Evaluation of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">K</mml:mi><mml:mprescripts /><mml:none /><mml:mn>35</mml:mn></mml:mmultiscripts><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>?</mml:mi><mml:mo>)</mml:mo><mml:mmultiscripts><mml:mi>Ca</mml:mi><mml:mprescripts /><mml:none /><mml:mn>36</mml:mn></mml:mmultiscripts></mml:mrow></mml:math> reaction rate using the <mml:math xmlns:mml="http://www.w3.org/…

A recent sensitivity study has shown that the $^{35}$K$(p,\gamma)^{36}$Ca reaction is one of ten $(p,\gamma)$ rates could significantly impact shape calculated X-ray burst light curve. In this work, we propose to reinvestigate rate, as well related uncertainties, by determining energies and decay branching ratios $^{36}$Ca levels, within Gamow window, in 0.5 2 GK temperature range. These properties were studied using neutron pick-up transfer $^{37}$Ca$(p,d)^{36}$Ca inverse kinematics a radioactive beam $^{37}$Ca at 48 MeV nucleon$^{-1}$. The experiment performed GANIL, used liquid Hydrogen target CRYPTA, MUST2 detector array for detection charged particles zero degree system outgoing heavy ions. atomic mass confirmed new resonances have been proposed together with their proton ratios. This spectroscopic information, combination theoretical predictions $\gamma$-width, calculate rate. recommended rate present work was obtain uncertainty factor 1 sigma. consistent, previous estimate large increase found higher temperatures due two newly discovered resonances. thermonuclear now constrained broad range temperatures. Our results show does not affect curve, it can be removed from list few influential radiative captures reactions having strong on