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Calculation of the deeply bound nuclear states of K 118 Sn K 40 Ca K 12 C and K 3 He Mahbobe Jafari Shahivand mahbobe jafari@ph iut ac ir October 22 2014 Department of Physics Isfahan University of Te nology Isfahan 84156 83111 IranSeyed Zafarollah Kalantari supervisor zafar@cc iut ac irMaryam Hassanvand advisor hassanvand@cc iut ac ir Abstract e investigation of the strong interactions in hadronic atoms is the main motivation to studythe exotic atoms For this purpose a negetive arge particle whi can be a meson or abaryon enters a target then atomic electron is replaced by the particle and nally a highlyexited hadronic atom is formed e particle then cascade down to atomic levels and it in teracts strongly with the nucleus and eventually is absorbed by the nucleus One of thesekind atoms whi is important both theoretically and experimentally is formed by mesonsincluding strangeness like kaon k Density dependent optical potential improved by Friedman can describe the interactionbetween kaon and nucleus correctly So we have solved the Klein Gordon equation by thispotential and Numerov method Interaction between kaon and 118 Sn as a heavy nucleus has been studied e atomic statesof this system were calculated and campared with the experimental data e bound nuclearstates were also determined For this purpose we have used two parameter Fermi function fornuclear density en the K 40 Ca system studied Using a two parameter Fermi function fornuclear density all nuclear levels of this interaction are calculated en we investigate thebehavior of the K in medium nucleus of 12 C using a modi ed harmonic oscillator model fornuclear density Calculating three nuclear levels it was founded that deeply bound nuclearstates of kaon can be formed in carbon e results of this work for calcium and carbonnuclei were compared to the results obtained by other works and it showed a relatively goodconsistency At the end we studied two body interaction between kaon and 3 He by thismethod To calculate the density of helium 3 we used a model a ieved from the solution ofthe S r dinger equation for a three body system and we calculated one deeply bound nuclearstate for this system Yamazaki Akaishi also have calculated one nuclear bound state for thissystem using a di erent model Calculating these levels we have shown that kaon in light medium and heavy nuclei before its decay to main annel allocates a short time to stay at deeply bound nuclear states Since these levels have a large width they will have a very short lifetime and decay to their annel In fact these bound states reinforce the idea that kaon nucleus system before itsdecay to main annel creates quasi bound nuclear states and if experimental method isimproved it will be expected that these bound states can be observed experimentally Keywords hadronic atoms kaon nucleon interaction optical potential deeply boundnuclear states

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