J/A+A/678/A61ivo://CDS.VizieR/J/A+A/678/A61doi:10.26093/cds/vizier/bc-n6/lgbCDSPalicio P.A.Spitoni E.Recio-Blanco A.Matteucci F.Peirani S.,Greggio L.2026-07-01T14:01:04Z2023-10-06T07:38:15ZCDS support team

CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France

cds-question@unistra.frsupernovaeastronomical-modelsIn the last years, a significant number of works have focussed on finding analytic solutions for the chemical enrichment models of galactic systems, including the Milky Way. Some of these solutions, however, cannot account for the enrichment produced by Type Ia SNe due to the presence of the delay time distributions (DTDs) in the models. We present a new analytic solution for the chemical evolution model of the Galaxy. This solution can be used with different prescriptions of the DTD, including the single and double degenerate scenarios, and allows the inclusion of an arbitrary number of pristine gas infalls. We integrate the chemical evolution model by extending the instantaneous recycling approximation with the contribution of Type Ia SNe. This implies an extra term in the modelling that depends on the DTD. For those DTDs that lead to non-analytic integrals, we describe them as a superposition of Gaussian, exponential and 1/t functions using a restricted least-squares fitting method. We obtain the exact solution for a chemical model with Type Ia SNe widely used in previous works, avoiding numerical integration errors. This solution can reproduce the expected chemical evolution of the alpha and iron-peak elements in less computing time than numerical integration methods. We compare the pattern in the [Si/Fe] vs. [Fe/H] plane observed by APOGEE DR17 with that predicted by the model. We find the low alpha sequence can be explained by a delayed gas infall. We exploit the applicability of our solution by modelling the chemical evolution of a simulated Milky Way-like galaxy from its star formation history. The implementation of our solution is released as a Python package. Our solution constitutes a promising tool for the Galactic Archaeology and is able to model the observed trends in alpha element abundances versus [Fe/H] in the solar neighbourhood. We infer the chemical information of a simulated galaxy modelled without Chemistry.2023A&A...678A..61Phttps://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/678/A61CatalogResearchIsServedByTAP VizieR generic servicehttps://cds.unistra.fr/vizier-org/licences_vizier.htmlhttps://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/A+A/678/A61https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+A/678/A61http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+A/678/A61https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+A/678/A61https://vizier.iucaa.in/viz-bin/votable?-source=J/A+A/678/A61http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+A/678/A61GETtext/xml+votablehttps://tapvizier.cds.unistra.fr/TAPVizieR/tapdefaultJ/A+A/678/A61/table1Values of the parameters of the DTDs considered in this workDTDnameIdentifier of the DTD (1)meta.id;stat.fitcharrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintAG? Amplitude of the Gaussian termGyr**-1stat.fit.paramdoublenullabletaup? Offset of the Gaussian termGyrstat.fit.paramdoublenullablesigmap? Width of the Gaussian termGyrstat.fit.paramdoublenullabletau1G? Lower time limit of the Gaussian termGyrtime.scalefloatnullabletau2G? Upper time limit of the Gaussian termGyrtime.scalefloatnullableAE? Amplitude of the exponential termGyr**-1stat.fit.paramdoublenullabletauD? Characteristic timescale of the exponential termGyrphys.atmol.termdoublenullabletau1E? Lower time limit of the exponential termGyrtime.scalefloatnullabletau2E? Upper time limit of the exponential termGyrtime.scalefloatnullableAI? Amplitude of the inverse-of-time termGyr**-1stat.fit.paramdoublenullabletau0? Offset of the inverse-of-time termGyrstat.fit.paramfloatnullabletau1I? Lower time limit of the inverse-of-time termGyrstat.fit.paramfloatnullabletau2I? Upper time limit of the inverse-of-time termGyrstat.fit.paramfloatnullable