Os fasicos preveem que as estrelas de naªutrons podem ser maiores do que se imaginava
Quando uma estrela massiva morre, primeiro ocorre uma explosão de supernova. Então, o que sobrou se torna um buraco negro ou uma estrela de naªutrons.
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)
Uma imagem composta da supernova 1E0102.2-7219 contanãm raios-X do Chandra (azul e roxo), dados de luz visível do instrumento MUSE do VLT (vermelho brilhante) e dados adicionais do Hubble (vermelho escuro e verde). Uma estrela de naªutrons, o núcleo ultradenso de uma estrela massiva que entra em colapso e sofre uma explosão de supernova, éencontrada em seu centro. Crédito: NASA
Quando uma estrela massiva morre, primeiro ocorre uma explosão de supernova. Então, o que sobrou se torna um buraco negro ou uma estrela de naªutrons.
Essa estrela de naªutrons éo corpo celeste mais denso que os astrônomos podem observar, com uma massa cerca de 1,4 vezes o tamanho do sol. No entanto, ainda pouco se sabe sobre esses objetos impressionantes. Agora, um pesquisador da Florida State University publicou um artigo na Physical Review Letters argumentando que novas medições relacionadas a pele de naªutrons de um núcleo de chumbo podem exigir que os cientistas repensem as teorias sobre o tamanho total das estrelas de naªutrons .
Em suma, as estrelas de naªutrons podem ser maiores do que os cientistas previram anteriormente.
"A dimensão dessa pele, como ela se estende ainda mais, éalgo que se correlaciona com o tamanho da estrela de naªutrons", disse Jorge Piekarewicz, um professor de física Robert O. Lawton.
Piekarewicz e seus colegas calcularam que uma nova medição da espessura da pele de naªutrons do chumbo implica um raio entre 13,25 e 14,25 quila´metros para uma estrela de naªutrons média. Com base em experimentos anteriores com a pele de naªutrons, outras teorias colocam o tamanho manãdio das estrelas de naªutrons em cerca de 10 a 12 quila´metros.
O trabalho de Piekarewicz complementa um estudo , também publicado na Physical Review Letters , por fasicos com o Lead Radius Experiment (PREX) no Thomas Jefferson National Accelerator Facility. A equipe PREX conduziu experimentos que lhes permitiram medir a espessura da pele de naªutrons de um núcleo de chumbo em 0,28 femta´metros - ou 0,28 trilionanãsimos de milametro.
Um núcleo ata´mico consiste em naªutrons e pra³tons. Se os naªutrons superam os pra³tons no núcleo, os naªutrons extras formam uma camada ao redor do centro do núcleo. Essa camada de naªutrons puros échamada de pele.
a‰ a espessura dessa pele que cativou os fasicos experimentais e teóricos, porque pode lana§ar luz sobre o tamanho geral e a estrutura de uma estrela de naªutrons. E embora o experimento tenha sido feito com chumbo, a física éaplica¡vel a estrelas de naªutrons - objetos que são um quintilha£o (ou trilha£o de milhões) de vezes maiores do que o núcleo ata´mico.
Piekarewicz usou os resultados relatados pela equipe PREX para calcular as novas medições gerais de estrelas de naªutrons.
"Nãoháexperimento que possamos realizar em laboratório que possa sondar a estrutura da estrela de naªutrons", disse Piekarewicz. "Uma estrela de naªutrons éum objeto tão exa³tico que não fomos capazes de recria¡-lo no laboratório. Portanto, qualquer coisa que possa ser feita no laboratório para restringir ou nos informar sobre as propriedades de uma estrela de naªutrons émuito útil."
Os novos resultados da equipe PREX foram maiores do que os experimentos anteriores, o que obviamente afeta a teoria geral e os ca¡lculos relacionados a s estrelas de naªutrons . Piekarewicz disse que ainda hámais trabalho a ser feito sobre o assunto e novos avanços na tecnologia estãoconstantemente aumentando a compreensão dos cientistas sobre o Espaço.
"Esta¡ empurrando as fronteiras do conhecimento", disse ele. "Todos nosqueremos saber de onde viemos, do que o universo éfeito e qual éo destino final do universo."