Critical-Point Description of the Transition from Vibrational to Rotational Regimes in the Pairing Phase

Journal Article · Fri Jan 27 00:00:00 EST 2006 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.96.032501· OSTI ID:20776977

Clark, R M; Macchiavelli, A O ^[1]; Fortunato, L ^[2]; Kruecken, R ^[3]

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1. Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720 (United States)
2. Dipartimento di Fisica Galileo Galilei, INFN, Sezione di Padova, Padova (Italy)
3. Physik Department E12, Technische Universitaet Muenchen, Garching (Germany)

An approximate solution at the critical point of the pairing transition from harmonic vibration to deformed rotation in gauge space is found by analytic solution of the collective pairing Hamiltonian. The eigenvalues are expressed in terms of the zeros of Bessel functions of integer order. The results are compared to the pairing bands based on the Pb isotopes.

• OSTI ID: 20776977
• Journal Information: Physical Review Letters, Vol. 96, Issue 3; Other Information: DOI: 10.1103/PhysRevLett.96.032501; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
APPROXIMATIONS
BESSEL FUNCTIONS
COLLECTIVE MODEL
EIGENVALUES
GAUGE INVARIANCE
HAMILTONIANS
LEAD ISOTOPES
ROTATION
ROTATIONAL STATES
VIBRATIONAL STATES