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The European Physical Journal A

Reply to the Comment by A. Rabhi on “Energies of the ground state and first excited 0 + state in an exactly solvable pairing model”

Nguyen Dinh Dang

Published May 1, 2004• 1 citation
Publisher
DOI
10.1140/epja/i2003-10149-4

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Comment on “Energies of the ground state and first excited 0 + state in an exactly solvable pairing model” by N. Dinh Dang

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Reply by N. Dinh Dang to the Comment by A. Rabhi

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It is pointed out that the ``exact'' solutions given in the recent Comment by A. Rabhi on the paper [N. Dinh Dang ``Energies of the ground state and first excited $0^{+}$ state in an exactly solvable pairing model'', Eur. Phys. Jour. A 16 (2003) 18] do not correspond to the standard exact solution of the well-known two-level pairing model. Other issues raised in the Comment reiterate the discussions already published in the original paper by N. Dinh Dang.

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The comment [CITE] by Zvyagin and Johannesson (ZJ) discusses some of the issues raised in our recent letter [CITE] in which we construct an exactly solvable one-dimensional quantum model, which corresponds to a Heisenberg- XXZ model or spinless fermions on a ring, with defects. In particular, we presented results for the finite-size corrections to the ground-state energy as well as for its flux sensitivity, as a function of a parameter ν which characterizes the strength of the defects.

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Pair transfer as a function of pairing strength in an exactly solvable model

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Pair transfer matrix elements between the ground and excited states of a two-level system with monopole pairing interaction as a function of the pairing strength are calculated. The exact energies of excited states are compared with predictions of the quasiparticle random phase approximation. It is shown that at relatively low values of the pairing strength, two-particle transfer to the first and possibly second excited states must be taken into account for a more accurate description of pairing properties.

Bulletin of the Russian Academy of Sciences Physics•Jul 1, 2013•3 citations
It is pointed out that the ``exact'' solutions given in the recent Comment by A. Rabhi on the paper [N. Dinh Dang ``Energies of the ground state and first excited 0+0^{+}0+ state in an exactly solvable pairing model'', Eur. Phys. Jour. A 16 (2003) 18] do not correspond to the standard exact solution of the well-known two-level pairing model. Other issues raised in the Comment reiterate the discussions already published in the original paper by N. Dinh Dang.
Pair transfer matrix elements between the ground and excited states of a two-level system with monopole pairing interaction as a function of the pairing strength are calculated. The exact energies of excited states are compared with predictions of the quasiparticle random phase approximation. It is shown that at relatively low values of the pairing strength, two-particle transfer to the first and possibly second excited states must be taken into account for a more accurate description of pairing properties.