{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T06:23:58Z","timestamp":1759991038892,"version":"3.41.2"},"reference-count":30,"publisher":"AIP Publishing","issue":"10","content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2011,10,1]]},"abstract":"<jats:p>The Gaudin model based on the sl2-invariant r-matrix with an extra Jordanian term depending on the spectral parameters is considered. The appropriate creation operators defining the Bethe states of the system are constructed through a recurrence relation. The commutation relations between the generating function t(\u03bb) of the integrals of motion and the creation operators are calculated and therefore the algebraic Bethe ansatz is fully implemented. The energy spectrum as well as the corresponding Bethe equations of the system coincide with the ones of the sl2-invariant Gaudin model. As opposed to the sl2-invariant case, the operator t(\u03bb) and the Gaudin Hamiltonians are not Hermitian. Finally, the inner products and norms of the Bethe states are studied.<\/jats:p>","DOI":"10.1063\/1.3644345","type":"journal-article","created":{"date-parts":[[2011,10,5]],"date-time":"2011-10-05T15:09:08Z","timestamp":1317827348000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":2,"title":["Algebraic Bethe ansatz for deformed Gaudin model"],"prefix":"10.1063","volume":"52","author":[{"given":"N. Cirilo","family":"Ant\u00f3nio","sequence":"first","affiliation":[{"name":"Instituto Superior T\u00e9cnico 1 Centro de An\u00e1lise Funcional e Aplica\u00e7\u00f5es, Departamento de Matem\u00e1tica, , Av. Rovisco Pais, 1049-001 Lisboa, Portugal"}]},{"given":"N.","family":"Manojlovi\u0107","sequence":"additional","affiliation":[{"name":"Grupo de F\u00edsica Matem\u00e1tica da Universidade de Lisboa 2 , Av. Prof. Gama Pinto 2, PT-1649-003 Lisboa, Portugal"},{"name":"Universidade do Algarve 3 Departamento de Matem\u00e1tica, F. C. T., , Campus de Gambelas, PT-8005-139 Faro, Portugal"}]},{"given":"A.","family":"Stolin","sequence":"additional","affiliation":[{"name":"University of G\u00f6teborg 4 Departament of Mathematical Sciences, , SE-412 96 G\u00f6teborg, Sweden"}]}],"member":"317","published-online":{"date-parts":[[2011,10,5]]},"reference":[{"key":"2023080407483734600_c1","doi-asserted-by":"publisher","first-page":"1087","DOI":"10.1051\/jphys:0197600370100108700","volume":"37","year":"1976","journal-title":"J. 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