Expansion of one-, two- and three-body matrix elements on a generic spherical basis for nuclear ab initio calculations

التفاصيل البيبلوغرافية
العنوان: Expansion of one-, two- and three-body matrix elements on a generic spherical basis for nuclear ab initio calculations
المؤلفون: Scalesi, Alberto, Barbieri, Carlo, Vigezzi, Enrico
سنة النشر: 2023
المجموعة: Mathematics
Mathematical Physics
Nuclear Theory
Quantum Physics
مصطلحات موضوعية: Nuclear Theory, Mathematical Physics, Quantum Physics
الوصف: Ab initio studies of atomic nuclei are based on Hamiltonians including one-, two- and three-body operators with very complicated structures. Traditionally, matrix elements of such operators are expanded on a Harmonic Oscillator single-particle basis, which allows for a simple separation of the center-of-mass motion from the intrinsic one. A few recent investigations have showed that the use of different single-particle bases can bring significant advantages to numerical nuclear structure computations. In this work, the complete analytical expression of the Hamiltonian matrix elements expanded on a generic spherical basis is presented for the first time. This will allow systematic studies aimed at the determination of optimal nuclear bases.
Comment: 42 pages, 1 figure
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2310.19547
رقم الأكسشن: edsarx.2310.19547
قاعدة البيانات: arXiv