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.
2007
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]
File in questo prodotto:
File Dimensione Formato  
Exact.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: Accesso privato/ristretto
Dimensione 259.06 kB
Formato Adobe PDF
259.06 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/303544
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact