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Modified Tamm-Dancoff Approximation for Pairing Vibrations

Mihir Ghosh, A. Goswami

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Abstract

The modified Tamm-Dancoff approximation (MTDA) for pairing vibrations is studied. It is shown that the previously reported success of the method is connected with the fact that seniority is a fairly good quantum number for nuclear ground states. It is pointed out that the MTDA may be useful for the treatment of pairing correlations in deformed nuclei. Numerical calculations are presented for ${\mathrm{Mg}}^{24}$. The random-phase-approximation extension of the method is carried out and used to calculate pairing correlations in ground and excited states of the Pb isotopes.

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The modified Tamm-Dancoff approximation (MTDA) for pairing vibrations is studied. It is shown that the previously reported success of the method is connected with the fact that seniority is a fairly good quantum number for nuclear ground states. It is pointed out that the MTDA may be useful for the treatment of pairing correlations in deformed nuclei. Numerical calculations are presented for ${\mathrm{Mg}}^{24}$. The random-phase-approximation extension of the method is carried out and used to calculate pairing correlations in ground and excited states of the Pb isotopes.

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Available abstract

The modified Tamm-Dancoff approximation (MTDA) for pairing vibrations is studied. It is shown that the previously reported success of the method is connected with the fact that seniority is a fairly good quantum number for nuclear ground states. It is pointed out that the MTDA may be useful for the treatment of pairing correlations in deformed nuclei. Numerical calculations are presented for ${\mathrm{Mg}}^{24}$. The random-phase-approximation extension of the method is carried out and used to calculate pairing correlations in ground and excited states of the Pb isotopes.

Key concepts: Pairing, Random phase approximation, Physics, Excited state, Ground state, Vibration, Quantum mechanics, Atomic physics

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