| Summary: | <b>Background:</b> The recent experimental discovery of drip-line nucleus <sup>39</sup>Na has attracted great interest in theoretical studies of exotic nuclear structures in this mass region. <b>Methods:</b> We solve the Skyrme–Hartree–Fock–Bogoliubov (Skyrme-HFB) equation within deformed coordinate-spaces. The present approach is suitable for descriptions of weakly bound deformed nuclei with continuum effects and deformed halo structures. <b>Results:</b> The systematical two-neutron separation energies are obtained with the SkM<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mrow></mrow><mrow><mi>ext</mi><mn>1</mn></mrow><mo>*</mo></msubsup></semantics></math></inline-formula> and UNEDF0<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mrow><mi>ext</mi><mn>1</mn></mrow></msub></semantics></math></inline-formula> forces for Na and Mg isotopes close to the neutron drip line. The density distributions show that <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>39</mn></msup></semantics></math></inline-formula>Na and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>42</mn></msup></semantics></math></inline-formula>Mg have deformed halo structures. Furthermore, there are significant influences of various pairing interactions on halo shapes at large distances. <b>Conclusions:</b> Both <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>39</mn></msup></semantics></math></inline-formula>Na and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>42</mn></msup></semantics></math></inline-formula>Mg are very weakly bound with well prolate deformed cores. However, their surface halo structures are dependent on the choices of pairing interactions. The volume-type pairing interaction tends to predict a prolate deformed halo, while the halo deformations at large distances are reduced by adopting the surface pairing. We demonstrate that <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>39</mn></msup></semantics></math></inline-formula>Na and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>42</mn></msup></semantics></math></inline-formula>Mg are promising candidates for two-neutron deformed halo nuclei.
|
|---|