A identidade da matéria escura, que compaµe 85% da matéria do universo, éuma das grandes questões sem resposta da física de partículas
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)
Domanio paºblico
Cientistas da Universidade de Durham e do Kings College London apresentaram uma revisão tea³rica em um novo estudo que apoia fortemente a busca por matéria escura axion.
A identidade da matéria escura, que compaµe 85% da matéria do universo, éuma das grandes questões sem resposta da física de partículas
Os cientistas sabem de sua existaªncia por causa de seus efeitos de atração gravitacional em estrelas e gala¡xias, mas que tipo de partacula anã, ainda permanece um mistanãrio.
Os pesquisadores analisaram como os a¡xions podem ser descritos matematicamente e apresentaram como eles se relacionam com as simetrias fundamentais do Modelo Padra£o da física departículas .
O a¡xion explica por que a interação forte osa força que une quarks em pra³tons e naªutrons osobedece a simetria de reversão do tempo. Isso significa que, nonívelsubata´mico , os processos causados ​​pela interação forte teriam a mesma aparaªncia se a direção do tempo fosse invertida.
Por que a interação forte obedece a simetria de reversão do tempo ainda édesconhecida. O a¡xion éuma solução popular para este mistanãrio.
A matéria escura axion se comporta mais como um campo cobrindo o universo do que comopartículas individuais. No universo primitivo , o valor do campo axion comea§a a oscilar para frente e para trás. A energia armazenada nessas oscilações éa matéria escura axion.
Sabe-se que a matéria escura de qualquer tipo são pode interagir muito fracamente com a luz, ou então já teria sido vista pelos cientistas. A matéria escura do Axion interage muito fracamente com a luz, mas ao observar atentamente as observações do telesca³pio, os pesquisadores podem ver sinais dessa interação.
Por exemplo, um fa³ton (uma partacula de luz) viajando atravanãs de um campo magnético teria uma pequena probabilidade de se transformar em um a¡xion. Este processo causaria caracteristicas incomuns em observações de gala¡xias brilhando atravanãs de campos magnanãticos.
A análise completa do estudo foi publicada na Science Advances . Um artigo de revisão complementar — "Axion Dark Matter: Como ver isso?" por Yannis Semertzidis e SungWoo Youn - mostra como o a¡xion pode ser detectado no laboratório em breve.
A coautora do estudo, Dra. Francesca Chadha-Day, disse: "a‰ um momento muito emocionante para ser um fasico de a¡xion. Ninguanãm ainda sabe a identidade da matéria escura . Ao procurar diferentes possibilidades, como o a¡xion, esperamos um dia resolver este mistanãrio."
Os pesquisadores esperam que esta revisão aumente o interesse e a compreensão da física dos a¡xions dentro da comunidade mais ampla de fasicos e cientistas.