Possible $K \bar{K}^*$ and $D \bar{D}^*$ resonances by solving Schrödinger equation
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| Format: | Preprint |
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2025
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| _version_ | 1866914156324585472 |
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| author | Sun, Bao-Xi Cao, Qin-Qin Sun, Ying-Tai |
| author_facet | Sun, Bao-Xi Cao, Qin-Qin Sun, Ying-Tai |
| contents | The one-pion exchange interaction between the kaon and the vector antikaon is investigated by solving the Schrödinger equation in the S-wave approximation. In addition to the particle $f_1(1285)$, another bound state of $K \bar{K}^*$ is obtained, which is approximately 9 MeV below the threshold of $K \bar{K}^*$ and labeled $f_1(1378)$ for convenience in this manuscript. Under the outgoing wave condition, two resonance states of $K \bar{K}^*$ are produced with different coupling constants fixed with the binding energies of $f_1(1285)$ and $f_1(1378)$, respectively. Both of the resonance states are located in the vicinity of 1400 MeV, and thus it is reasonable to assume that these two resonance states correspond to the $f_1(1420)$ particle in the review of the Particle Data Group simultaneously. This method is extended to study the $D \bar{D}^*$ system analogously. When the particle $χ_{c1}(3872)$ is treated as a bound state of $D \bar{D}^*$, the particles $T_{c\bar{c}1}(3900)$, $T_{c \bar{c}}(4020)$ and $X(3940)$ can be obtained as solutions of the Schrödinger equation under the outgoing wave condition, which implies the spin and parity of these particles are all $J^P=1^+$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_10145 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Possible $K \bar{K}^*$ and $D \bar{D}^*$ resonances by solving Schrödinger equation Sun, Bao-Xi Cao, Qin-Qin Sun, Ying-Tai High Energy Physics - Phenomenology Nuclear Theory The one-pion exchange interaction between the kaon and the vector antikaon is investigated by solving the Schrödinger equation in the S-wave approximation. In addition to the particle $f_1(1285)$, another bound state of $K \bar{K}^*$ is obtained, which is approximately 9 MeV below the threshold of $K \bar{K}^*$ and labeled $f_1(1378)$ for convenience in this manuscript. Under the outgoing wave condition, two resonance states of $K \bar{K}^*$ are produced with different coupling constants fixed with the binding energies of $f_1(1285)$ and $f_1(1378)$, respectively. Both of the resonance states are located in the vicinity of 1400 MeV, and thus it is reasonable to assume that these two resonance states correspond to the $f_1(1420)$ particle in the review of the Particle Data Group simultaneously. This method is extended to study the $D \bar{D}^*$ system analogously. When the particle $χ_{c1}(3872)$ is treated as a bound state of $D \bar{D}^*$, the particles $T_{c\bar{c}1}(3900)$, $T_{c \bar{c}}(4020)$ and $X(3940)$ can be obtained as solutions of the Schrödinger equation under the outgoing wave condition, which implies the spin and parity of these particles are all $J^P=1^+$. |
| title | Possible $K \bar{K}^*$ and $D \bar{D}^*$ resonances by solving Schrödinger equation |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2511.10145 |