<p>The particle-hole nuclei <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(^{134-136}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mrow> <mn>134</mn> <mo>-</mo> <mn>136</mn> </mrow> </mmultiscripts> </math></EquationSource> </InlineEquation>Xe are studied using large-scale shell-model calculations with an extended pairing-plus-multipole interaction and monopole corrections. The negative-parity states <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(2^{-}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mn>2</mn> <mo>-</mo> </msup> </math></EquationSource> </InlineEquation> to <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(8^{-}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mn>8</mn> <mo>-</mo> </msup> </math></EquationSource> </InlineEquation> in <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(^{136}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>136</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Xe are predicted at 3.4–3.9 MeV. The quantitative analysis reveals that the monopole effects provide the dominant contribution to reproducing the spectroscopic structure of <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(^{135}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>135</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Xe. The monopole effects between the <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\pi g_{7/2}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>π</mi> <msub> <mi>g</mi> <mrow> <mn>7</mn> <mo stretchy="false">/</mo> <mn>2</mn> </mrow> </msub> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(\nu h_{11/2}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ν</mi> <msub> <mi>h</mi> <mrow> <mn>11</mn> <mo stretchy="false">/</mo> <mn>2</mn> </mrow> </msub> </mrow> </math></EquationSource> </InlineEquation> orbits substantially improve the shell-model precision in these particle-hole nuclei <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(^{134-136}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mrow> <mn>134</mn> <mo>-</mo> <mn>136</mn> </mrow> </mmultiscripts> </math></EquationSource> </InlineEquation>Xe near the doubly magic nucleus <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(^{132}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>132</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Sn.</p>