Correlation function for the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:msub><mml:mrow><mml:mi>f</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="fa

We have addressed here the problem of calculating the correlation function of a stable particle with a resonance, in particular one resonance that qualifies as a molecular state of two components. The formalism used requires us to evaluate the scattering matrix of the stable particle with the molecule, a nuclear problem which we address by means of the fixed center approximation. We have applied the method to the interaction of a proton with the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi>f</a:mi><a:mn>1</a:mn></a:msub><a:mo stretchy="false">(</a:mo><a:mn>1285</a:mn><a:mo stretchy="false">)</a:mo></a:math> resonance, presently under investigation by the ALICE collaboration, where the <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msub><e:mi>f</e:mi><e:mn>1</e:mn></e:msub><e:mo stretchy="false">(</e:mo><e:mn>1285</e:mn><e:mo stretchy="false">)</e:mo></e:math> is taken as a <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:msup><i:mi>K</i:mi><i:mo>*</i:mo></i:msup><i:mover accent="true"><i:mi>K</i:mi><i:mo stretchy="false">¯</i:mo></i:mover><i:mo>−</i:mo><i:msup><i:mover accent="true"><i:mi>K</i:mi><i:mo stretchy="false">¯</i:mo></i:mover><i:mo>*</i:mo></i:msup><i:mi>K</i:mi></i:math> molecule. We find that the <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:mi>p</o:mi><o:msub><o:mi>f</o:mi><o:mn>1</o:mn></o:msub><o:mo stretchy="false">(</o:mo><o:mn>1285</o:mn><o:mo stretchy="false">)</o:mo></o:math> interaction develops a resonance state below the <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"><s:mi>p</s:mi><s:msub><s:mi>f</s:mi><s:mn>1</s:mn></s:msub><s:mo stretchy="false">(</s:mo><s:mn>1285</s:mn><s:mo stretchy="false">)</s:mo></s:math> threshold, which leads to a depletion in the <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:mi>p</w:mi><w:msub><w:mi>f</w:mi><w:mn>1</w:mn></w:msub><w:mo stretchy="false">(</w:mo><w:mn>1285</w:mn><w:mo stretchy="false">)</w:mo></w:math> correlation function for small values of the proton momentum. The discussion presented shows that these type of studies can provide much information on the nature of some resonances and the existence of three-body bound states involving mesons and baryons.