{"id":"https://openalex.org/W2052215643","doi":"https://doi.org/10.1590/s0103-97332007000400035","title":"From integral to derivative dispersion relations","display_name":"From integral to derivative dispersion relations","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2052215643","doi":"https://doi.org/10.1590/s0103-97332007000400035","mag":"2052215643"},"language":"en","primary_location":{"id":"doi:10.1590/s0103-97332007000400035","doi":"https://doi.org/10.1590/s0103-97332007000400035","is_oa":true,"landing_page_url":"https://doi.org/10.1590/s0103-97332007000400035","pdf_url":"https://www.scielo.br/j/bjp/a/HCTZztyp7F6pQFZsMZYMvPz/?lang=en&format=pdf","source":{"id":"https://openalex.org/S139987866","display_name":"Brazilian Journal of Physics","issn_l":"0103-9733","issn":["0103-9733","1678-4448"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Brazilian Journal of Physics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.scielo.br/j/bjp/a/HCTZztyp7F6pQFZsMZYMvPz/?lang=en&format=pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046080240","display_name":"R. F. \u00c1vila","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"R. F. \u00c1vila","raw_affiliation_strings":["Instituto de Matem\u00e1tica , Estat\u00edstica e Computac \u00b8\u00e3o Cient\u00edfica Universidade Estadual de Campinas , UNICAMP 13083-970 Campinas , SP , Brazil","Universidade Estadual De Campinas, Campinas, Brazil;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica , Estat\u00edstica e Computac \u00b8\u00e3o Cient\u00edfica Universidade Estadual de Campinas , UNICAMP 13083-970 Campinas , SP , Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Universidade Estadual De Campinas, Campinas, Brazil;","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084596806","display_name":"M. J. Menon","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"M. J. Menon","raw_affiliation_strings":["Instituto de F\u00edsica Gleb Wataghin Universidade Estadual de Campinas , UNICAMP 13083-970 Campinas , SP , Brazil","Universidade Estadual De Campinas, Campinas, Brazil;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de F\u00edsica Gleb Wataghin Universidade Estadual de Campinas , UNICAMP 13083-970 Campinas , SP , Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Universidade Estadual De Campinas, Campinas, Brazil;","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I181391015"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":{"value":3290,"currency":"USD","value_usd":3290},"fwci":0.2335,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.66184513,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"37","issue":"2b","first_page":"661","last_page":"664"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.6015999913215637,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.6015999913215637,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.3666999936103821,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10093","display_name":"Nuclear physics research studies","score":0.01119999960064888,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/total-cross-section","display_name":"total cross section","score":0.6959999799728394},{"id":"https://openalex.org/keywords/proton-proton-scattering","display_name":"proton-proton scattering","score":0.949999988079071},{"id":"https://openalex.org/keywords/proton-antiproton-scattering","display_name":"antiproton-proton scattering","score":0.9980000257492065}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9475297927856445},{"id":"https://openalex.org/C202579712","wikidata":"https://www.wikidata.org/wiki/Q590051","display_name":"Dispersion relation","level":2,"score":0.7957673668861389},{"id":"https://openalex.org/C2776103971","wikidata":"https://www.wikidata.org/wiki/Q1126045","display_name":"Pomeron","level":3,"score":0.7799983024597168},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.6363164782524109},{"id":"https://openalex.org/C54516573","wikidata":"https://www.wikidata.org/wiki/Q2294","display_name":"Proton","level":2,"score":0.6029238104820251},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.6027119159698486},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.5690024495124817},{"id":"https://openalex.org/C153013531","wikidata":"https://www.wikidata.org/wiki/Q1322810","display_name":"Scattering amplitude","level":3,"score":0.5570559501647949},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.5167795419692993},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.49939560890197754},{"id":"https://openalex.org/C203918408","wikidata":"https://www.wikidata.org/wiki/Q107575","display_name":"Antiproton","level":3,"score":0.49366435408592224},{"id":"https://openalex.org/C54644633","wikidata":"https://www.wikidata.org/wiki/Q5473287","display_name":"Forward scatter","level":3,"score":0.4692893922328949},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.322992742061615},{"id":"https://openalex.org/C185544564","wikidata":"https://www.wikidata.org/wiki/Q81197","display_name":"Nuclear physics","level":1,"score":0.2663222551345825},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.23604249954223633},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1590/s0103-97332007000400035","doi":"https://doi.org/10.1590/s0103-97332007000400035","is_oa":true,"landing_page_url":"https://doi.org/10.1590/s0103-97332007000400035","pdf_url":"https://www.scielo.br/j/bjp/a/HCTZztyp7F6pQFZsMZYMvPz/?lang=en&format=pdf","source":{"id":"https://openalex.org/S139987866","display_name":"Brazilian Journal of Physics","issn_l":"0103-9733","issn":["0103-9733","1678-4448"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Brazilian Journal of Physics","raw_type":"journal-article"},{"id":"pmh:oai:repositorio.unicamp.br:REPOSIP/25733","doi":null,"is_oa":true,"landing_page_url":"http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/25733","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SciELO","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:scielo:S0103-97332007000400035","doi":null,"is_oa":true,"landing_page_url":"http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000400035","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Brazilian Journal of Physics v.37 n.2b 2007","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:hep-ph/0601194","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/hep-ph/0601194","pdf_url":"https://arxiv.org/pdf/hep-ph/0601194","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:americanae.aecid.es:2622520","doi":null,"is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=2622520","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Brazilian Journal of Physics v.37 n.2b 2007","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:americanae.aecid.es:3226875","doi":null,"is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3226875","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SciELO","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:cds.cern.ch:923996","doi":null,"is_oa":false,"landing_page_url":"http://cds.cern.ch/record/923996","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:https://www.repositorio.unicamp.br/:1219036","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/20.500.12733/1666386","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio da Produ\u00e7\u00e3o Cient\u00edfica e Intelectual da Unicamp","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:redalyc.org:46437435","doi":null,"is_oa":false,"landing_page_url":"https://www.redalyc.org/articulo.oa?id=46437435","pdf_url":null,"source":{"id":"https://openalex.org/S4377196100","display_name":"Redalyc (Universidad Aut\u00f3noma del Estado de M\u00e9xico)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I179647637","host_organization_name":"Universidad Aut\u00f3noma del Estado de M\u00e9xico","host_organization_lineage":["https://openalex.org/I179647637"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Brazilian Journal of Physics (Brasil) Num.2B Vol.37","raw_type":"art\u00edculo cient\u00edfico"}],"best_oa_location":{"id":"doi:10.1590/s0103-97332007000400035","doi":"https://doi.org/10.1590/s0103-97332007000400035","is_oa":true,"landing_page_url":"https://doi.org/10.1590/s0103-97332007000400035","pdf_url":"https://www.scielo.br/j/bjp/a/HCTZztyp7F6pQFZsMZYMvPz/?lang=en&format=pdf","source":{"id":"https://openalex.org/S139987866","display_name":"Brazilian Journal of Physics","issn_l":"0103-9733","issn":["0103-9733","1678-4448"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Brazilian Journal of Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.6700000166893005}],"study_designs":[],"awards":[{"id":"https://openalex.org/G6083034206","display_name":"Study of high energy hadronic interactions","funder_award_id":"04/10619-9","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"}],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2052215643.pdf","grobid_xml":"https://content.openalex.org/works/W2052215643.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W2300804501"],"related_works":["https://openalex.org/W40401000","https://openalex.org/W1974800372","https://openalex.org/W1980255967","https://openalex.org/W2176751641","https://openalex.org/W2753646713","https://openalex.org/W2123433955","https://openalex.org/W1990804642","https://openalex.org/W2093146255","https://openalex.org/W105730666","https://openalex.org/W51606191"],"abstract_inverted_index":{"We":[0,21],"demonstrate":[1],"that":[2],"integral":[3],"dispersion":[4],"relations":[5,41],"for":[6,25,49],"hadron-hadron":[7],"scattering":[8],"amplitudes":[9],"can":[10],"be":[11],"replaced":[12],"by":[13],"differential":[14],"relations,":[15],"without":[16],"the":[17,26,30,36,39,43],"usual":[18],"high-energy":[19],"approximation.":[20],"obtain":[22],"analytical":[23,47],"expressions":[24],"corrections":[27],"associated":[28],"with":[29],"low":[31],"energy":[32],"region":[33],"and":[34,51],"exemplify":[35],"applicability":[37],"of":[38,45],"novel":[40],"in":[42],"context":[44],"an":[46],"parametrization":[48],"proton-proton":[50],"antiproton-proton":[52],"total":[53],"cross":[54],"sections.":[55]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-27T14:10:00.468798","created_date":"2016-06-24T00:00:00"}