Testing the nature of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi mathvariant="normal">Σ</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mn>1430</mml:mn><mml:mo stretchy

We study the feasibility of having the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msup><a:mi mathvariant="normal">Σ</a:mi><a:mo>*</a:mo></a:msup><a:mo stretchy="false">(</a:mo><a:mn>1430</a:mn><a:mo stretchy="false">)</a:mo></a:math> state, predicted within the chiral unitary approach and recently reported by the Belle Collaboration, as corresponding to a state of a nonmolecular nature. Starting from this assumption, since the state is observed in the <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:mi>π</f:mi><f:mi mathvariant="normal">Λ</f:mi></f:math> channel, we allow the coupling to this state and relate the coupling to <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mover accent="true"><i:mi>K</i:mi><i:mo stretchy="false">¯</i:mo></i:mover><i:mi>N</i:mi></i:math> and <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mi>π</m:mi><m:mi mathvariant="normal">Σ</m:mi></m:math> using <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"><p:mi>S</p:mi><p:mi>U</p:mi><p:mo stretchy="false">(</p:mo><p:mn>3</p:mn><p:mo stretchy="false">)</p:mo></p:math> symmetry arguments. We find that it is possible to have such a state with negligible coupling to the molecular components with a bare mass of the state very close to the physical mass of the <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"><t:msup><t:mi mathvariant="normal">Σ</t:mi><t:mo>*</t:mo></t:msup><t:mo stretchy="false">(</t:mo><t:mn>1430</t:mn><t:mo stretchy="false">)</t:mo></t:math>. Yet this has consequences on other observables, since the width obtained is extremely small and incompatible with the Belle observations, and it leads to abnormally large values of the <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"><y:mover accent="true"><y:mi>K</y:mi><y:mo stretchy="false">¯</y:mo></y:mover><y:mi>N</y:mi></y:math> effective range. Conversely, such mismatches do not appear for large values of the bare mass of the state, but in this case, we observe that the state develops large molecular components. While one can rule out a largely nonmolecular nature for this state, its properties and detailed nature will need further experimental developments which one can anticipate will be coming in the near future.