{"id":"https://openalex.org/W7225610295","doi":"https://doi.org/10.5281/zenodo.24085268","title":"The Angular Factor Between the Scalar and Vector Pairing Channels of a Single Contact Interaction","display_name":"The Angular Factor Between the Scalar and Vector Pairing Channels of a Single Contact Interaction","publication_year":2026,"publication_date":"2026-11-09","ids":{"openalex":"https://openalex.org/W7225610295","doi":"https://doi.org/10.5281/zenodo.24085268"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24085268","doi":"https://doi.org/10.5281/zenodo.24085268","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24085268","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24085268","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5161337176","display_name":"T. Abram","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Abram, T.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5161337176"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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":0.32249999046325684,"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":0.32249999046325684,"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":0.30660000443458557,"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/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.1712999939918518,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/dirac-fermions","display_name":"Dirac fermions","score":0.7419999837875366},{"id":"https://openalex.org/keywords/attractive-contact-interaction","display_name":"attractive contact interaction","score":0.7239999771118164},{"id":"https://openalex.org/keywords/gap-equation","display_name":"gap equation","score":0.7789999842643738},{"id":"https://openalex.org/keywords/effective-coupling","display_name":"effective coupling","score":0.5879999995231628},{"id":"https://openalex.org/keywords/fermi-surface","display_name":"Fermi surface","score":0.5659999847412109},{"id":"https://openalex.org/keywords/monte-carlo-simulation","display_name":"Monte Carlo simulation","score":0.4230000078678131}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6916000247001648},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6467999815940857},{"id":"https://openalex.org/C54937798","wikidata":"https://www.wikidata.org/wiki/Q2024141","display_name":"Massless particle","level":2,"score":0.5595999956130981},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5117999911308289},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4551999866962433},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.39590001106262207},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.37439998984336853},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.36340001225471497},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3614000082015991},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.3513999879360199},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.3377000093460083},{"id":"https://openalex.org/C2027888","wikidata":"https://www.wikidata.org/wiki/Q521126","display_name":"Vector potential","level":3,"score":0.30809998512268066},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.2842000126838684},{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.27810001373291016},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.27059999108314514},{"id":"https://openalex.org/C183276030","wikidata":"https://www.wikidata.org/wiki/Q1193095","display_name":"Coupling constant","level":2,"score":0.2567000091075897}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.5281/zenodo.24085268","doi":"https://doi.org/10.5281/zenodo.24085268","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24085268","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24085269","doi":"https://doi.org/10.5281/zenodo.24085269","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24085269","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24089125","doi":"https://doi.org/10.5281/zenodo.24089125","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24089125","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24085268","doi":"https://doi.org/10.5281/zenodo.24085268","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24085268","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7168492249","https://openalex.org/W6885160692","https://openalex.org/W2411713641","https://openalex.org/W2999408138","https://openalex.org/W2056501811","https://openalex.org/W2338012154","https://openalex.org/W2024584234","https://openalex.org/W2060355991","https://openalex.org/W93085617","https://openalex.org/W4414346500"],"abstract_inverted_index":{"A":[0],"single":[1],"attractive":[2],"contact":[3],"interaction":[4,203],"for":[5],"a":[6,13,17,75,83,173,179,194,224,244],"massless":[7],"Dirac":[8],"fermion":[9],"pairs":[10],"in":[11,238],"both":[12],"scalar":[14,46,161,165],"(0+)":[15],"and":[16,21,52,98,124,146,178,221,232,243,251],"vector":[18,39,105,153],"(1-)":[19],"channel,":[20,166],"its":[22,115],"Fierz":[23,209],"decomposition":[24],"assigns":[25],"the":[26,29,38,45,49,59,61,65,69,99,101,112,122,131,143,152,160,169,184,197,202,212,218,229,233,239,247],"two":[27,70],"channels":[28],"same":[30,170],"coefficient.":[31],"It":[32],"is":[33,108,120,127,139,157,193,206],"therefore":[34,140],"tempting":[35],"to":[36,111],"write":[37],"channel's":[40,132,154,162],"gap":[41],"equation":[42],"by":[43,168],"transplanting":[44],"one,":[47],"with":[48,246],"coupling":[50,156],"relabelled":[51],"nothing":[53],"else":[54],"changed.":[55],"This":[56],"note":[57,219],"computes":[58],"quantity":[60],"transplant":[62],"assumes":[63],"away:":[64],"ratio":[66],"F":[67,86,91,147,188],"of":[68,159,183,196,201,211],"channels'":[71],"pair":[72,106,119,198],"susceptibilities":[73],"at":[74],"common":[76],"Fermi":[77],"surface.":[78],"Three":[79],"values":[80],"suggest":[81],"themselves":[82],"priori":[84],"\u2014":[85],"=":[87,92,148,189],"1":[88,176],"(the":[89,94],"transplant),":[90],"1/3":[93],"longitudinal":[95],"angular":[96],"average),":[97],"value":[100],"computation":[102],"gives.":[103],"The":[104,135,164,191],"wavefunction":[107],"everywhere":[109],"transverse":[110],"relative":[113],"momentum,":[114],"total":[116],"weight":[117,126],"per":[118,137],"twice":[121],"scalar's,":[123],"that":[125,227],"distributed":[128],"equally":[129],"over":[130],"three":[133],"components.":[134],"susceptibility":[136,185],"component":[138],"4/3":[141],"against":[142],"scalar's":[144],"2,":[145],"2/3":[149],"exactly,":[150],"so":[151],"effective":[155],"(2/3)":[158],"coupling.":[163],"computed":[167],"machinery":[171],"as":[172],"control,":[174],"returns":[175],"identically,":[177],"Monte":[180,234],"Carlo":[181,235],"evaluation":[182,236],"tensor":[186],"reproduces":[187],"0.666667.":[190],"factor":[192],"property":[195],"states,":[199],"not":[200],"vertex,":[204],"which":[205],"why":[207],"no":[208],"analysis":[210],"vertex":[213],"can":[214],"contain":[215],"it.":[216],"Files:":[217],"(PDF":[220],"LaTeX":[222],"source),":[223],"Python":[225],"script":[226],"reruns":[228],"overlap":[230],"checks":[231],"reported":[237],"note's":[240],"verification":[241,249],"table,":[242],"README":[245],"summary,":[248],"steps,":[250],"citation.":[252]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-10T00:00:00"}