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Jost Function for the Description of Resonance in Finite Quantum Multichannel Systems.

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Title: Jost Function for the Description of Resonance in Finite Quantum Multichannel Systems.
Authors: Mizuyama, Kazuhito1,2 (AUTHOR) mizukazu147@gmail.com
Source: Few-Body Systems. Jun2026, Vol. 67 Issue 2, p1-8. 8p.
Subjects: Resonance, Hartree-Fock approximation, Scattering amplitude (Physics), Particle scattering functions
Abstract: The Jost function is defined as the coefficient function connecting the regular and irregular solutions of the fundamental differential equations. It is known that the zeros of the Jost function on the complex energy plane correspond to the poles of the S-matrix, which represent the complex eigenvalues of bound and resonant states. This paper reviews our recent extensions of the Jost function method to nuclear multichannel systems, specifically within the frameworks of the Hartree-Fock-Bogoliubov (HFB) theory and the Random Phase Approximation (RPA) theory (Jost-RPA method). A unitary S-matrix is derived using these extended Jost functions. By focusing on the poles of the S-matrix, we attempt to analyze and classify the resonances. We discuss three key applications: (1) the extraction of Fano parameters to analyze asymmetric line shapes in neutron scattering within the HFB framework, (2) the decomposition of the RPA strength function using eigenphase shifts, and (3) the application of the Mittag-Leffler theorem to decompose the RPA response into contributions from individual resonance poles. [ABSTRACT FROM AUTHOR]
Copyright of Few-Body Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 193277179
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PubType: Academic Journal
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  Data: Jost Function for the Description of Resonance in Finite Quantum Multichannel Systems.
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  Data: <searchLink fieldCode="AR" term="%22Mizuyama%2C+Kazuhito%22">Mizuyama, Kazuhito</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> mizukazu147@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Few-Body+Systems%22">Few-Body Systems</searchLink>. Jun2026, Vol. 67 Issue 2, p1-8. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Resonance%22">Resonance</searchLink><br /><searchLink fieldCode="DE" term="%22Hartree-Fock+approximation%22">Hartree-Fock approximation</searchLink><br /><searchLink fieldCode="DE" term="%22Scattering+amplitude+%28Physics%29%22">Scattering amplitude (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Particle+scattering+functions%22">Particle scattering functions</searchLink>
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  Data: The Jost function is defined as the coefficient function connecting the regular and irregular solutions of the fundamental differential equations. It is known that the zeros of the Jost function on the complex energy plane correspond to the poles of the S-matrix, which represent the complex eigenvalues of bound and resonant states. This paper reviews our recent extensions of the Jost function method to nuclear multichannel systems, specifically within the frameworks of the Hartree-Fock-Bogoliubov (HFB) theory and the Random Phase Approximation (RPA) theory (Jost-RPA method). A unitary S-matrix is derived using these extended Jost functions. By focusing on the poles of the S-matrix, we attempt to analyze and classify the resonances. We discuss three key applications: (1) the extraction of Fano parameters to analyze asymmetric line shapes in neutron scattering within the HFB framework, (2) the decomposition of the RPA strength function using eigenphase shifts, and (3) the application of the Mittag-Leffler theorem to decompose the RPA response into contributions from individual resonance poles. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Few-Body Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1007/s00601-026-02032-z
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      – Code: eng
        Text: English
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        PageCount: 8
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    Subjects:
      – SubjectFull: Resonance
        Type: general
      – SubjectFull: Hartree-Fock approximation
        Type: general
      – SubjectFull: Scattering amplitude (Physics)
        Type: general
      – SubjectFull: Particle scattering functions
        Type: general
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      – TitleFull: Jost Function for the Description of Resonance in Finite Quantum Multichannel Systems.
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              M: 06
              Text: Jun2026
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              Y: 2026
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              Value: 67
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