Exact Solution of Schrödinger Equation for Pentaquark Systems
In this paper, we present an exact analytical solution for five interacting quarks. We solve the Schr\"{o}dinger equation for pentaquarks in the framework of five-body and two-body problems. For this purpose, we utilize Yukawa potential in Jacobi coordinates. Also finding the relatio...
| الحاوية / القاعدة: | Mathematics Interdisciplinary Research |
|---|---|
| المؤلفون الرئيسيون: | , , |
| التنسيق: | مقال |
| اللغة: | الإنجليزية |
| منشور في: |
University of Kashan
2023-08-01
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://mir.kashanu.ac.ir/article_112796_1d6b0d0fcf734b8d5a8d484dd99dcf86.pdf |
| _version_ | 1850265204987789312 |
|---|---|
| author | Narges Tazimi Majid Monemzadeh Shila Naderolasli |
| author_facet | Narges Tazimi Majid Monemzadeh Shila Naderolasli |
| author_sort | Narges Tazimi |
| collection | DOAJ |
| container_title | Mathematics Interdisciplinary Research |
| description | In this paper, we present an exact analytical solution for five interacting quarks. We solve the Schr\"{o}dinger equation for pentaquarks in the framework of five-body and two-body problems. For this purpose, we utilize Yukawa potential in Jacobi coordinates. Also finding the relation between the reduced masses and coupling constants of pentaquarks, we obtain the coupling constant of Yukawa potential for pentaquark systems. We calculate the energy of these systems in their ground state. The results are well consistent with the theoretical results. Our procedure to obtain these results is appropriate for other potentials and $n$-body systems. |
| format | Article |
| id | doaj-art-22e4d805cead4e9e9b530fe1eaed2d9c |
| institution | Directory of Open Access Journals |
| issn | 2476-4965 |
| language | English |
| publishDate | 2023-08-01 |
| publisher | University of Kashan |
| record_format | Article |
| spelling | doaj-art-22e4d805cead4e9e9b530fe1eaed2d9c2025-08-19T23:45:08ZengUniversity of KashanMathematics Interdisciplinary Research2476-49652023-08-01829310310.22052/mir.2022.242241.1287112796Exact Solution of Schrödinger Equation for Pentaquark SystemsNarges Tazimi0Majid Monemzadeh1Shila Naderolasli2Department of Physics, University of Kashan, Kashan, I. R. IranDepartment of Physics, University of Kashan, Kashan, I. R. IranDepartment of Physics, University of Kashan, Kashan, I. R. IranIn this paper, we present an exact analytical solution for five interacting quarks. We solve the Schr\"{o}dinger equation for pentaquarks in the framework of five-body and two-body problems. For this purpose, we utilize Yukawa potential in Jacobi coordinates. Also finding the relation between the reduced masses and coupling constants of pentaquarks, we obtain the coupling constant of Yukawa potential for pentaquark systems. We calculate the energy of these systems in their ground state. The results are well consistent with the theoretical results. Our procedure to obtain these results is appropriate for other potentials and $n$-body systems.https://mir.kashanu.ac.ir/article_112796_1d6b0d0fcf734b8d5a8d484dd99dcf86.pdfexact solutionschrödinger equationpentaquarkcoupling constantyukawa potential |
| spellingShingle | Narges Tazimi Majid Monemzadeh Shila Naderolasli Exact Solution of Schrödinger Equation for Pentaquark Systems exact solution schrödinger equation pentaquark coupling constant yukawa potential |
| title | Exact Solution of Schrödinger Equation for Pentaquark Systems |
| title_full | Exact Solution of Schrödinger Equation for Pentaquark Systems |
| title_fullStr | Exact Solution of Schrödinger Equation for Pentaquark Systems |
| title_full_unstemmed | Exact Solution of Schrödinger Equation for Pentaquark Systems |
| title_short | Exact Solution of Schrödinger Equation for Pentaquark Systems |
| title_sort | exact solution of schrodinger equation for pentaquark systems |
| topic | exact solution schrödinger equation pentaquark coupling constant yukawa potential |
| url | https://mir.kashanu.ac.ir/article_112796_1d6b0d0fcf734b8d5a8d484dd99dcf86.pdf |
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