An exactly solvable spherical mean-field plus extended monopole pairing model

详细信息    查看全文

• 作者：Feng Pan^a ; ^b ; ^{daipan@dlut.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Xiaoxue Ding^a ; Kristina D. Launey^b ; Hui Li^a ; Xinxin Xu^a ; Jerry P. Draayer^b
• 关键词：Extended monopole pairing ; Exactly solvable model ; Ground state properties
• 刊名：Nuclear Physics A
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：947
• 期：Complete
• 页码：234-247
• 全文大小：698 K

文摘

An extended pairing Hamiltonian that describes pairing interactions among monopole nucleon pairs up to an infinite order in a spherical mean field, such as the spherical shell model, is proposed based on the local mmlsi1" class="mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947416000051&_mathId=si1.gif&_user=111111111&_pii=S0375947416000051&_rdoc=1&_issn=03759474&md5=f7d6851cd07db78f789bf398bae03e2e">mg class="imgLazyJSB inlineImage" height="16" width="19" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0375947416000051-si1.gif">mathContainer hidden">mathCode"><math altimg="si1.gif" overflow="scroll"><msub><mrow><mover accent="true"><mrow><mi>Emi>mrow><mrow><mo stretchy="false">˜mo>mrow>mover>mrow><mrow><mn>2mn>mrow>msub>math> algebraic structure, which includes the extended pairing interaction within a deformed mean-field theory (Pan et al., 2004) [19] as a special case. The advantage of the model lies in the fact that numerical solutions of the model can be obtained more easily and with less computational time than the solutions to the standard pairing model. Thus, open-shell large-scale calculations within the model become feasible. As an example of the application, pairing contribution to the binding energy of ^12–28O is estimated in the present model with neutron pairs allowed to occupy a no-core shell model space of 11 m>j  m>-orbits up to the fifth major harmonic oscillator shell including excitations up to mmlsi2" class="mathmlsrc">mulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947416000051&_mathId=si2.gif&_user=111111111&_pii=S0375947416000051&_rdoc=1&_issn=03759474&md5=f68c2e69d712dff4369904fc95e44379" title="Click to view the MathML source">14ħωmathContainer hidden">mathCode"><math altimg="si2.gif" overflow="scroll"><mn>14mn><mi>ħmi><mi>ωmi>math> for ¹²O and up to mmlsi3" class="mathmlsrc">mulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947416000051&_mathId=si3.gif&_user=111111111&_pii=S0375947416000051&_rdoc=1&_issn=03759474&md5=1386aa1ebf5eaeac40c2fca84ec9d926" title="Click to view the MathML source">40ħωmathContainer hidden">mathCode"><math altimg="si3.gif" overflow="scroll"><mn>40mn><mi>ħmi><mi>ωmi>math> for ²⁸O. The results for ¹²O are also compared and found to be in agreement with those of m>ab initiom> calculations. It is shown that the pairing energy per particle in ^12–28O ranges from 0.4 to 1.8 MeV/m>Am> with the strongest one observed for a small number of pairs.