```
Schlottmann, P., and Zvyagin, A. A..
```*Threshold singularities in a Fermi gas with attractive potential in one dimension*. United States: N. p., 2015.
Web. doi:10.1016/j.nuclphysb.2015.01.009.

```
Schlottmann, P., & Zvyagin, A. A..
```*Threshold singularities in a Fermi gas with attractive potential in one dimension*. United States. doi:10.1016/j.nuclphysb.2015.01.009.

```
Schlottmann, P., and Zvyagin, A. A.. 2015.
"Threshold singularities in a Fermi gas with attractive potential in one dimension". United States.
doi:10.1016/j.nuclphysb.2015.01.009.
```

```
@article{osti_1228398,
```

title = {Threshold singularities in a Fermi gas with attractive potential in one dimension},

author = {Schlottmann, P. and Zvyagin, A. A.},

abstractNote = {We consider the one-dimensional gas of fermions with spin S interacting via an attractive δ-function potential using the Bethe Ansatz solution. In zero magnetic field the atoms form bound states of N=2S + 1 fermions, i.e. generalized Cooper states with each atom having a different spin component. For low energy excitations the system is a Luttinger liquid and is properly described by a conformal field theory with conformal charge c=1. The linear dispersion of a Luttinger liquid is asymptotically exact in the low-energy limit where the band curvature terms in the dispersion are irrelevant. For higher energy excitations, however, the spectral function displays deviations in the neighborhood of the single-particle (hole) energy, which can be described by an effective X-ray edge type model. Using the Bethe Ansatz solution we obtain expressions for the critical exponents for the single-particle (hole) Green’s function. This model can be relevant in the context of ultracold atoms with effective total spin S confined to an elongated optical trap.},

doi = {10.1016/j.nuclphysb.2015.01.009},

journal = {Nuclear Physics. B},

number = C,

volume = 892,

place = {United States},

year = 2015,

month = 1

}