TY - JOUR

T1 - Exponential convergence method

T2 - Nonyrast states, occupation numbers, and a shell-model description of the superdeformed band in [Formula Presented]

AU - Horoi, Mihai

AU - Brown, B. Alex

AU - Zelevinsky, Vladimir

PY - 2003

Y1 - 2003

N2 - We suggested earlier that the energies of low-lying states in large shell-model spaces converge to their exact values exponentially as a function of the dimension in progressive truncation. An algorithm based on this exponential convergence method was proposed and successfully used for describing the ground state energies in the lowest [Formula Presented] nuclides from [Formula Presented] to [Formula Presented] using the [Formula Presented]-shell model and the FPD6 interaction. We extend this algorithm to describe nonyrast states, especially those that exhibit a large collectivity, such as the superdeformed band in [Formula Presented] We also show that a similar algorithm can be used to calculate expectation values of observables, such as single-particle occupation probabilities.

AB - We suggested earlier that the energies of low-lying states in large shell-model spaces converge to their exact values exponentially as a function of the dimension in progressive truncation. An algorithm based on this exponential convergence method was proposed and successfully used for describing the ground state energies in the lowest [Formula Presented] nuclides from [Formula Presented] to [Formula Presented] using the [Formula Presented]-shell model and the FPD6 interaction. We extend this algorithm to describe nonyrast states, especially those that exhibit a large collectivity, such as the superdeformed band in [Formula Presented] We also show that a similar algorithm can be used to calculate expectation values of observables, such as single-particle occupation probabilities.

UR - http://www.scopus.com/inward/record.url?scp=85035257624&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.67.034303

DO - 10.1103/PhysRevC.67.034303

M3 - Article

AN - SCOPUS:85035257624

SN - 0556-2813

VL - 67

SP - 7

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

IS - 3

ER -