Exact diagonalization of the Bohr Hamiltonian for rotational nuclei: Dynamical gamma softness and triaxiality - INSPIRE

DataBETA

Exact diagonalization of the Bohr Hamiltonian for rotational nuclei: Dynamical gamma softness and triaxiality

M.A. Caprio
(
- Notre Dame U.
)

May, 2011

17 pages

Published in:

Phys.Rev.C 83 (2011) 064309

e-Print:

1105.4297 [nucl-th]

DOI:

10.1103/PhysRevC.83.064309

View in:

reference search32 citations

Citations per year

Abstract: (arXiv)

Detailed quantitative predictions are obtained for phonon and multiphonon excitations in well-deformed rotor nuclei within the geometric framework, by exact numerical diagonalization of the Bohr Hamiltonian in an SO(5) basis. Dynamical gamma deformation is found to significantly influence the predictions through its coupling to the rotational motion. Basic signatures for the onset of rigid triaxial deformation are also obtained.

21.10.Re
21.60.Ev

References(44)

Figures(0)

Complete numerical solution of Bohr's collective Hamiltonian

- Nucl.Phys.A 92 (1967) 608-652,
- Nucl.Phys.A 99 (1967) 696-696 (erratum)
•
DOI:
- 10.1016/0375-9474(67)90383-1

A new treatment of the collective nuclear hamiltonian

- Phys.Lett.B 30 (1969) 397-399
•
DOI:
- 10.1016/0370-2693(69)90469-9

- Z.Phys.A 296 147

- Nucl.Phys. 70 33

Rotational states in even atomic nuclei

A. Davydov

- Nucl.Phys. 8 (1958) 237-249
•
DOI:
- 10.1016/0029-5582(58)90153-6

Analytic Description of Critical Point Nuclei in a Spherical-Axially Deformed Shape Phase Transition

F. Iachello
(
- Yale U.
)

- Phys.Rev.Lett. 87 (2001) 052502
•
DOI:
- 10.1103/PhysRevLett.87.052502

Phase Transitions in Angle Variables

F. Iachello
(
- Yale U.
)

- Phys.Rev.Lett. 91 (2003) 132502
•
DOI:
- 10.1103/PhysRevLett.91.132502

Exactly separable version of X(5) and related models

D. Bonatsos
(
- Democritos Nucl. Res. Ctr.
)
,
D. Lenis
(
- Democritos Nucl. Res. Ctr.
)
,
E.A. McCutchan
(
- Yale U.
)
,
D. Petrellis
(
- Democritos Nucl. Res. Ctr.
)
,
I. Yigitoglu
(
- Istanbul U.
)

- Phys.Lett.B 649 (2007) 394-399
•
e-Print:
- nucl-th/0612101
•
DOI:
- 10.1016/j.physletb.2006.12.080

Exactly separable version of the Bohr Hamiltonian with the Davidson potential

Dennis Bonatsos
(
- Democritos Nucl. Res. Ctr.
)
,
E.A. McCutchan
(
- Yale U.
)
,
N. Minkov
(
- Democritos Nucl. Res. Ctr. and
- Sofiya, Inst. Nucl. Res.
)
,
R.F. Casten
(
- Yale U.
)
,
P. Yotov
(
- Democritos Nucl. Res. Ctr. and
- Sofiya, Inst. Nucl. Res.
)

et al.

- Phys.Rev.C 76 (2007) 064312
•
e-Print:
- 0807.4447
•
DOI:
- 10.1103/PhysRevC.76.064312

Bohr model as an algebraic collective model

- Phys.Rev.C 79 (2009) 054304
•
DOI:
- 10.1103/PhysRevC.79.054304

A Computationally tractable version of the collective model

D.J. Rowe
(
- Toronto U.
)

- Nucl.Phys.A 735 (2004) 372-392
•
e-Print:
- nucl-th/0312109
•
DOI:
- 10.1016/j.nuclphysa.2004.02.018

The algebraic collective model

- Nucl.Phys.A 753 (2005) 94-105
•
DOI:
- 10.1016/j.nuclphysa.2005.01.032

- J.Phys.A 38 10181

Effects of beta-gamma coupling in transitional nuclei and the validity of the approximate separation of variables

M.A. Caprio
(
- Yale U.
)

- Phys.Rev.C 72 (2005) 054323
•
e-Print:
- nucl-th/0510059
•
DOI:
- 10.1103/PhysRevC.72.054323

- J.Phys.A 31 4947

- J.Math.Phys. 45 2761

Construction of SO(5)>SO(3) spherical harmonics and Clebsch-Gordan coefficients

- Comput.Phys.Commun. 180 (2009) 1150-1163
•
e-Print:
- 0902.0020
•
DOI:
- 10.1016/j.cpc.2008.12.039

- J.Phys.A 40 2733

- J.Phys.A 41 304039

Spectral properties of a tractable collective Hamiltonian

S. De Baerdemacker
(
- Gent U. and
- Toronto U.
)
,
K. Heyde
(
- Gent U.
)
,
V. Hellemans
(
- Gent U. and
- Brussels U.
)

- Phys.Rev.C 79 (2009) 034305
•
e-Print:
- 0810.0319
•
DOI:
- 10.1103/PhysRevC.79.034305

Phonon and multi-phonon excitations in rotational nuclei by exact diagonalization of the Bohr Hamiltonian

M.A. Caprio
(
- Notre Dame U.
)

- Phys.Lett.B 672 (2009) 396-400
•
e-Print:
- 0902.0022
•
DOI:
- 10.1016/j.physletb.2009.01.054

Quadrupole collective states within the Bohr collective Hamiltonian

L. Prochniak
(
- Lublin, Curie U.
)
,
S.G. Rohozinski
(
- Warsaw U.
)

- J.Phys.G 36 (2009) 123101
•
e-Print:
- 0911.0366
•
DOI:
- 10.1088/0954-3899/36/12/123101

- Nucl.Phys. 21 142

A Model Analysis of Triaxial Deformation Dynamics in Oblate-Prolate Shape Coexistence Phenomena

Koichi Sato
(
- Kyoto U. and
- Nishina Ctr., RIKEN
)
,
Nobuo Hinohara
(
- Nishina Ctr., RIKEN
)
,
Takashi Nakatsukasa
(
- Nishina Ctr., RIKEN
)
,
Masayuki Matsuo
(
- Niigata U.
)
,
Kenichi Matsuyanagi
(
- Nishina Ctr., RIKEN and
- Kyoto U., Yukawa Inst., Kyoto
)

- Prog.Theor.Phys. 123 (2010) 129-155
•
e-Print:
- 0912.1920
•
DOI:
- 10.1143/PTP.123.129

Surface Oscillations in Even-Even Nuclei

Lawrence Wilets
(
- Los Alamos
)
,
Maurice Jean

- Phys.Rev. 102 (1956) 788-796
•
DOI:
- 10.1103/PhysRev.102.788

1-25 of 44
1
2
25 / page