The length and effective radius of two-dimensional scattering of a quantum particle by a centrally symmetric short-range potential

Pupyshev, V. V.

doi:10.1007/s11232-014-0199-1

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2015

2023

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Cited by 7 publications

(2 citation statements)

References 20 publications

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“…As already mentioned earlier, in two dimensions the scattering length a ≥ 0 [18]. In the limit a R, the solutions to Eq.…”

Section: =mentioning

confidence: 61%

Two particles interacting via a contact interaction on $S^2$

Schuh¹,

Luu²

2022

Preprint

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We consider two particles interacting via a contact interaction that are constrained to a sphere, or S 2 .We determine their spectrum to arbitrary precision and for arbitrary angular momentum. We show how the non-inertial frame leads to non-trivial solutions for different angular momenta. Our results represent an extension of the finite-volume Lüscher formulas but now to a non-trivial geometry. We apply our results to predict the spectrum of select two-nucleon halo nuclei and compare with experimental results.

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“…As already mentioned earlier, in two dimensions the scattering length a ≥ 0 [18]. In the limit a R, the solutions to Eq.…”

Section: =mentioning

confidence: 61%

Two particles interacting via a contact interaction on $S^2$

Schuh¹,

Luu²

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…The horizontal red line is the experi-mentally determined value of − π 2 ã in the spin-singlet (S = 0) case, while the blue line corresponds to the spin-triplet (S = 1) case, both of which are described and used in Sect. 3 As already mentioned earlier, in two dimensions the scattering length a ≥ 0 [27]. In the limit a R, the solutions to Eq.…”

Section: =mentioning

confidence: 63%

Two particles interacting via a contact interaction on $$S^2$$

Schuh

Luu

2022

Eur. Phys. J. A

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We consider two particles interacting via a contact interaction that are constrained to a sphere, or $$S^2$$ S 2 . We determine their spectrum to arbitrary precision and for arbitrary angular momentum. We show how the non-inertial frame leads to non-trivial solutions for different angular momenta. Our results represent an extension of the finite-volume Lüscher formulas but now to a non-trivial geometry. We apply our results to predict the spectrum of select two-nucleon halo nuclei and compare with experimental results.

show abstract

Effective-radius approximation in the problem of two-dimensional scattering by a central short-range potential

Pupyshev

2015

Theor Math Phys

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The length and effective radius of two-dimensional scattering of a quantum particle by a centrally symmetric short-range potential

Cited by 7 publications

References 20 publications

Two particles interacting via a contact interaction on $S^2$

Two particles interacting via a contact interaction on $S^2$

Two particles interacting via a contact interaction on $$S^2$$

Effective-radius approximation in the problem of two-dimensional scattering by a central short-range potential

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