Exploration of resonances by using complex momentum representation

  • Resonance research is a hot topic in nuclear physics, and many methods have been developed for resonances. In this paper, we explore resonances by solving the Schrödinger equation in complex momentum representation, in which the bound states and resonant states are separated completely from the continuum and exposed clearly in the complex momentum plane. We have checked the convergence of the calculations on the grid numbers of the Gauss-Hermite quadrature and the Gauss-Legendre quadrature, and the dependence on the contour of momentum integration. Satisfactory results are obtained. 17O is chosen as an example, and we have calculated the bound and resonant states to be in excellent agreement with those calculated in the coordinate representation.
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Ya-Juan Tian, Tai-Hua Heng, Zhong-Ming Niu, Quan Liu and Jian-You Guo. Exploration of resonances by using complex momentum representation[J]. Chinese Physics C, 2017, 41(4): 044104. doi: 10.1088/1674-1137/41/4/044104
Ya-Juan Tian, Tai-Hua Heng, Zhong-Ming Niu, Quan Liu and Jian-You Guo. Exploration of resonances by using complex momentum representation[J]. Chinese Physics C, 2017, 41(4): 044104.  doi: 10.1088/1674-1137/41/4/044104 shu
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Received: 2016-09-29
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    Supported by National Natural Science Foundation of China (11575002, 11175001, 11205004, 11305002), Program for New Century Excellent Talents at the University of China (NCET-05-0558), Natural Science Foundation of Anhui Province (1408085QA21), Key Research Foundation of Education Ministry of Anhui Province of China (KJ2016A026), and 211 Project of Anhui University

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Exploration of resonances by using complex momentum representation

    Corresponding author: Jian-You Guo,
  • 1. School of Physics and Materials Science, Anhui University, Hefei 230601, China
Fund Project:  Supported by National Natural Science Foundation of China (11575002, 11175001, 11205004, 11305002), Program for New Century Excellent Talents at the University of China (NCET-05-0558), Natural Science Foundation of Anhui Province (1408085QA21), Key Research Foundation of Education Ministry of Anhui Province of China (KJ2016A026), and 211 Project of Anhui University

Abstract: Resonance research is a hot topic in nuclear physics, and many methods have been developed for resonances. In this paper, we explore resonances by solving the Schrödinger equation in complex momentum representation, in which the bound states and resonant states are separated completely from the continuum and exposed clearly in the complex momentum plane. We have checked the convergence of the calculations on the grid numbers of the Gauss-Hermite quadrature and the Gauss-Legendre quadrature, and the dependence on the contour of momentum integration. Satisfactory results are obtained. 17O is chosen as an example, and we have calculated the bound and resonant states to be in excellent agreement with those calculated in the coordinate representation.

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