We propose a method for solving exactly the nuclear eigenvalue problem within a multiphonon space constructed out of Tamm-Dancoff phonons. The method consists in deriving, within a given n-phonon subspace, a set of equations, of simple structure for any n, which are solved iteratively, starting from the particle-hole vacuum, to yield a set of states covering a multiphonon space up to an arbitrary number of phonons. The intrinsic redundancy of the set so generated is removed completely and exactly by a simple and efficient prescription. Such a multiphonon basis reduces the Hamiltonian into diagonal blocks plus residual off-diagonal terms of simple form. Its diagonalization becomes straightforward and yields exact eigensolutions. 16O is adopted as numerical test ground.
Exact formulation and solution of the nuclear eigenvalue problem in a microscopic multiphonon space / Andreozzi, Francesco; F., Knapp; LO IUDICE, Nicola; Porrino, Antonio. - In: PHYSICAL REVIEW. C, NUCLEAR PHYSICS. - ISSN 0556-2813. - STAMPA. - 75:(2007), pp. 44312-1-44312-3. [10.1103/PhysRevC.75.044312]
Exact formulation and solution of the nuclear eigenvalue problem in a microscopic multiphonon space
ANDREOZZI, FRANCESCO;LO IUDICE, NICOLA;PORRINO, ANTONIO
2007
Abstract
We propose a method for solving exactly the nuclear eigenvalue problem within a multiphonon space constructed out of Tamm-Dancoff phonons. The method consists in deriving, within a given n-phonon subspace, a set of equations, of simple structure for any n, which are solved iteratively, starting from the particle-hole vacuum, to yield a set of states covering a multiphonon space up to an arbitrary number of phonons. The intrinsic redundancy of the set so generated is removed completely and exactly by a simple and efficient prescription. Such a multiphonon basis reduces the Hamiltonian into diagonal blocks plus residual off-diagonal terms of simple form. Its diagonalization becomes straightforward and yields exact eigensolutions. 16O is adopted as numerical test ground.File | Dimensione | Formato | |
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