کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1853158 1528824 2014 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A convenient implementation of the overlap between arbitrary Hartree–Fock–Bogoliubov vacua for projection
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک هسته ای و انرژی بالا
پیش نمایش صفحه اول مقاله
A convenient implementation of the overlap between arbitrary Hartree–Fock–Bogoliubov vacua for projection
چکیده انگلیسی

Overlap between Hartree–Fock–Bogoliubov (HFB) vacua is very important in the beyond mean-field calculations. However, in the HFB transformation, the U,VU,V matrices are sometimes singular due to the exact emptiness (vi=0vi=0) or full occupation (ui=0ui=0) of some single-particle orbits. This singularity may cause some problem in evaluating the overlap between HFB vacua through Pfaffian. We found that this problem can be well avoided by setting those zero occupation numbers uiui, vivi to some tiny values denoted by ε(>0), which numerically satisfies 1+ε2=11+ε2=1 (e.g., ε=10−8ε=10−8 when using the double precision data type). This treatment does not change the HFB vacuum state because ui2,vi2=ε2 are numerically zero relative to 1. Therefore, for arbitrary HFB transformation, we say that the U, V matrices can always be nonsingular. From this standpoint, we present a new convenient Pfaffian formula for the overlap between arbitrary HFB vacua, which is especially suitable for symmetry restoration. Testing calculations have been performed for this new formula. It turns out that our method is reliable and accurate in evaluating the overlap between arbitrary HFB vacua.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters B - Volume 732, 1 May 2014, Pages 360–363
نویسندگان
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