The possible KK^(*)and D^(*)bound and resonance states by solving the Schrodinger equation  

作　　者：Bao-Xi Sun Qin-Qin Cao Ying-Tai Sun 

机构地区：[1]School of Physics and Optoelectronic Engineering,Beijing University of Technology,Beijing 100124,China [2]School of Mechanical and Materials Engineering,North China University of Technology,Beijing 100144,China

出　　处：《Communications in Theoretical Physics》2024年第10期85-91,共7页理论物理通讯（英文版）

摘　　要：The Schrodinger equation with a Yukawa type of potential is solved analytically.When different boundary conditions are taken into account,a series of solutions are indicated as a Bessel function,the first kind of Hankel function and the second kind of Hankel function,respectively.Subsequently,the scattering processes of K^(*)and D^(*)are investigated.In the K^(*)sector,the f_(1)(1285)particle is treated as a K^(*)bound state,therefore,the coupling constant in the K^(*)Yukawa potential can be fixed according to the binding energy of the f_(1)(1285)particle.Consequently,a K^(*)resonance state is generated by solving the Schrodinger equation with the outgoing wave condition,which lies at 1417-i18 MeV on the complex energy plane.It is reasonable to assume that the K^(*)resonance state at 1417-i18 MeV might correspond to the f_(1)(1420)particle in the review of the Particle Data Group.In the D^(*)sector,since the X(3872)particle is almost located at the D^(*)threshold,its binding energy is approximately equal to zero.Therefore,the coupling constant in the D^(*)Yukawa potential is determined,which is related to the first zero point of the zero-order Bessel function.Similarly to the K^(*)case,four resonance states are produced as solutions of the Schrodinger equation with the outgoing wave condition.It is assumed that the resonance states at 3885~i1 MeV,4029-i108 MeV,4328-i191 MeV and 4772-i267 MeV might be associated with the Zc(3900),the X(3940),theχ_(c1)(4274)andχ_(c1)(4685)particles,respectively.It is noted that all solutions are isospin degenerate.

关 键 词：non-Hermitian quantum mechanics Schrodinger equation meson-meson interaction one-pion exchanging potential resonance state bound state 

分 类 号：O175.2[理学—数学]