Core momentum distribution in two-neutron halo nuclei

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• 作者：L.A. Souza^a ; F.F. Bellotti^a ; ^b ; M.T. Yamashita^c ; T. Frederico^a ; ^{tobias@ita.br" class="auth_mail" title="E-mail the corresponding author} ; Lauro Tomio^c ; ^d ; ^a
• 关键词：Binding energies ; Halo-nuclei ; Three-body system ; Carbon-22 ; Faddeev equation
• 刊名：Physics Letters B
• 出版年：2016
• 出版时间：10 June 2016
• 年：2016
• 卷：757
• 期：Complete
• 页码：368-375
• 全文大小：544 K

文摘

The core momentum distribution of a weakly-bound neutron–neutron–core exotic nucleus is computed within a renormalized zero-range three-body model, with interactions in the s-wave channel. The halo wave-function in momentum space is obtained by using as inputs the two-body scattering lengths and the two-neutron separation energy. The core momentum densities are computed for ¹¹Li, ¹⁴Be ²⁰C and ²²C. The model describes the experimental data for ¹¹Li, ¹⁴Be and to some extent ²⁰C. The recoil momentum distribution of the ²⁰C from the breakup of ²²C nucleus is computed for different two-neutron separation energies, and from the comparison with recent experimental data the two-neutron separation energy is estimated in the range mmlsi1" class="mathmlsrc">mulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316300685&_mathId=si1.gif&_user=111111111&_pii=S0370269316300685&_rdoc=1&_issn=03702693&md5=30a161dc416ec8c555fbf4819af2fdc7" title="Click to view the MathML source">100≲S_2n≲400 keVmathContainer hidden">mathCode"><math altimg="si1.gif" overflow="scroll"><mn>100mn><mo>≲mo><msub><mrow><mi>Smi>mrow><mrow><mn>2mn><mi>nmi>mrow>msub><mo>≲mo><mn>400mn><mtext> mtext><mtext>keVmtext>math>. The recoil momentum distribution depends weakly on the neutron-²⁰C scattering length, while the matter radius is strongly sensitive to it. The expected universality of the momentum distribution width is verified by also considering excited states for the system.