### Abstract

A procedure is considered for extracting the purely nuclear scattering length a_{s} and effective range r_{s} (which correspond to a strong-interaction potential V_{s} with disregarded Coulomb interaction) from the experimentally determined nuclear quantities a_{cs} and r_{cs}, which are modified by Coulomb interaction. The Coulomb renormalization of a_{s} and r_{s} is especially strong if the system under study involves a level with energy close to zero (on the nuclear scale). This applies to formulas that determine the Coulomb renormalization of the low-energy parameters of s scattering (l = 0). Detailed numerical calculations are performed for coefficients appearing in the equations that determine Coulomb corrections for various models of the potential V_{s}(r). This makes it possible to draw qualitative conclusions about the dependence of Coulomb corrections on the form of the strong-interaction potential and, in particular, on its small-distance behavior. A considerable enhancement of Coulomb corrections to the effective range r_{s} is found for potentials with a barrier.

Original language | English |
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Pages (from-to) | 62-71 |

Number of pages | 10 |

Journal | Physics of Atomic Nuclei |

Volume | 59 |

Issue number | 1 |

Publication status | Published - Jan 1996 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

*Physics of Atomic Nuclei*,

*59*(1), 62-71.

**Coulomb corrections to nuclear scattering lengths and effective ranges for weakly bound systems.** / Mur, V. D.; Popov, V. S.; Sergeev, A. V.

Research output: Contribution to journal › Article

*Physics of Atomic Nuclei*, vol. 59, no. 1, pp. 62-71.

}

TY - JOUR

T1 - Coulomb corrections to nuclear scattering lengths and effective ranges for weakly bound systems

AU - Mur, V. D.

AU - Popov, V. S.

AU - Sergeev, A. V.

PY - 1996/1

Y1 - 1996/1

N2 - A procedure is considered for extracting the purely nuclear scattering length as and effective range rs (which correspond to a strong-interaction potential Vs with disregarded Coulomb interaction) from the experimentally determined nuclear quantities acs and rcs, which are modified by Coulomb interaction. The Coulomb renormalization of as and rs is especially strong if the system under study involves a level with energy close to zero (on the nuclear scale). This applies to formulas that determine the Coulomb renormalization of the low-energy parameters of s scattering (l = 0). Detailed numerical calculations are performed for coefficients appearing in the equations that determine Coulomb corrections for various models of the potential Vs(r). This makes it possible to draw qualitative conclusions about the dependence of Coulomb corrections on the form of the strong-interaction potential and, in particular, on its small-distance behavior. A considerable enhancement of Coulomb corrections to the effective range rs is found for potentials with a barrier.

AB - A procedure is considered for extracting the purely nuclear scattering length as and effective range rs (which correspond to a strong-interaction potential Vs with disregarded Coulomb interaction) from the experimentally determined nuclear quantities acs and rcs, which are modified by Coulomb interaction. The Coulomb renormalization of as and rs is especially strong if the system under study involves a level with energy close to zero (on the nuclear scale). This applies to formulas that determine the Coulomb renormalization of the low-energy parameters of s scattering (l = 0). Detailed numerical calculations are performed for coefficients appearing in the equations that determine Coulomb corrections for various models of the potential Vs(r). This makes it possible to draw qualitative conclusions about the dependence of Coulomb corrections on the form of the strong-interaction potential and, in particular, on its small-distance behavior. A considerable enhancement of Coulomb corrections to the effective range rs is found for potentials with a barrier.

UR - http://www.scopus.com/inward/record.url?scp=0030528380&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030528380&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0030528380

VL - 59

SP - 62

EP - 71

JO - Physics of Atomic Nuclei

JF - Physics of Atomic Nuclei

SN - 1063-7788

IS - 1

ER -