in homogeneous three-body potentials, which formulae we then apply to the Y- and $Delta$-string, as well as the logarithmic confining potentials. We also present numerical results for power-law pair-wise potentials with the exponent ranging between -1 and +2. In the process we resolve the 25 year-old Taxil and Richard vs. Bowler et al. controversy regarding the ordering of states in the $K = 3$ shell, in favor of the former. Finally, we show the first clear difference between the spectra of $Delta$- and Y-string potentials, which appears in $K geq 3$ shells. Our results are generally valid, not just for confining potentials, but also for many momentum-independent permutation-symmetric homogenous potentials, that need not be pairwise sums of two-body terms. The potentials that can be treated in this way must be square-integrable under the O(6) hyperangular integral, however, which class does not include the Dirac $delta$-function." @default.
• W2798779872 created "2018-05-07" @default.
• W2798779872 creator A5041251645 @default.
• W2798779872 creator A5079382155 @default.
• W2798779872 date "2018-05-14" @default.
• W2798779872 modified "2023-09-29" @default.
• W2798779872 title "O(6) algebraic theory of three nonrelativistic quarks bound by spin-independent interactions" @default.
• W2798779872 cites W1984669445 @default.
• W2798779872 cites W1986605343 @default.
• W2798779872 cites W1992255765 @default.
• W2798779872 cites W2002516231 @default.
• W2798779872 cites W2003503224 @default.
• W2798779872 cites W2013083269 @default.
• W2798779872 cites W2022637743 @default.
• W2798779872 cites W2023691538 @default.
• W2798779872 cites W2026496299 @default.
• W2798779872 cites W2028844234 @default.
• W2798779872 cites W2033561682 @default.
• W2798779872 cites W2038128640 @default.
• W2798779872 cites W2045725322 @default.
• W2798779872 cites W2051374952 @default.
• W2798779872 cites W2052307637 @default.
• W2798779872 cites W2056008105 @default.
• W2798779872 cites W2056176316 @default.
• W2798779872 cites W2081490517 @default.
• W2798779872 cites W2085364020 @default.
• W2798779872 cites W2086555381 @default.
• W2798779872 cites W2108372216 @default.
• W2798779872 cites W2117083307 @default.
• W2798779872 cites W2142744569 @default.
• W2798779872 cites W2261330270 @default.
• W2798779872 cites W2335732899 @default.
• W2798779872 cites W2339168568 @default.
• W2798779872 cites W2340559875 @default.
• W2798779872 cites W2530814114 @default.
• W2798779872 cites W2582939851 @default.
• W2798779872 cites W2613814182 @default.
• W2798779872 cites W2617143337 @default.
• W2798779872 cites W2985326701 @default.
• W2798779872 cites W3101306231 @default.
• W2798779872 cites W4233060462 @default.
• W2798779872 cites W4233317230 @default.
• W2798779872 doi "https://doi.org/10.1103/physrevd.97.094011" @default.
• W2798779872 hasPublicationYear "2018" @default.
• W2798779872 type Work @default.
• W2798779872 sameAs 2798779872 @default.
• W2798779872 citedByCount "2" @default.
• W2798779872 countsByYear W27987798722020 @default.
• W2798779872 countsByYear W27987798722021 @default.
• W2798779872 crossrefType "journal-article" @default.
• W2798779872 hasAuthorship W2798779872A5041251645 @default.
• W2798779872 hasAuthorship W2798779872A5079382155 @default.
• W2798779872 hasBestOaLocation W27987798722 @default.
• W2798779872 hasConcept C121332964 @default.
• W2798779872 hasConcept C138885662 @default.
• W2798779872 hasConcept C174084160 @default.
• W2798779872 hasConcept C2780388253 @default.
• W2798779872 hasConcept C37914503 @default.
• W2798779872 hasConcept C41895202 @default.
• W2798779872 hasConcept C42704618 @default.
• W2798779872 hasConcept C62520636 @default.
• W2798779872 hasConcept C7602139 @default.
• W2798779872 hasConcept C97355855 @default.
• W2798779872 hasConceptScore W2798779872C121332964 @default.
• W2798779872 hasConceptScore W2798779872C138885662 @default.
• W2798779872 hasConceptScore W2798779872C174084160 @default.
• W2798779872 hasConceptScore W2798779872C2780388253 @default.
• W2798779872 hasConceptScore W2798779872C37914503 @default.
• W2798779872 hasConceptScore W2798779872C41895202 @default.
• W2798779872 hasConceptScore W2798779872C42704618 @default.
• W2798779872 hasConceptScore W2798779872C62520636 @default.
• W2798779872 hasConceptScore W2798779872C7602139 @default.
• W2798779872 hasConceptScore W2798779872C97355855 @default.
• W2798779872 hasLocation W27987798721 @default.
• W2798779872 hasLocation W27987798722 @default.
• W2798779872 hasOpenAccess W2798779872 @default.
• W2798779872 hasPrimaryLocation W27987798721 @default.
• W2798779872 hasRelatedWork W1973409205 @default.
• W2798779872 hasRelatedWork W1977176746 @default.
• W2798779872 hasRelatedWork W1982934986 @default.
• W2798779872 hasRelatedWork W2092113601 @default.
• W2798779872 hasRelatedWork W2335724748 @default.
• W2798779872 hasRelatedWork W2340402441 @default.
• W2798779872 hasRelatedWork W2461708090 @default.
• W2798779872 hasRelatedWork W2950774455 @default.
• W2798779872 hasRelatedWork W2983206969 @default.
• W2798779872 hasRelatedWork W3099132055 @default.
• W2798779872 hasRelatedWork W3100458647 @default.
• W2798779872 hasRelatedWork W3103755539 @default.
• W2798779872 hasRelatedWork W3104533632 @default.
• W2798779872 hasRelatedWork W3104595819 @default.
• W2798779872 hasRelatedWork W3105097794 @default.
• W2798779872 hasRelatedWork W3214022838 @default.
• W2798779872 hasRelatedWork W90746517 @default.
• W2798779872 hasRelatedWork W2017360092 @default.
• W2798779872 hasRelatedWork W2182021369 @default.
• W2798779872 hasRelatedWork W3088335784 @default.
• W2798779872 isParatext "false" @default.
• W2798779872 isRetracted "false" @default.
• W2798779872 magId "2798779872" @default.

• next