Nilsson orbits for a particle in a woods-Saxon potential with Y02 and Y04 deformations, and coupled to core rotational states
✍ Scribed by B. Hird
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 635 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0010-4655
No coin nor oath required. For personal study only.
✦ Synopsis
Title of Program: NILSSON ORBITS parts. The rotational excitations of the core are added to the particle states together with all the rotation-particle (RCP) Catalogue number: ABOV Coriolis terms to generate the band mixed collective excited Program obtainable ftvm: CPC Program Libr~,Qu~n's unistate spectrum of a deformed odd A nucleus. versity of Belfast, N. Ireland, (see application form in this issue). Method of solution Computer: IBM 360/65; Thstallation: University of Ottawa,
The hamiltonian is diagonalised in three successive steps. OTTAWA, KIN 6N5, Canada
The spherically symmetric part is first diagonalired in a
Operating system: HASP harmonic oscillator basis, using numerically integrated radial matrix elements. The second diagonalization generates the Programming language used: Fortran IV deformed single particle states in a basis of the spherically High speed storage required: 22,000 Words symmetric eigenstates of the first diagonalization, and, fmally, No. of bits in a word: 32 the core and RCP terms are diagonalized in a basis of the deformed states. A reduction in the size of each of the matrices Overlay structure: None to be diagonalized and the total number of diagonalizations No. of magnetic tapes required: None results from separating the problem in this way.
Other peripherals used: Card reader, line printer, card punch
Restrictions on the complexity of the problem No. of curds in combined program and test deck~881
The maximum radial quantum number of the harmonic Cardpunching code: EBCDIC oscillator basis and hence of any of the other basis states is restricted to 13 for odd parity, and to 12 for even parity CPC Library subprograms used:
systems. Deformations are restricted to Y~and Yshapes. Catalogue number: ABMA;
The Woods-Saxon basis which is used hi the deformed state Title: GEOMETRICAL COEFFICIENT; ~iagona1izationis truncated to include only eigenstates with Ref. in CPC: 1 (1970) 337 energies below +10 MeV. The above restrictions are fairly easy to relax by small changes in the programme. There is no Keywords: Nuclear, Schroedinger equation, Woods-Saxon, provision for triaxial deformations, or for vibrational degrees deformation, hexadecapole, energies, expansion coefficient, of freedom. Nilsson
Nature of the problem
Typical running times The eigenvalues and expansion coefficients ofa single nucleon
The radial integrals, which only need to be calculated once in an axially symmetric potential are obtained for any quad-for a given Woods-Saxon potential take 160 sec of CPU time rupole and hexadecapole deformations. The central part ofthe with NMAX = 12 or 13. The three diagonalizations, using, for potential is assumed to have a Woods-Saxon shape, with the example, all the states of the is, 2s-ld and ig-2d-3s shells derivative of this shape for the spin-orbit and the deformed takes a further 45 sec.