A New Feature of the Efimov-Like Structure in the Hadron System: Long-Range Force as a Recoil Effect

作者：Oryu Shinsho^*

来源：Few-Body Systems, 2018, 59(4): UNSP 51.

DOI：10.1007/s00601-018-1373-z

On the three-body kinematics, we investigate the threshold behavior which appears not only at the three-body break-up threshold (3BT), but also at the quasi two-body threshold (Q2T) for the reactions: A + (BC)-> A + B + C, and (ABC)-> A + (BC), respectively. Recently, the author proposed a general particle transfer (GPT) potential which appears, not only at the 3BT, but also at the Q2T between A and (BC). The new potential indicates a Yukawa-type potential for short range, but a 1/r(n)-type potential for long range. The long range part of the GPT potential for n = 1 indicates an attractive Coulomb-like or a gravitation-like potential. While, n = 2 indicates the Efimov-like potential between A and (BC). The three-body binding energy: En = epsilon+zeta n with the two-body binding energy epsilon, and the separation energy zeta(n) for (ABC)-> A+(BC) satisfies E-n/En+1 = zeta(n)/zeta(n+1)=const for epsilon = 0 or the two-body scattering length: alpha ->infinity(i.e. the two-body unitary limit). At the Q2T, the condensation of the three-body binding energy is given by the GPT-potential in the form of E-n/En+1 = (zeta(n) + epsilon)/(zeta(n+1) + epsilon)-> 1 (const) for n ->infinity(with zeta(n) -> 0) which implies the existence of Efimov-like states at the Q2T in the hadron systems, thereby the possibility of "ultra low energy nuclear transformation", where the three-body binding energies degenerate at zero energy. Finally, the origin of such a long range potential will be clarified.

• 出版日期2018-7