Extrapolation of scattering data to the negative-energy region. II. Applicability of effective range functions within an exactly solvable model
A problem of analytical continuation of scattering data to the negative-energy region to obtain information about bound states is discussed within an exactly solvable potential model. This work is continuation of the previous one by the same authors [L. D. Blokhintsev et al., Phys. Rev. C 95, 044618...
| Main Authors: | , , , |
|---|---|
| Format: | Journal Article |
| Published: |
The American Physical Society
2018
|
| Online Access: | http://hdl.handle.net/20.500.11937/68151 |
| _version_ | 1848761756196798464 |
|---|---|
| author | Blokhintsev, L. Kadyrov, Alisher Mukhamedzhanov, A. Savin, D. |
| author_facet | Blokhintsev, L. Kadyrov, Alisher Mukhamedzhanov, A. Savin, D. |
| author_sort | Blokhintsev, L. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A problem of analytical continuation of scattering data to the negative-energy region to obtain information about bound states is discussed within an exactly solvable potential model. This work is continuation of the previous one by the same authors [L. D. Blokhintsev et al., Phys. Rev. C 95, 044618 (2017)]. The goal of this paper is to determine the most effective way of analytic continuation for different systems. The
d
+
α
and
α
+
12
C
systems are considered and, for comparison, an effective-range function approach and a recently suggested
Δ
method [O. L. Ramírez Suárez and J.-M. Sparenberg, Phys. Rev. C 96, 034601 (2017).] are applied. We conclude that the
Δ
method is more effective for heavier systems with large values of the Coulomb parameter, whereas for light systems with small values of the Coulomb parameter the effective-range function method might be preferable. |
| first_indexed | 2025-11-14T10:36:43Z |
| format | Journal Article |
| id | curtin-20.500.11937-68151 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:36:43Z |
| publishDate | 2018 |
| publisher | The American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-681512018-12-05T01:24:04Z Extrapolation of scattering data to the negative-energy region. II. Applicability of effective range functions within an exactly solvable model Blokhintsev, L. Kadyrov, Alisher Mukhamedzhanov, A. Savin, D. A problem of analytical continuation of scattering data to the negative-energy region to obtain information about bound states is discussed within an exactly solvable potential model. This work is continuation of the previous one by the same authors [L. D. Blokhintsev et al., Phys. Rev. C 95, 044618 (2017)]. The goal of this paper is to determine the most effective way of analytic continuation for different systems. The d + α and α + 12 C systems are considered and, for comparison, an effective-range function approach and a recently suggested Δ method [O. L. Ramírez Suárez and J.-M. Sparenberg, Phys. Rev. C 96, 034601 (2017).] are applied. We conclude that the Δ method is more effective for heavier systems with large values of the Coulomb parameter, whereas for light systems with small values of the Coulomb parameter the effective-range function method might be preferable. 2018 Journal Article http://hdl.handle.net/20.500.11937/68151 10.1103/PhysRevC.97.024602 The American Physical Society restricted |
| spellingShingle | Blokhintsev, L. Kadyrov, Alisher Mukhamedzhanov, A. Savin, D. Extrapolation of scattering data to the negative-energy region. II. Applicability of effective range functions within an exactly solvable model |
| title | Extrapolation of scattering data to the negative-energy region. II. Applicability of effective range functions within an exactly solvable model |
| title_full | Extrapolation of scattering data to the negative-energy region. II. Applicability of effective range functions within an exactly solvable model |
| title_fullStr | Extrapolation of scattering data to the negative-energy region. II. Applicability of effective range functions within an exactly solvable model |
| title_full_unstemmed | Extrapolation of scattering data to the negative-energy region. II. Applicability of effective range functions within an exactly solvable model |
| title_short | Extrapolation of scattering data to the negative-energy region. II. Applicability of effective range functions within an exactly solvable model |
| title_sort | extrapolation of scattering data to the negative-energy region. ii. applicability of effective range functions within an exactly solvable model |
| url | http://hdl.handle.net/20.500.11937/68151 |