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This paper explores detection capability for baryon acoustic oscillations (BAO) with a suite of 100 simulations introducing the main limitations from foreground contamination and poor angular resolution caused by the radio telescope beam. Such broad single-dish beam representing a serious challenge for BAO detection with H\u2009i intensity mapping, we investigate a multipole expansion approach as a means for mitigating such limitations. We also showcase the gains made from cross-correlating the H\u2009i intensity mapping data with an overlapping spectroscopic galaxy survey, aiming to test potential synergies between the SKA project and other future cosmological experiments at optical\/near-infrared wavelengths. For our ${\\sim}\\,4\\, 000\\,\\mathrm{deg}^2$ data set at $z\\, {=}\\, 0.9$, replicating the essential features of an SKAO H\u2009i intensity mapping survey, we were able to achieve a ${\\sim }\\, 4.5\\sigma$ detection of BAO features in auto-correlation despite the dominant beam effect. Cross-correlation with an overlapping galaxy survey can increase this to a ${\\sim }\\, 6\\sigma$ detection. Furthermore, including the power spectrum quadrupole besides the monopole in a joint fit can approximately double the BAO detection significance. Despite not implementing a radial-only P(k\u2225) analysis in favour of the three-dimensional $P(\\boldsymbol {k})$ and its multipoles, we were still able to obtain robust constraints on the radial Alcock\u2013Paczynski parameter, whereas the perpendicular parameter remains unconstrained and prior dominated due to beam effects.<\/jats:p>","DOI":"10.1093\/mnras\/stac2484","type":"journal-article","created":{"date-parts":[[2022,9,6]],"date-time":"2022-09-06T15:31:37Z","timestamp":1662478297000},"page":"5454-5470","source":"Crossref","is-referenced-by-count":5,"title":["Baryon acoustic oscillations from H\u2009<scp>i<\/scp> intensity mapping: The importance of cross-correlations in the monopole and quadrupole"],"prefix":"10.1093","volume":"516","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3454-3807","authenticated-orcid":false,"given":"Andrea","family":"Rubiola","sequence":"first","affiliation":[{"name":"Dipartimento di Fisica, Universit\u00e0 degli Studi di Torino , via P. 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