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arXiv:nucl-th/0307077

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

Nguyen Dinh Dang

Published Jul 18, 2003• 0 citations
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Abstract

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.

DOI
10.48550/arxiv.nucl-th/0307077

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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+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.
This is a published reply to the comment of Bhaduri and Sen, Physical Review Letters 86, 4708 (2001), cond-mat/0105385, on our original work, Physical Review Letters 85, 1146 (2000), cond-mat/0002282 . In this reply we point out that our continuum theory captures the correct physics of non-interacting fermions in one dimension. In contrast, the two proposed alternative theories of Bhaduri and Sen produce physically incorrect results. We take this opportunity to point out that the abstract of cond-mat/0105385 obscures the contents of the comment and reply. The soliton solutions found in our theory are the continuum analogs of solitonic states which are known from exact studies of non-interacting fermions.