Study of rotational splittings in δ Scuti stars using pattern finding techniques
ARB, JPG, and RG acknowledge funding support from Spanish public funds for research from project ESP2017-87676-C5-5-R from the `Plan Estatal de Investigacion Cientifica y Tecnica y de Innovacion', from project PID2019-107061GB-C63 from the `Programas Estatales de Generacion de Conocimiento y Fortalecimiento Cientifico y Tecnologico del Sistema de I+D+i y de I+D + i Orientada a los Retos de la Sociedad', and from the State Agency for Research through the `Center of Excellence Severo Ochoa' award to the Instituto de Astrofisica de Andalucia (SEV-2017-0709), all from the Spanish Ministry of Science, Innovation and Universities. ARB also acknowledges funding support from project PRE2018084322 from the `Programa Estatal de Promocion del Talento y su Empleabilidad del Plan Estatal de Investigacion Cientifica y Tecnica y de Innovacion 2013-2016' of the Spanish Ministry of Science, Innovation and Universities. AGHacknowledges funding support from Spanish public funds for research under projects ESP2017-87676-2-2 the SpanishMinistry of Science and Education, and from `European Regional Development Fund/Junta de Andalucia-Consejeria de Economia y Conocimiento' under project E-FQM-041-UGR18 by Universidad de Granada. JCS acknowledges funding support from Spanish public funds for research under projects PID2019-107061GB-C63 and ESP201787676-2-2, and from project RYC-2012-09913 under the `Ramon y Cajal' program of the Spanish Ministry of Science and Education. ; Detecting and understanding rotation in stellar interiors is nowadays one of the unsolved problems in stellar physics. Asteroseismology has been able to provide insights on rotation for the Sun, solar-like stars, and compact objects like white dwarfs. However, this is still very difficult for intermediate-mass stars. These stars are moderate-to-rapid rotators. Rotation splits and shifts the oscillation modes, which makes the oscillation spectrum more complex and harder to interpret. Here we study the oscillation patterns of a sample of benchmark delta Sct stars belonging to eclipsing binary systems with the objective of finding the frequency spacing related to the rotational splitting (delta r). For this task, we combine three techniques: the Fourier transform, the autocorrelation function, and the histogram of frequency differences. The last two showed a similar behaviour. For most of the stars, it was necessary to determine the large separation (Delta nu) prior to spot delta r. This is the first time we may clearly state that one of the periodicities present in the p modes oscillation spectra of delta Sct stars corresponds to the rotational splitting. This is true independent of the stellar rotation rate. These promising results pave the way to finding a robust methodology to determine rotational splittings from the oscillation spectra of delta Sct stars and, thus, understanding the rotational profile of intermediate-mass pulsating stars. ; Plan Estatal de Investigacion Cientifica y Tecnica y de Innovacion ESP2017-87676-C5-5-R ; Programas Estatales de Generacion de Conocimiento y Fortalecimiento Cientifico y Tecnologico del Sistema de I+D+i y de I+D + i Orientada a los Retos de la Sociedad PID2019-107061GB-C63 ; State Agency for Research through the `Center of Excellence Severo Ochoa' SEV-2017-0709 ; Spanish Ministry of Science, Innovation and Universities ; Programa Estatal de Promocion del Talento y su Empleabilidad del Plan Estatal de Investigacion Cientifica y Tecnica y de Innovacion 2013-2016' of the Spanish Ministry of Science, Innovation and Universities PRE2018084322 ; Spanish Government ESP2017-87676-2-2 ; European Regional Development Fund/Junta de Andalucia-Consejeria de Economia y Conocimientoby Universidad de Granada E-FQM-041-UGR18 ; Spanish public funds for research PID2019-107061GB-C63 ESP201787676-2-2 ; Spanish Government RYC-2012-09913
