The production of charged pion pairs via multiphoton absorption from an intense X-ray laser wave colliding with an ultrarelativistic proton beam is studied. Our calculations include the contributions from both the electromagnetic and hadronic interactions where the latter are described approximately by a phenomenological Yukawa potential. Order-of-magnitude estimates for $\pi^+\pi^-$ production on the proton by two- and three-photon absorption from the high-frequency laser field are obtained and compared with the corresponding rates for $\mu^+\mu^-$ pair creation.
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机译：研究了通过强X射线激光波与超相对论质子束碰撞产生的多光子吸收产生带电对子。我们的计算包括电磁和强子相互作用的贡献，后者通过现象学的Yukawa势大致描述。获得了来自高频激光场的两光子和三光子吸收而在质子上产生的$ \ pi ^ + \ pi ^-$的数量级估计，并将其与$ \ mu ^ +的相应速率进行了比较。 \ mu ^-$配对创建。
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